Type I operators and the approximation of singular two-point boundary value problems

DOI10.1016/j.amc.2010.05.020zbMath1195.65097OpenAlexW1984677870MaRDI QIDQ988587

Mohamed A. El-Gebeily, Salim Messauodi, Donal O'Regan

Publication date: 18 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.020

zbMATH Keywords

Galerkin methodvariational equationssingular two-point boundary value problemssingular differential equationsself adjoint operators

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Existence and quasilinearization methods in Hilbert spaces
• Spectral theory of ordinary differential operators
• Regular approximations of singular Sturm-Liouville problems
• Existence and boundary behavior for singular nonlinear differential equations with arbitrary boundary conditions
• The finite element-Galerkin method for singular self-adjoint differential equations
• Regular approximation of singular self-adjoint differential operators
• Real Self-Adjoint Sturm–Liouville Problems
• Existence, upper and lower solutions and quasilinearization for singular differential equations
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