- Tytuł:
- About sign-constancy of Greens functions for impulsive second order delay equations
- Autorzy:
-
Domoshnitsky, A.
Landsman, G.
Yanetz, S. - Powiązania:
- https://bibliotekanauki.pl/articles/255963.pdf
- Data publikacji:
- 2014
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
impulsive equations
Green's functions
positivity/negativity of Green's functions
boundary value problem
second order - Opis:
- 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.
- Źródło:
-
Opuscula Mathematica; 2014, 34, 2; 339-362
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł