The weak solution of a functional differential equation in a general Banach space
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Publication:1117088
DOI10.1016/0022-0396(88)90140-4zbMath0666.34076OpenAlexW2000040985MaRDI QIDQ1117088
Athanassios G. Kartsatos, Mary E. Parrott
Publication date: 1988
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(88)90140-4
General theory of functional-differential equations (34K05) Linear differential equations in abstract spaces (34G10)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Convergence of the Kato approximants for evolution equations involving functional perturbations
- Existence of solutions and Galerkin approximations for nonlinear functional evolution equations
- On the asymptotic behavior of a semilinear functional differential equation in Banach space
- Nonlinear evolution equations in an arbitrary Banach space
- On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
- Nonlinear semigroups and evolution equations
- The semigroup approach to first order quasilinear equations in several space variables
- A Method of Lines for a Nonlinear Abstract Functional Evolution Equation
- Semigroups of translations associated with functional and functional differential equations
- Representation and approximation of generalized solutions of a nonlinear functional differential equation
- 20.—Functional Differential Equations and Non-linear Evolution Operators
- On Type 2 Semi-Algebras of Continuous Functions
- Nonlinear evolution equations in Banach spaces
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