In this paper we analyze the abstract parabolic evolutionary equations [Formula: see text] in
continuous interpolation spaces allowing a singularity as t↓ 0. Here Dtα denotes the time …

We investigate the influence of a general non-local advection term of the form K⁎ u to
propagation in the one-dimensional Fisher-KPP equation. This model is a generalization of …

We construct formal power series solutions of nonlinear integro-differential equations for
given initial conditions which are holomorphic functions on a strip in the complex plane C …

On a class of Volterra nonlinear equations of parabolic type - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

The present thesis is devoted to the study of the Lp-theory of a class of quasilinear parabolic
problems with nonlinear boundary conditions. The main objective here is to prove existence …

The large-time behavior of solutions and finite difference approximations of the nonlinear
integro-differential equation associated with the penetration of a magnetic field into a …

Numerical approximation of the nonlinear averaged integro-differential model associated
with the penetration of a magnetic field into a substance is studied. The statements for large …

Asymptotic behavior of solutions as t→∞ to the nonlinear integro-differential system
associated with the penetration of a magnetic field into a substance is studied. Initial …

This paper investigates the spreading properties of globally defined bounded positive
solutions of a chemotaxis system featuring a logistic source and consumption:\[\left\{\begin …

\noindent Electronic Journal of Differential Equations , Vol . 20 1 1 ( 201 1 ) , No . 1 0 , pp . 1
−− 1 ISSN : 1 72 − 669 Page 1 \noindent Electronic Journal of Differential Equations , Vol …