The drift paradox asks how stream-dwelling organisms can persist, without being washed out, when they are continuously subject to the unidirectional stream flow. To date, mathematical analyses of the stream paradox have investigated the interplay of growth, drift and flow needed for species persistence under the assumption that the stream environment is temporally constant. However, in reality,...

We have suggested the numerical schemes of collocation methods for approximative solution of singular integrodifferential equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on Fejér points. Theoretical background of collocation methods has been obtained in Generalized Hölder spaces. Singular...

We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract resul...

In this paper, we study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. We also establish the controllability of nonlinear fuzzy neutral integrodifferential systems. The results are obtained in this paper are mainly based on the fuzzy strongly continuous semigroup theory. An example is provided to illustrate the main results of this paper.

We have elaborated the numerical schemes of reduction method by FaberLaurent polynomials for the approximate solution of system of singular integrodifferential equations. The equations are defined on the arbitrary smooth closed contour. The theoretical foundation has been obtained in Lebesgue spaces. Key–Words: singular integrodifferential equations, reduction method, Lebesgue spaces

In this paper, we prove the existence of mild and strong solutions of nonlinear time varying delay integrodifferential equations of Sobolev type with nonlocal cqnditions in Banach spaces. The results are obtained by using the theory of compact semigroups and Schaefer’s fixed-point theorem. @ 2002 Elsevier Science Ltd. All rights reserved. Keywords-Existence theorem, Delay integrodifferential eq...

We present a refinement of the widely accepted spin-wave spectrum that Kalinikos and Slavin computed for magnetic films with an in-plane magnetization (1986). The spin wave follows from diagonal approximation in this theory becomes inaccurate relatively thick films, as has already been noted by Kreisel et al. (2009). Rather than solving integrodifferential equation which magnetostatic Green's f...

In this paper, we study the existence and uniqueness of solutions and controllability for the semilinear fuzzy integrodifferential equations in n-dimensional fuzzy vector space (EN ) n by using Banach fixed point theorem. That is an extension of the result of Park et al. [J.H. Park, J.S. Park and Y.C. Kwun, Controllability for the semilinear fuzzy integrodifferential equations with nonlocal con...