Anar T. Assanova, Zhazira M. Kadirbayeva
Abstract:
We consider a periodic problem for a system of the loaded hyperbolic equations
with impulse effects. By introducing additional functions, this problem is
reduced to an equivalent problem consisting of a family of periodic
boundary-value problems of loaded ordinary differential equations with
impulse effects and integral relations. We obtain sufficient conditions
for the existence of unique solution to the family of periodic boundary-value
problems. Conditions of unique solvability of periodic problem are established
in terms of initial data.
Submitted February 14, 2018. Published March 15, 2018.
Math Subject Classifications: 34A37, 34B37, 35B10, 35L20, 35R12.
Key Words: System of loaded hyperbolic equations; periodic problem;
impulse effects; solvability.
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Anar T. Assanova Department of Differential Equations Institute of Mathematics and Mathematical Modelling of MES RK Pushkin str., 125, 050010 Almaty, Kazakhstan email: assanova@math.kz, anarasanova@list.ru |
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Zhazira M. Kadirbayeva Department of Differential Equations Institute of Mathematics and Mathematical Modelling of MES RK Pushkin str., 125, 050010 Almaty, Kazakhstan. email: apelman86pm@mail.ru |
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