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Unbounded solutions for differential equations with p-Laplacian and mixed nonlinearities

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Abstract The existence of unbounded solutions with different asymptotic behavior for a second order nonlinear differential equation with p-Laplacian is considered. The oscillation of all solutions is investigated. Some discrepancies… Click to show full abstract

Abstract The existence of unbounded solutions with different asymptotic behavior for a second order nonlinear differential equation with p-Laplacian is considered. The oscillation of all solutions is investigated. Some discrepancies and similarities between equations of Emden–Fowler-type and equations with mixed nonlinearities are pointed out.

Keywords: unbounded solutions; laplacian mixed; equations laplacian; mixed nonlinearities; differential equations; solutions differential

Journal Title: Georgian Mathematical Journal
Year Published: 2017

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