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Method for solving the periodic problem for an impulsive system of hyperbolic integro-differential equations
Дата публикации
1 января 2017 г.
Тип
conference paper
Издатель
American Institute of Physics
Том
1880
Первая страница
040004
Последняя страница
040004
ISSN
0094-243X
Аннотация
The periodic problem for a system of integro-differential equations of hyperbolic type with impulse effects is considered. This problem is reduced to an equivalent problem, consisting of a family of periodic boundary value problems for system of ordinary differential equations with parameter and impulse effects and integral relations by method of introducing additional functions. Sufficient conditions for existence of unique solution to the family of periodic boundary value problem with the impulse effects for system of the ordinary differential equations are received by parametrization method. Conditions for the unique solvability of periodic problem for system of integro - differential equations of hyperbolic type with impulse effects are established in the term of initial data.
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