Periodic and Almost Periodic Solutions of Integral Inclusions
The existence of a continuous periodic and almost periodic solutions of the nonlinear integral inclusion is established by means of the generalized Schauder fixed point theorem.
Periodic and asymptotically periodic solutions of neutral integral equations.
Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities.
Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we impose a compactness condition using the ball measure of noncompactness. We obtain the extremal solutions...
Periodic solutions of a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space.
Periodic solutions of a one-dimensional Wilson-Cowan type model.
Periodic solutions of neutral delay integral equations of advanced type.
Periodic solutions of second order integro-differential equations.
Periodic solutions of Volterra integral equations.
Permanence in logistic and Lotka-Volterra systems with dispersal and time delays.
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or phenotypes. Motivated by the theory of mutation-selection in adaptive evolution, we propose a model based on a continuous variable that represents the expression level of a resistance gene (or genes, yielding a phenotype) influencing in healthy and tumor cells birth/death...
Positive almost automorphic solutions for some nonlinear delay integral equations.
Positive solutions of a renewal equation
An existence theorem is proved for the scalar convolution type integral equation .
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth.
Positivity and Regularity of Hyperbolic Volterra Equations in Banach Spaces.