On nonoscillatory solutions of differential equations with \(p\)-Laplacian (Q2747834)

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scientific article; zbMATH DE number 1658349
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On nonoscillatory solutions of differential equations with \(p\)-Laplacian
scientific article; zbMATH DE number 1658349

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    28 October 2002
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    nonoscillatory solutions
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    singular solutions
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    \(p\)-Laplacian
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    On nonoscillatory solutions of differential equations with \(p\)-Laplacian (English)
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    The paper is concerned with some boundary value problems associated to the nonlinear differential equation of the form NEWLINE\[NEWLINE(a(t)\Phi_p(x'))'=b(t)f(x) NEWLINE\]NEWLINE with \(\Phi_p(u)=|u|^{p-2}u\), \(p>1\). All continuable solutions to the equations considered are classified into disjoint subsets which are fully characterized in terms of certain integral conditions.
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