Existence and comparison results for differential equations of Sobolev type

DOI10.1016/0096-3003(80)90041-7zbMath0435.34005OpenAlexW2069581567MaRDI QIDQ1140199

R. L. Vaughn, Aghalaya S. Vatsala

Publication date: 1980

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

Full work available at URL: http://hdl.handle.net/10106/2424

zbMATH Keywords

comparison resultscontinuation of solutionsPeano's existence theoremdifferential equations of Sobolev type

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

Related Items

Linear methods for differential equations of Sobolev type ⋮ Boundary value problems for second order differential equations of Sobolev type ⋮ Solutions of linear Sobolev differential 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

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