By using the concept of integrable dichotomy, the fixed point theory, functional analysis methods and some new technique of analysis, we obtain new criteria for the existence and uniqueness of bounded and periodic solutions ...

This paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into ...

In this paper we study the existence and regularity of mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay.

In this paper we discuss the existence of mild, strict and classical solutions for a class of abstract integro-differential equations in Banach spaces. Some applications to ordinary and partial integro-differential equations ...

This paper is concerned with the qualitative properties of the solutions of mixed integro-differential equation (equation presented) with N ≥ 1, M ≥ 1 and ϵ 2 (0; 1). We study decay and symmetry properties of the solutions ...

In this article, we study the existence of mild solutions for fractional neutral integro-differential equations with infinite delay.

© 2018 The Author(s) An exact solution for the scattering wavefunction from a nonlocal potential in the presence of Coulomb interaction is presented. The approach is based on the construction of a Coulomb Green's function ...

© 2018, University of Szeged. All rights reserved. In this paper we study a new class of functions, which we call (ω, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. ...

In this paper we study a new class of functions, which we call (omega, c)-periodic functions. This collection includes periodic, anti-periodic, Bloch and unbounded functions. We prove that the set conformed by these functions ...