On the method of complementary functions for nonlinear boundary-value problems

DOI10.1007/BF00934344zbMath0448.34016OpenAlexW2011206457MaRDI QIDQ1146799

Ravi P. Agarwal

Publication date: 1982

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00934344

zbMATH Keywords

nonlinear boundary-value problemsmethod of particular solutionsmethod of adjointsmethod of complementary functions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34)

Related Items (12)

Iterative methods for solving right focal point boundary value problems ⋮ Computational methods for discrete boundary value problems ⋮ Method of chasing for multipoint boundary value problems ⋮ Boundary value problems occurring in plate deflection theory ⋮ On the method of complementary functions for linear and nonlinear two- point boundary value problems ⋮ Existence-uniqueness and iterative methods for third-order boundary value problems ⋮ Finite-difference methods for boundary-value problems of differential equations with deviating arguments ⋮ On multipoint boundary value problems for discrete equations ⋮ Iterative methods for a fourth order boundary value problem ⋮ Initial-value methods for discrete boundary value problems ⋮ A subdivision approach to the construction of approximate solutions of boundary-value problems with deviating arguments ⋮ A new shooting method for multi-point discrete boundary value problems

Cites Work

• Unnamed Item
• The numerical solution of multipoint boundary value problems
• On periodic solutions of nonlinear second order differential systems
• Method of particular solutions for linear, two-point boundary-value problems
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems

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