Quasilinearization technique for \(\Phi\)-Laplacian type equations (Q456607)
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scientific article; zbMATH DE number 6093886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasilinearization technique for \(\Phi\)-Laplacian type equations |
scientific article; zbMATH DE number 6093886 |
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Quasilinearization technique for \(\Phi\)-Laplacian type equations (English)
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16 October 2012
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Summary: An equation \[ d/dt(\Phi(t, x')) + f(t, x) = 0 \] is considered together with the boundary conditions \[ \Phi(a, x' (a)) = 0,\;x(b) = 0. \] Under appropriate conditions, this problem can be reduced to a quasilinear problem for a two-dimensional differential system. Conditions for the existence of multiple solutions to the original problem are obtained by applying the quasilinearization technique.
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