Sobolev type differential equations

DOI10.1016/0096-3003(78)90018-8zbMath0375.35010OpenAlexW2021270592MaRDI QIDQ1246078

M. E. Lord, Vangipuram Lakshmikantham

Publication date: 1978

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10106/2303

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Linear first-order PDEs (35F05)

Related Items (8)

Linear methods for differential equations of Sobolev type ⋮ Boundary value problems for second order differential equations of Sobolev type ⋮ Existence and comparison results for differential equations of Sobolev type ⋮ Solutions of linear Sobolev differential equations ⋮ Validation of an invariant embedding method for Fredholm integral equations ⋮ Existence and uniqueness of Sobolev type integrodifferential equations ⋮ Existence, uniqueness and validation of parameter imbedding equations for nonlinear Fredholm integral equations ⋮ An initial value method for the nonlinear integral equation \(F(u(t),t,\lambda)= \lambda \int^{1}_{0} k(t,y,u(y))dy\)

Cites Work

• Extension of S.L. Sobolev's initial value method to nonlinear integral equations
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