On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Theory of Stochastic Processes
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Theory of Stochastic Processes, 2005 (Volume 11 (27))
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Theory of Stochastic Processes, 2005, № 3-4
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On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space

УДК: 519.21

URI: http://dspace.nbuv.gov.ua/handle/123456789/4423

Посилання: On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space / V.B. Brayman // Theory of Stochastic Processes. — 2005. — Т. 11 (27), № 3-4. — С. 29–41. — Бібліогр.: 5 назв.— англ.

Підтримка: This research has been partially supported by the Ministry of Education and Science of Ukraine, project N GP/F8/0086.

Дата: 2005

Завантажень: 732

On the existence and uniqueness of the solution of a differential equation with interaction governed by generalized function in abstract wiener space

Анотація:

We consider some the following differential equation with interaction governed by a generalized function/ The conditions that guarantee the existence and uniqueness of a solution when mapping a belongs to some Sobolev space are obtained.

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