Publication details

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

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Year of publication 2022
Type Article in Periodical
Magazine / Source Communications in Contemporary Mathematics
MU Faculty or unit

Faculty of Science

Keywords Asymptotic behavior; bounded solutions; proper solutions; uniqueness; minimal sets; principal solutions; p(t)-Laplacian; half-linear differential equations
Description This paper deals with the second-order nonlinear differential equation (a(t)|x'p(t)-2 x')'= 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.
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