About sign-constancy of Green's function of a two-point problem for impulsive second order delay equations

被引：1

作者：

Domoshnitsky, Alexander ^{[1
]}

Landsman, Guy ^{[2
]}

Yanetz, Shlomo ^{[2
]}

机构：

[1] Ariel Univ, Ariel, Israel

[2] Bar Ilan Univ, Ramat Gan, Israel

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

impulsive equations; Green's functions; positivity/negativity of Green's functions; boundary value problem; second order; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; OSCILLATION; STABILITY;

D O I：

10.14232/ejqtde.2016.8.9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the following second order differential equation with delay { (Lx) (t) x ''(t) + Sigma(p)(j=1) a(j)(t)x'(t - tau(j) (t)) + Sigma(p)(j=1) b(j)(t)x(t - theta(j)(t)) = f(t), t is an element of [0, omega] x(t(k)) = gamma(k)x(t(k) - 0), x'(t(k)) = delta(k)x'(t(k) - 0), k = 1, 2, ..., r. In this paper we find sufficient conditions of positivity of Green's functions for this impulsive equation coupled with two-point boundary conditions in the form of theorems about differential inequalities.

引用

页数：16

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[2]

[Anonymous], PITMAN MONOGRAPHS SU

[3]

Azbelev N. V., 1995, ADV SERIES MATH SCI, V3

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