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On the method of complementary functions for nonlinear boundary-value problems. (English) Zbl 0448.34016


MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Roberts, S., andShipman, J.,Two-Point Boundary-Value Problems: Shooting Methods, American Elsevier, New York, New York, 1972. · Zbl 0239.65061
[2] Agarwal, R.,The Numerical Solution of Multipoint Boundary-Value Problems, Journal of Computational and Applied Mathematics, Vol. 5, No. 1, 1979. · Zbl 0394.65025
[3] Agarwal, R.,On the Periodic Solutions of Nonlinear Second-Order Differential Systems, Journal of Computational and Applied Mathematics, Vol. 5, No. 2, 1979. · Zbl 0407.34021
[4] Miele, A.,Method of Particular Solutions for Linear, Two-Point Boundary-Value Problems, Journal of Optimization Theory and Applications, Vol. 2, No. 4, 1968. · Zbl 0176.04901
[5] Miele, A., andIyer, R. R.,General Technique for Solving Nonlinear, Two-Point Boundary-Value Problems via the Method of Particular Solutions, Journal of Optimization Theory and Applications, Vol. 5, No. 5, 1970. · Zbl 0184.19905
[6] Miele, A., andIyer, R. R.,Modified Quasilinearization Method for Solving Nonlinear, Two-Point Boundary-Value Problems, Journal of Mathematics Analysis and Applications, Vol. 36, No. 3, 1971. · Zbl 0226.65058
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