Asymptotic behavior of solutions to differential equations with p(t)-Laplacian
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Communications in Contemporary Mathematics |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1142/S0219199721500462 |
| Doi | http://dx.doi.org/10.1142/S0219199721500462 |
| 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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