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Green operator for linear Noetherian boundary value problem for the matrix differential equations with impulsive effect. (Russian. English summary) Zbl 1480.34038

Summary: Constructive conditions for the existence of solutions have been found and the generalized Green operator for the linear Noetherian problem and the Green operator of the Cauchy problem for linear matrix system of the differential equation with impulsive effect has been constructed.

MSC:

34B37 Boundary value problems with impulses for ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34B27 Green’s functions for ordinary differential equations