Nonlinear Evolution Equations and Product Stable Operators on Banach Spaces
نویسندگان
چکیده
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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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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The method of product integration is used to obtain solutions to the nonlinear evolution equation g' = Ag where A is a function from a Banach space S to itself and g is a continuously differentiable function from [0, co) to S. The conditions required on A are that A is dissipative on S, the range of (e — eA) = S for all e^O, and A is continuous on S.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1971
ISSN: 0002-9947
DOI: 10.2307/1995695