Work

Leighton–Wintner‐Type Oscillation Criteria for the p(t)‐Laplacian Dynamic Equations on Time Scales

Year: 2026

Type: article

Abstract: ABSTRACT This study investigates oscillation problems for ‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference equations. As illustrative examples, we present several equations, including differential equations on , difference equations on , equations on hybrid time scales combining continuous and discrete parts, and ‐difference equations, and show that all proper solutions are oscillatory. The effectiveness of the obtained results is confirmed through numerical simulations.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70941

Authors: Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka

Institutions: Shimane University, Okayama University of Science

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $5,000

Funders: Sumitomo Foundation, Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science