Sign-constancy of Green’s functions for impulsive nonlocal boundary value problems

A. Domoshnitsky, Iu Mizgireva

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We consider the following second order impulsive differential equation with delays:{(Lx)(t)≡x″(t)+∑j=1paj(t)x′(t−τj(t))+∑j=1pbj(t)x(t−θj(t))=f(t),t∈[0,ω],x(tk)=γkx(tk−0),x′(tk)=δkx′(tk−0),k=1,2,…,r. In this paper we consider sufficient conditions of nonpositivity of Green’s function for impulsive differential equation with nonlocal boundary conditions.

Original languageEnglish
Article number175
JournalBoundary Value Problems
Volume2019
Issue number1
DOIs
StatePublished - 1 Dec 2019

Keywords

  • Boundary value problems
  • Second order impulsive differential equations
  • Sign-constancy of Green’s functions

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