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

A. Domoshnitsky, Iu Mizgireva

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - 1 Dec 2019


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

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory


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