About Sign-Constancy of Green's Functions for Impulsive Second Order Delay Equations

Speaker
Guy Lendesman - BIU
Date
08/06/2014 - 10:30Add to Calendar 2014-06-08 10:30:00 2014-06-08 10:30:00 About Sign-Constancy of Green's Functions for Impulsive Second Order Delay Equations We consider a second order delay differential equation with impulses. 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. אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

We consider a second order delay differential equation with impulses. 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.

תאריך עדכון אחרון : 01/06/2014