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

Sun, 08/06/2014 - 10:30
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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.