summary:The existence and attractivity of a local center manifold for fully nonlinear parabolic equation with infinite delay is proved with help of a solutions semigroup constructed on the space of initial conditions. The result is applied to the stability problem for a parabolic integrodifferential equation
Producción CientíficaThis paper provides a dynamical frame to study non- autonomous parabolic partia...
AbstractThe theory of centre manifolds for infinite dimensional systems is described, with emphasis ...
Tese de mestrado, Matemática, Universidade de Lisboa, Faculdade de Ciências, 2018In this dissertatio...
summary:The existence and attractivity of a local center manifold for fully nonlinear parabolic equa...
summary:It is proved that parabolic equations with infinite delay generate $C_0$-semigroup on the sp...
summary:The existence of the Hopf bifurcation for parabolic functional equations with delay of maxim...
Abstract. We deal with a class of parabolic nonlinear evolution equations with state-dependent delay...
AbstractA semigroup approach to differential-delay equations is developed which reduces such equatio...
In this article, center-manifold theory for homoclinic solutions of ordinary differential equations ...
AbstractThe asymptotic behavior of a system of retarded parabolic equations is considered. For any g...
Bifurcation theory has been very successful in the study of qualitative changes in nonlinear dynamic...
We prove the existence and uniqueness of global solutions to semilinear parabolic equations with a n...
Preprint of an article published in Journal of Differential Equations, available at: https://doi.org...
AbstractWe obtain a C1 center manifold theorem for perturbations of delay difference equations in Ba...
Abstract. We prove the existence and uniqueness of global solutions to semi-linear parabolic equatio...
Producción CientíficaThis paper provides a dynamical frame to study non- autonomous parabolic partia...
AbstractThe theory of centre manifolds for infinite dimensional systems is described, with emphasis ...
Tese de mestrado, Matemática, Universidade de Lisboa, Faculdade de Ciências, 2018In this dissertatio...
summary:The existence and attractivity of a local center manifold for fully nonlinear parabolic equa...
summary:It is proved that parabolic equations with infinite delay generate $C_0$-semigroup on the sp...
summary:The existence of the Hopf bifurcation for parabolic functional equations with delay of maxim...
Abstract. We deal with a class of parabolic nonlinear evolution equations with state-dependent delay...
AbstractA semigroup approach to differential-delay equations is developed which reduces such equatio...
In this article, center-manifold theory for homoclinic solutions of ordinary differential equations ...
AbstractThe asymptotic behavior of a system of retarded parabolic equations is considered. For any g...
Bifurcation theory has been very successful in the study of qualitative changes in nonlinear dynamic...
We prove the existence and uniqueness of global solutions to semilinear parabolic equations with a n...
Preprint of an article published in Journal of Differential Equations, available at: https://doi.org...
AbstractWe obtain a C1 center manifold theorem for perturbations of delay difference equations in Ba...
Abstract. We prove the existence and uniqueness of global solutions to semi-linear parabolic equatio...
Producción CientíficaThis paper provides a dynamical frame to study non- autonomous parabolic partia...
AbstractThe theory of centre manifolds for infinite dimensional systems is described, with emphasis ...
Tese de mestrado, Matemática, Universidade de Lisboa, Faculdade de Ciências, 2018In this dissertatio...