Sign-constancy of green's functions for two-point impulsive boundary value problems

A. Domoshnitsky; Iu Mizgireva

doi:10.18514/MMN.2019.2768

Sign-constancy of green's functions for two-point impulsive 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 In this paper we obtain sufficient conditions of nonpositivity of Green's functions for impulsive differential equation. All results are formulated in the form of theorems about differential inequalities. It should be noted that the sign-constancy of the coefficients b_j(t) was assumed in all the literature devoted to impulsive functional differential equations. One of the main purposes of this work is to propose a technique allowing us to avoid these assumptions.

Original language	English
Pages (from-to)	193-208
Number of pages	16
Journal	Miskolc Mathematical Notes
Volume	20
Issue number	1
DOIs	https://doi.org/10.18514/MMN.2019.2768
State	Published - 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
Numerical Analysis
Discrete Mathematics and Combinatorics
Control and Optimization

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10.18514/MMN.2019.2768

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abstract = "We consider the following second order impulsive differential equation with delays In this paper we obtain sufficient conditions of nonpositivity of Green's functions for impulsive differential equation. All results are formulated in the form of theorems about differential inequalities. It should be noted that the sign-constancy of the coefficients bj(t) was assumed in all the literature devoted to impulsive functional differential equations. One of the main purposes of this work is to propose a technique allowing us to avoid these assumptions.",

keywords = "Boundary value problems, Second order impulsive differential equations, Sign-constancy of Green's functions",

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AB - We consider the following second order impulsive differential equation with delays In this paper we obtain sufficient conditions of nonpositivity of Green's functions for impulsive differential equation. All results are formulated in the form of theorems about differential inequalities. It should be noted that the sign-constancy of the coefficients bj(t) was assumed in all the literature devoted to impulsive functional differential equations. One of the main purposes of this work is to propose a technique allowing us to avoid these assumptions.

KW - Boundary value problems

KW - Second order impulsive differential equations

KW - Sign-constancy of Green's functions

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U2 - 10.18514/MMN.2019.2768

DO - 10.18514/MMN.2019.2768

M3 - مقالة

SN - 1787-2405

VL - 20

SP - 193

EP - 208

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 1

ER -

Sign-constancy of green's functions for two-point impulsive boundary value problems

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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