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

A. Domoshnitsky; Iu Mizgireva

doi:https://doi.org/10.1186/s13661-019-1290-1

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

A. Domoshnitsky, Iu Mizgireva

Department of Mathematics

Ariel University

Research output: Contribution to journal › Article › peer-review

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 language	English
Article number	175
Journal	Boundary Value Problems
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13661-019-1290-1
State	Published - 1 Dec 2019

Keywords

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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https://doi.org/10.1186/s13661-019-1290-1

Cite this

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title = "Sign-constancy of Green{\textquoteright}s functions for impulsive nonlocal boundary value problems",

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{\textquoteright}s function for impulsive differential equation with nonlocal boundary conditions.",

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T1 - Sign-constancy of Green’s functions for impulsive nonlocal boundary value problems

AU - Domoshnitsky, A.

AU - Mizgireva, Iu

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N2 - 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.

AB - 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.

KW - Boundary value problems

KW - Second order impulsive differential equations

KW - Sign-constancy of Green’s functions

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DO - https://doi.org/10.1186/s13661-019-1290-1

M3 - مقالة

SN - 1687-2762

VL - 2019

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 175

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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