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About Green’s functions for impulsive differential equations. (English) Zbl 1318.34090
From the introduction: There are almost no results about a form of Green’s function for ordinary impulsive differential equations and absolutely no results about a structure of Green’s functions for functional differential equations. The purpose of this paper is to obtain results about representations of Green’s functions, developing the approach of the paper [A. Domoshnitsky and M. Drakhlin, in: Boundary value problems for functional differential equations. Singapore: World Scientific. 107–117 (1995; Zbl 0842.34063)].

MSC:
34K10 Boundary value problems for functional-differential equations
34K45 Functional-differential equations with impulses
34K06 Linear functional-differential equations
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
34K38 Functional-differential inequalities
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