Artículo | 2025 |
FORWARDS ATTRACTORS FOR NON-AUTONOMOUS LOTKA-VOLTERRA COOPERATIVE SYSTEMS: A DETAILED GEOMETRICAL DESCRIPTION
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
Artículo | 2025 |
NONLOCAL DIFFUSION ELLIPTIC SYSTEM MODELLING THE BEHAVIOUR OF A BACTERIA AND A LIVING NUTRIENT
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
Artículo | 2024 |
Generalized eigenvalue problem for an interface elliptic equation
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JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2024 |
Point-wise behavior of the explosive positive solutions to a degenerate elliptic BVP with an indefinite weight function
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JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2023 |
Fitting parameters and therapies of ODE tumor models with senescence and immune system.
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Journal of mathematical biology |
Artículo | 2023 |
Some asymmetric semilinear elliptic interface problems
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2022 |
A Glioblastoma PDE-ODE model including chemotaxis and vasculature
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ESAIM: Mathematical Modelling and Numerical Analysis |
Artículo | 2022 |
An intermediate local-nonlocal eigenvalue elliptic problem
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COMMUNICATIONS IN CONTEMPORARY MATHEMATICS |
Artículo | 2022 |
The logistic equation with nonlinear advection term
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
Artículo | 2022 |
The Lotka-Volterra models with non-local reaction terms
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COMMUNICATIONS ON PURE AND APPLIED ANALYSIS |
Artículo | 2021 |
A logistic type equation in RN with a nonlocal reaction term via bifurcation method
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2021 |
Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
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ARCHIV DER MATHEMATIK |
Artículo | 2021 |
Positive solutions for a degenerate Kirchhoff problem
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PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY |
Artículo | 2021 |
Theoretical analysis for a PDE–ODE system related to a glioblastoma tumor with vasculature
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK |
Artículo | 2021 |
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2020 |
Existence of positive solutions for prescribed mean curvature problems with nonlocal term via sub- and supersolution method
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
Artículo | 2020 |
Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
|
MATHEMATISCHE ZEITSCHRIFT |
Artículo | 2020 |
Non-local degenerate diffusion coefficients break down the components of positive solutions
|
ADVANCED NONLINEAR STUDIES |
Artículo | 2020 |
Non-standard bifurcation approach to nonlinear elliptic problems
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Rendiconti dell'Istituto di Matematica dell'Universita di Trieste |
Artículo | 2020 |
On a chemotaxis model with competitive terms arising in angiogenesis
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S |
Artículo | 2020 |
Some superlinear problems with nonlocal diffusion coefficient
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2020 |
Study of a class of generalized schrödinger equations
|
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS |
Artículo | 2019 |
A non-local perturbation of the logistic equation in IR N
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Artículo | 2019 |
EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC EQUATION WITH LOCAL AND NONLOCAL VARIABLE DIFFUSION COEFFICIENT
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
Artículo | 2019 |
Nonlocal problems arising from the birth-jump processes
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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
Artículo | 2019 |
Nonlocal singular elliptic system arising from the amoeba-bacteria population dynamics
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COMMUNICATIONS IN CONTEMPORARY MATHEMATICS |
Artículo | 2019 |
Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2019 |
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
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JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2018 |
Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
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null |
Artículo | 2018 |
Coexistence states in a cross-diffusion system of a predator-prey model with predator satiation term
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MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES |
Artículo | 2018 |
NONLOCAL ELLIPTIC SYSTEM ARISING FROM THE GROWTH OF CANCER STEM CELLS
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B |
Artículo | 2018 |
Some remarks on the comparison principle in Kirchhoff equations
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REVISTA MATEMATICA IBEROAMERICANA |
Artículo | 2018 |
Structure of the set of positive solutions of a non-linear Schrodinger equation
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ISRAEL JOURNAL OF MATHEMATICS |
Artículo | 2018 |
The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient
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CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
Artículo | 2017 |
A non-local non-autonomous diffusion problem: linear and sublinear cases
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK |
Artículo | 2017 |
Architecture of attractor determines dynamics on mutualistic complex networks
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NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
Artículo | 2017 |
Combining linear and fast diffusion in a nonlinear elliptic equation
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CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
Artículo | 2017 |
Existence and uniqueness of solution for a nonhomogeneous nonlocal problem
|
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK |
Artículo | 2017 |
Lotka-Volterra models with fractional diffusion
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PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
Artículo | 2017 |
Refuge versus dispersion in the logistic equation
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2017 |
The sub-supersolution method for Kirchhoff systems: applications
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Progress in Nonlinear Differential Equations and Their Application |
Artículo | 2016 |
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Capítulo | 2016 |
Attracting Complex Networks
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COMPLEX NETWORKS AND DYNAMICS: SOCIAL AND ECONOMIC INTERACTIONS |
Artículo | 2016 |
STUDY OF A LOGISTIC EQUATION WITH LOCAL AND NON-LOCAL REACTION TERMS
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TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS |
Capítulo | 2015 |
A Nonlinear Elliptic Problem WithNon-Local Boundary Condition
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XXIV Congress on Differential Equations and Applications (2015) |
Artículo | 2015 |
Existence of positive solution of a nonlocal logistic population model
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK |
Capítulo | 2015 |
Existence of positive solutions for nonlinear elliptic equations with a nonlocal diffusion coefficient
|
XXIV Congress on Differential Equations and Applications (2015) |
Capítulo | 2015 |
Existence of positive solutions for nonlinear elliptic singular systems with natural growth viasub-supersolution method
|
XXIV Congress on Differential Equations and Applications (2015) |
Artículo | 2015 |
Multiplicity results for an anisotropic equation with subcritical or critical growth
|
ADVANCED NONLINEAR STUDIES |
Artículo | 2015 |
Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Capítulo | 2015 |
Sub-supersolution method for elliptic systems with quadratic gradient lower order terms and singularities
|
XXIV Congress on Differential Equations and Applications (2015) |
Artículo | 2014 |
A symbiotic self-cross diffusion model
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ADVANCES IN DIFFERENTIAL EQUATIONS |
Artículo | 2014 |
BIODIVERSITY AND VULNERABILITY IN A 3D MUTUALISTIC SYSTEM
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
Artículo | 2014 |
SOME EIGENVALUE PROBLEMS WITH NON-LOCAL BOUNDARY CONDITIONS AND APPLICATIONS
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COMMUNICATIONS ON PURE AND APPLIED ANALYSIS |
Artículo | 2014 |
Study of a nonlinear Kirchhoff equation with non-homogeneous material
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2013 |
Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Artículo | 2012 |
ANTI-ANGIOGENIC THERAPY BASED ON THE BINDING TO RECEPTORS
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
Artículo | 2012 |
Combining local and nonlocal terms in a nonlinear elliptic problem
|
MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
Artículo | 2011 |
A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity
|
ADVANCED NONLINEAR STUDIES |
Capítulo | 2011 |
Anti-angiogenic therapy targeting receptors: Model and Analysis I
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XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes |
Capítulo | 2011 |
Estudio teórico de algunos modelos de terapias anti-angiogénicas
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XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes |
Artículo | 2011 |
Some non-local problems with nonlinear diffusion
|
MATHEMATICAL AND COMPUTER MODELLING |
Artículo | 2011 |
Some nonlinear heterogeneous problems with nonlocal reaction term
|
ADVANCES IN DIFFERENTIAL EQUATIONS |
Artículo | 2010 |
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Artículo | 2010 |
Existence of a positive solution for a singular system
|
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
Artículo | 2010 |
On a parabolic-elliptic chemotactic model with coupled boundary conditions
|
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
Artículo | 2010 |
On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2010 |
Some non-local population models with non-linear diffusion
|
Revista Integracion |
Artículo | 2010 |
The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model
|
Boletín de la Sociedad Española de Matemática Aplicada |
Artículo | 2009 |
A Lotka-Volterra symbiotic model with cross-diffusion
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2009 |
PERMANENCE AND ASYMPTOTICALLY STABLE COMPLETE TRAJECTORIES FOR NONAUTONOMOUS LOTKA-VOLTERRA MODELS WITH DIFFUSION
|
SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Artículo | 2008 |
A logistic equation with degenerate diffusion and Robin boundary conditions
|
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS |
Artículo | 2008 |
Nonlinear age-dependent diffusive equations: A bifurcation approach
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2008 |
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
|
ANNALI DI MATEMATICA PURA ED APPLICATA |
Artículo | 2008 |
Positive Solutions of a System Arising from Angiogenesis
|
ADVANCED NONLINEAR STUDIES |
Artículo | 2008 |
Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2007 |
Age-dependent diffusive Lotka-Volterra type systems
|
MATHEMATICAL AND COMPUTER MODELLING |
Artículo | 2007 |
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Capítulo | 2007 |
Estudio teórico de un modelo simplificado sobre angiogénesis
|
XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas |
Artículo | 2007 |
Existence and nonexistence of unbounded forwards attractor for a class of non-autonomous reaction diffusion equations
|
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
Artículo | 2007 |
Existence and uniqueness of positive solution of a logistic equation with nonlinear gradient term
|
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
Capítulo | 2007 |
Some elliptic problems with nonlinear boundary conditions
|
Spectral theory and nonlinear analysis with applications to spatial ccology |
Artículo | 2007 |
The competition between incoming and outgoing fluxes in an elliptic problem
|
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS |
Artículo | 2007 |
The stability of attractors for non-autonomous perturbations of gradient-like systems
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2006 |
A nonlinear age-dependent model with spatial diffusion
|
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2006 |
Analysis of an age-structured predator-prey model with disease in the prey
|
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS |
Artículo | 2006 |
Bifurcations in non-autonomous scalar equations
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2006 |
UNIQUENESS OF SOLUTION FOR ELLIPTIC PROBLEMS WITH NON-LINEAR BOUNDARY CONDITIONS
|
Communications on Applied Nonlinear Analysis |
Artículo | 2005 |
Análisis de algunos modelos de dinámica de poblaciones no lineales estructurados en edad y espacio
|
Boletín de la Sociedad Española de Matemática Aplicada |
Artículo | 2005 |
Bifurcation from zero of a complete trajectory for nonautonomous logistic PDES
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Artículo | 2005 |
On the uniqueness of positive solution of an elliptic equation
|
Applied Mathematics Letters |
Artículo | 2005 |
Relating disease and predation: equilibria of an epidemic model
|
MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
Artículo | 2005 |
The sub-supersolution method for an evolutionary reaction-diffusion age-dependent problem
|
Differential And Integral Equations |
Artículo | 2004 |
An eigenvalue problem for non-bounded quasi-linear operator
|
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY |
Artículo | 2004 |
Combining fast, linear and slow diffusion
|
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS |
Artículo | 2004 |
Combining linear and nonlinear diffusion
|
ADVANCED NONLINEAR STUDIES |
Artículo | 2004 |
Nonnegative solutions for a heterogeneous degenerate competition model
|
ANZIAM JOURNAL |
Artículo | 2004 |
On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem
|
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
Artículo | 2004 |
Singular boundary value problems of a porous media logistic equation
|
Hiroshima Mathematical Journal |
Capítulo | 2004 |
Some indefinite nonlinear eigenvalue problems
|
The first 60 years of nonlinear analysis of Jean Mawhin |
Libro | 2004 |
The first 60 years of nonlinear analysis of Jean Mawhin
|
The first 60 years of nonlinear analysis of Jean Mawhin |
Artículo | 2003 |
Cooperative systems with any number of species
|
QUARTERLY OF APPLIED MATHEMATICS |
Artículo | 2003 |
Existence and uniqueness of positive large solutions to some cooperative elliptic systems
|
ADVANCED NONLINEAR STUDIES |
Artículo | 2003 |
Forwards and pullback behaviour of a non-autonomous Lotka-Volterra system
|
NONLINEARITY |
Artículo | 2003 |
Nonnegative solutions for the degenerate logistic indefinite sublinear equation
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Artículo | 2003 |
Positive solutions for the degenerate logistic indefinite superlinear problem: The slow diffusion case
|
HOUSTON JOURNAL OF MATHEMATICS |
Artículo | 2003 |
Pullback permanence in a non-autonomous competitive Lotka-Volterra model
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2003 |
Study of the optimal harvesting control and the optimality system for an elliptic problem
|
SIAM JOURNAL ON CONTROL AND OPTIMIZATION |
Artículo | 2002 |
Characterizing the existence of large solutions for a class of sublinear problems with nonlinear diffusion
|
ADVANCES IN DIFFERENTIAL EQUATIONS |
Artículo | 2002 |
Non-linear versus linear diffusion from classical solutions to metasolutions
|
ADVANCES IN DIFFERENTIAL EQUATIONS |
Artículo | 2002 |
On the structure of the positive solutions of the logistic equation with nonlinear diffusion
|
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Artículo | 2002 |
Optimal control for the degenerate elliptic logistic equation
|
APPLIED MATHEMATICS AND OPTIMIZATION |
Artículo | 2002 |
Pullback permanence for non-autonomous partial differential equations
|
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2002 |
Stability and uniqueness for cooperative degenerate Lotka-Volterra model
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Artículo | 2002 |
Stability, instability, and bifurcation phenomena in non-autonomous differential equations
|
NONLINEARITY |
Ponencia | 2001 |
Sistemas cooperativos de tipo Volterra-Lotka con tres especies
|
XVII Congreso de Ecuaciones Diferenciales y Aplicaciones, VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001 |
Artículo | 2000 |
Antihepatotoxic activity of Rosmarinus tomentosus in a model of acute hepatic damage induced by thioacetamide
|
PHYTOTHERAPY RESEARCH |
Artículo | 2000 |
EXISTENCE OF SOLUTIONS FOR ELLIPTIC SYSTEMS WITH HÖLDER CONTINUOUS NONLINEARITIES
|
Differential And Integral Equations |
Artículo | 2000 |
On the existence of dead cores for degenerate Lotka-Volterra models
|
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS |
Artículo | 2000 |
On the symbiotic Lotka-Volterra model with diffusion and transport effects
|
JOURNAL OF DIFFERENTIAL EQUATIONS |
Artículo | 2000 |
Weak solutions for some quasilinear elliptic equations by the sub-supersolution method
|
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
Ponencia | 1999 |
Núcleos muertos en modelos de competición con difusión no lineal
|
XVI CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones ; VI CMA Congreso de Matemática Aplicada: Actas. Las Palmas de Gran Canaria, 21-24 septiembre 1999 |
Ponencia | 1998 |
Control de un sistema gobernado por la ecuación de convección-difusión
|
XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997 |