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 and solitary wave solutions of two component Zakharov-Yajima-Oikawa system, using Madelung's approach.
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 neutral delay integral equations of advanced type.
Periodic solutions of second order integro-differential equations.
Periodic solutions of Volterra integral equations.
Permanence of a discrete model of mutualism with infinite deviating arguments.
Perturbed Hammerstein integral inclusions with solutions that change sign
We establish new existence results for nontrivial solutions of some integral inclusions of Hammerstein type, that are perturbed with an affine functional. In order to use a theory of fixed point index for multivalued mappings, we work in a cone of continuous functions that are positive on a suitable subinterval of . We also discuss the optimality of some constants that occur in our theory. We improve, complement and extend previous results in the literature.
Perturbed integral equations in modular function spaces.
Pointwise Inclusions of Fixed Points by Finite Dimensional Iteration Schemes.
Positive almost automorphic solutions for some nonlinear delay integral equations.
Positive solutions for a system of fractional boundary value problems
We investigate the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with nonnegative nonlinearities which can be nonsingular or singular functions, subject to multi-point boundary conditions that contain fractional derivatives.
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.
Predictor-corrector methods for nonlinear Volterra integral equations of the second kind
Properties of solutions to nonlinear dynamic integral equations on time scales.
Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application.
Qualitative behavior of a class of second order nonlinear differential equations on the halfline
A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.