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About differential inequalities for nonlocal boundary value problems with impulsive delay equations

Alexander Domoshnitsky, Irina Volinsky (2015)

Mathematica Bohemica

We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value problems for simple auxiliary differential equations with impulses. Careful analysis of these Green's functions allows us to get conclusions about the sign-constancy of Green's functions to given functional differential boundary value problems, using the...

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