Nonlinear Evolution Equations and Product Stable Operators on Banach Spaces
نویسنده
چکیده
The method of product integration is used to obtain solutions to the time dependent Banach space differential equation u'(t) = A(t)(u(t)), iäO, where A is a function from [0, oo) to the set of nonlinear operators from the Banach space X to itself and « is a function from [0, oo) to X. The main requirements placed on A are that A is m-dissipative and product stable on its domain. Applications are given to a linear partial differential equation, to nonlinear dissipative operators in Hubert space, and to continuous, m-dissipative. everywhere defined operators in Banach spaces.
منابع مشابه
Nonlinear Evolution Equations and Product Stable Operators on Banach Spaces
The method of product integration is used to obtain solutions to the time dependent Banach space differential equation u'(t) = A(t)(u(t)), iäO, where A is a function from [0, oo) to the set of nonlinear operators from the Banach space X to itself and « is a function from [0, oo) to X. The main requirements placed on A are that A is m-dissipative and product stable on its domain. Applications ar...
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