Publication details
On unbounded solutions for differential equations with mean curvature operator
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Czechoslovak Mathematical Journal |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.21136/CMJ.2023.0111-23 |
| Doi | http://dx.doi.org/10.21136/CMJ.2023.0111-23 |
| Keywords | nonlinear differential equation; curvatore operator; boundary value problem on the half line; fixed point theorem; unbounded solution |
| Description | We present necessary and sufficient conditions for the existence of unbounded increasing solutions to ordinary differential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived. |