Nonlinear evolution equations and product integration in Banach spaces.
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- by G. F. Webb PDF
- Trans. Amer. Math. Soc. 148 (1970), 273-282 Request permission
Abstract:
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 $[0,\infty )$ to S. The conditions required on A are that A is dissipative on S, the range of $(e - \varepsilon A) = S$ for all $\varepsilon \geqq 0$, and A is continuous on S.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 148 (1970), 273-282
- MSC: Primary 47.65; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9947-1970-0265992-8
- MathSciNet review: 0265992