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Asymptotic Analysis of Forced Nonlinear Sturm‐Liouville Systems

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A generalized WKB method is used to construct formal asymptotic approximations of solutions of certain forced nonlinear Sturm‐Liouville systems. By means of three connected expansions it is possible to obtain a fairly complete picture of the global behavior of the small‐norm solution branches. Results are presented for both slowly varying and rapidly varying forcing functions.
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Document Type: Research Article

Affiliations: University of California, Los Angeles

Publication date: June 1, 1987

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