Informace o publikaci
Global positive bounded solutions for equations with regularly varying operator
| Autoři | |
|---|---|
| Rok publikování | 2026 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://www.sciencedirect.com/science/article/pii/S0022247X26000557 |
| Doi | https://doi.org/10.1016/j.jmaa.2026.130443 |
| Klíčová slova | Nonlinear differential equation; Regularly varying operator; Inhomogeneous differential operator; Neumann boundary conditions; Fixed point theorem; Principal solution |
| Přiložené soubory | |
| Popis | A nonlinear differential equation with inhomogeneous differential operator CI', which is regularly varying at zero, is considered. The operator CI' can be viewed as an extension of the p-Laplacian operator and arises in many physical problems, as illustrated by several examples. In particular, the existence of global positive bounded solutions on the half-line with the Neumann type boundary conditions is studied by means of an abstract fixed point theorem and certain properties of an associated half-linear equation. The results do not require the explicit form of the inverse operator of CI', and are completed by an asymptotic analysis of these solutions near infinity. (c) 2026 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |