Nonoscillation criteria for damped half-linear dynamic equations with mixed derivatives on a time scale

• Published in: Journal of mathematical analysis and applications Vol. 512; no. 2; p. 126183
• Main Author: Ishibashi, Kazuki
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.08.2022
• Subjects: Half-linear dynamic equations; Mixed derivatives; Nonoscillation; Riccati dynamic equations; Time scale; Riccati dynamic equations; Mixed derivatives; Half-linear dynamic equations; Time scale; Nonoscillation

In this study, we investigate the use of two types of damped half-linear dynamic equations on a single time scale to provide sufficient conditions to guarantee nonoscillation for nontrivial solutions of both ordinary differential equations and difference equations. If the time scale is selected from...