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Asymptotic behavior of solutions to differential equations with p(t)p(t)-Laplacian

    https://doi.org/10.1142/S0219199721500462Cited by:1 (Source: Crossref)

    This paper deals with the second-order nonlinear differential equation (a(t)|x|p(t)2x)=b(t)|x|q(t)2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.

    AMSC: 34C10, 34C15
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