Continuous and generalized solutions of singular integro-differential equations in Banach spaces

Автор: Sidorov N.A., Falaleev M.V.

Журнал: Вестник Южно-Уральского государственного университета. Серия: Математическое моделирование и программирование @vestnik-susu-mmp

Рубрика: Математическое моделирование

Статья в выпуске: 5 (264), 2012 года.

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Continuous and generalized solutions of singular equations in Banach spaces are studied. We apply Lyapunov-Schmidt’s ideas and the generalized Jordan sets techniques and reduce partial differential-operator equations with the Fredholm operator in the main expression to regular problems. In addition the left and right regularizators of singular operators in Banach spaces and fundamental operators in the theory of generalized solutions of singular equations are constructed.

Singular pde, regularizators, distributions, fundamental operatorfunction

Короткий адрес: https://sciup.org/147159188

IDR: 147159188

Список литературы Continuous and generalized solutions of singular integro-differential equations in Banach spaces

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