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Existence and Uniqueness of Sobolev Type Integrodifferential Equations

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Existence and Uniqueness of Sobolev Type Integrodifferential Equations

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Title: Existence and Uniqueness of Sobolev Type Integrodifferential Equations
Author: Lord, M. E.
Abstract: An imbedding method for nonlinear Fredholm integral equations gives rise to a Sobolev type integrodifferential equation. For such equations, sufficient conditions are given to guarantee local existence and uniqueness of solutions. A Picard type theorem utilizing a Lipschitz condition is obtained.
URI: http://hdl.handle.net/10106/2280
Date: 1977-07

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