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On the boundary value problems for a class of ordinary differential equations with turning points

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Abstract

In this paper we study the boundary value problems for a class of ordinary differential equations with turning points by the method of multiple scales. The paradox in [1] and the variational approach in [2] are avoided. The uniformly valid asymptotic approximations of solutions have been constructed. We also study the case which does not exhibit resonance.

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Fu-ru, J. On the boundary value problems for a class of ordinary differential equations with turning points. Appl Math Mech 1, 211–223 (1980). https://doi.org/10.1007/BF01876745

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