Existence and Uniqueness of Sobolev Type Integrodifferential Equations
Abstract
**Please note that the full text is embargoed** 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.