The Goursat problem with impulse perturbations
Abstract
An estimate for the function of two variables satisfying the Goursat problem with the data on the characteristics and receives a pulse perturbation at defined curves.
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References
Мартынюк А.А., Гутовски Р. Интегральные неравенства и устойчивость движения. - К.: Наук. думка, 1979. - 249 с.
Мартынюк А.А., Лакшмикантам В., Лила С. Устойчивость движения: метод интегральных неравенств. - К.: Наук. думка, 1989. - 272 с.
Самойленко А.М., Перестюк Н.А. Дифференциальные уравнения с импульсным воздействием. - К.: Вища шк., 1987. - 287 с.
Массалiтiна Є.В. Оцiнка функцiї, яка задовольняє задачi Гурса // Вiсник Харкiвського унiверситету. Серiя: Математика, прикладна математика i механiка - 2005. - №711. - С. 8-16.
Массалiтiна Є.В. Про iнтегро-сумарну нерiвнiсть Перова для функцiй двох змiнних // Укр. мат. журн. 2004. - Т. 56, №11. - С. 1569-1575.
Массалiтiна Є.В. Багатовимiрнi нелiнiйнi iнтегральнi нерiвностi // Науковi вiстi НТУУ «КПI». - 2000. - №6. - C. 149-155.
Тихонов А.Н., Самарский А.А. Уравнения математической физики. - М.: Наука, - 1977. - 737 с.
Шилов Г.Е., Гуревич Б.Л. Интеграл, мера и производная. - М.: Наука, - 1967. - 220 с.
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