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Qualitative behavior and computation of multiple solutions of nonlinear boundary value problems

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  • We consider nonlinear boundary value problems with multiple solutions. A method is proposed for the computation of such solutions which depends crucially on known a priori qualitative information about the behavior of the solutions. The method is a two-stage method where the second stage is a shooting method and initial values of the shooting parameters are found in a first stage which approximates the boundary value problem with a discrete approximation. Both nonsingular and singular problems are considered.
    Mathematics Subject Classification: Primary: 34B15, 65L10; Secondary: 65L12, 34B16, 34B18, 34A45.


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