Singular solutions of nonlinear differential equations with p(t)-Laplacian
| Authors | |
|---|---|
| Year of publication | 2020 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Differential Equations |
| MU Faculty or unit | |
| 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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