About sign-constancy of Green's functions for impulsive second order delay equations

• Autorzy: Domoshnitsky A. , Landsman G. , Yanetz S.

Identyfikatory

DOI

http://dx.doi.org/10.7494/OpMath.2014.34.2.339

• Języki publikacji: EN

Abstrakty

EN

We consider the following second order differential equation with delay [formula] In this paper we find necessary and sufficient conditions of positivity of Green's functions for this impulsive equation coupled with one or two-point boundary conditions in the form of theorems about differential inequalities. By choosing the test function in these theorems, we obtain simple sufficient conditions. For example, the inequality [formula] is a basic one, implying negativity of Green's function of two-point problem for this impulsive equation in the case 0<γi≤1, 0<δi≤1 for i=1,…,p.

Słowa kluczowe

EN

impulsive equations; Green's functions; positivity/negativity of Green's functions; boundary value problem; second order

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2014
• Tom: Vol. 34, no. 2
• Strony: 339--362
• Opis fizyczny: Bibliogr. 36 poz., wykr.

Twórcy

autor

Domoshnitsky A.

• Ariel University Department of Computer Science and Mathematics Ariel 44837, Israel

autor

Landsman G.

• Bar Ilan University Department of Mathematics Ramat-Gan 52990, Israel

autor

Yanetz S.

• Bar Ilan University Department of Mathematics Ramat-Gan 52990, Israel

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