Resolvent operators for integral equations in a Banach space
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- by R. C. Grimmer PDF
- Trans. Amer. Math. Soc. 273 (1982), 333-349 Request permission
Abstract:
Conditions are given which ensure the existence of a resolvent operator for an integrodifferential equation in a Banach space. The resolvent operator is similar to an evolution operator for nonautonomous differential equations in a Banach space. As in the finite dimensional case, this operator is used to obtain a variation of parameters formula which can be used to obtain results concerning the asymptotic behaviour of solutions and weak solutions.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 273 (1982), 333-349
- MSC: Primary 45N05; Secondary 34G10, 45D05
- DOI: https://doi.org/10.1090/S0002-9947-1982-0664046-4
- MathSciNet review: 664046