About sign-constancy of Green's function of one-point problem for impulsive second order delay equations

A. Domoshnitsky, G. Landsman, S. Yanetz

Abstract


We consider the following second order dierential equation with delay

In this paper we nd sucient conditions of positivity of Green's functions for this impulsive equation coupled with one-point boundary conditions in the form of theorems about dierential inequalities.
Choosing the test function in these theorems, we obtain simple sucient conditions.


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