Publication details

Singular solutions of nonlinear differential equations with p(t)-Laplacian

Authors

BARTUŠEK Miroslav FUJIMOTO Kodai

Year of publication 2020
Type Article in Periodical
Magazine / Source Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.jde.2020.08.046
Doi http://dx.doi.org/10.1016/j.jde.2020.08.046
Keywords Singular solutions; Proper solutions; Asymptotic behavior; p(t)-Laplacian; Second-order nonlinear differential equations
Description This paper deals with the singular solutions of the nonlinear differential equation (a(t)|x'|p(t)-2x')'=b(t)|x|q(t)-2x involving p(t)-Laplacian. Sufficient conditions are given for the existence and the nonexistence of singular solutions of the first (second) kind. In addition, we study the existence of proper solutions and the coexistence of proper solutions and singular solutions of the second kind. Finally, some examples are given to illustrate our results.
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