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

Alexander Domoshnitsky, Guy Landsman, Shlomo Yanetz

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

We consider the following second order differential equation with delay (Equation) 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 (Equation) 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.

اللغة الأصليةالإنجليزيّة
الصفحات (من إلى)339-362
عدد الصفحات24
دوريةOpuscula Mathematica
مستوى الصوت34
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 1 يناير 2014

All Science Journal Classification (ASJC) codes

  • !!General Mathematics

بصمة

أدرس بدقة موضوعات البحث “About sign-constancy of Green's functions for impulsive second order delay equations'. فهما يشكلان معًا بصمة فريدة.

قم بذكر هذا