New and improved oscillation criteria for second-order noncanonical neutral differential equations with distributed deviating arguments
Year: 2025
Type: article
Abstract: This paper addresses the oscillatory behavior of second-ordernoncanonical neutral differential equation with distributeddeviating arguments of the form\[\left[r(t)\left(\left(x(t)+p(t)x(\tau(t))\right)^{\prime}\right)^{\alpha}\right]^{\prime}+ \int_{b_{1}}^{b_{2}}q(t,v)x^{\beta}(\sigma(t,v))dv=0\]with\[\int_{t_{0}}^{\infty} \frac{1}{r^{1/\alpha}(t)} dt<\infty.\]Based on the approaches in the literature, the oscillation of the equationconsidered is established by means of a single condition. Thecriteria presented here are new, and they improve and extend someknown ones appearing in the literature and also significantlysimplify the oscillation analysis of solutions to equations of thistype. A few examples are given to illustrate the applicability ofall the results obtained.
Author: Ercan Tunç
Institution: Tokat Gaziosmanpaşa Üniversitesi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7117614129