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Multiple Solutions of Nonlinear Boundary‐Value Problems

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A class of nonlinear boundary‐value problems containing a parameter is studied analytically and numerically. It is shown that under certain circumstances there are two families of solutions when the parameter tends to zero; one family comprises small solutions and is obtained by regular perturbations, while the other family comprises finite solutions incorporating boundary and interior layers. It is shown by numerical integration that the two families are smooth continuations of each other when the parameter passes through finite values.
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Document Type: Research Article

Publication date: October 1, 1980

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