Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Periodical |
| Magazine / Source | Monatshefte für Mathematik |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1007/s00605-023-01835-0 |
| Doi | http://dx.doi.org/10.1007/s00605-023-01835-0 |
| Keywords | Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations |
| Description | This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results. |
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