Existence criteria for singular boundary value problems modelling the membrane response of a spherical cap

DOI10.1016/S1468-1218(02)00007-XzbMath1028.34016MaRDI QIDQ1870870

Ravi P. Agarwal, Donal O'Regan, Vangipuram Lakshmikantham

Publication date: 14 May 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinearitylower solutionupper solutionArzela-Ascoli theoremSchauder theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Membranes (74K15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

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An upper and lower solution theory for singular Emden-Fowler equations ⋮ Positive solutions of singular problems with sign changing Carathéodory nonlinearities depending on \(x'\) ⋮ Heartfelt tribute to the person with an amazing legacy ⋮ Method of quasilinearization for a nonlocal singular boundary value problem in weighted spaces ⋮ Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x′ via index theory ⋮ Existence and uniqueness for second-order vector boundary value problem of nonlinear systems

Cites Work

• Computational methods in engineering boundary value problems
• Some existence results for singular boundary value problems
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• A Singular Nonlinear Boundary Value Problem: Membrane Response of a Spherical Cap
• Boundary value problems singular in the solution variable with nonlinear boundary data

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