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 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 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 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.
Qualitative investigation of nonlinear differential equations describing infiltration of water
A nonlinear differential equation of the form (q(x)k(x)u')' = F(x,u,u') arising in models of infiltration of water is considered, together with the corresponding differential equation with a positive parameter λ, (q(x)k(x)u')' = λF(x,u,u'). The theorems about existence, uniqueness, boundedness of solution and its dependence on the parameter are established.
Qualitative properties of nonlinear Volterra integral equations.
Regularity for solutions of second-order nonlinear integrodifferential functional equations.
Regularization properties of Tikhonov regularization with sparsity constraints.
Remarks on a nonlinear Volterra equation
Remarks on existence of positive solutions of some integral equations
We study the existence of positive solutions of the integral equation in both and spaces, where and . Throughout this paper is nonnegative but the nonlinearity may take negative values. The Krasnosielski fixed point theorem on cone is used.