Boundary Value Problems on the Half-Line with Impulses and Infinite Delay

Abstract

This paper presents some results on the existence and uniqueness of solutions for the boundary value problems on the half-line with impulses and infinite delay. Moreover, an existence theorem of multiple solutions is obtained also. The problems may be singular at the boundary.

Existence results for neutral functional integrodifferential equations with infinite delay via fractional operators

“…Here, we use an abstract phase space adopted in [12,34]. Sufficient conditions for the existence results are derived by means of the Krasnoselski-Schaefer type fixed point theorem combined with theories of analytic resolvent operators.…”

Existence of Positive Solutions for Multipoint Boundary Value Problem on the Half-Line with Impulses

“…Boundary value problems on the half-line arise quite naturally in the study of radially symmetric solutions of nonlinear elliptic equations and there are many results in this area, see 8,13,14,20,[25][26][27] , for example.…”

Existence Results for a Second Order Impulsive Neutral Functional Integrodierential Inclusions in Banach Spaces with Innite Delay

“…The common space is the phase space B proposed by Hale and Kato [25], which is widely applied in functional differential equations with infinite delay and references therein. However, in this paper, we introduce an abstract phase space B h which has been adopted by [15,18,57]. Based on the phase space B h , Chang et al [15] proved the existence of solutions of impulsive partial neutral functional differential equations with infinite delay:…”