Second-Order Differential Equation: Oscillation Theorems and Applications

Shyam S. Santra, Omar Bazighifan, Hijaz Ahmad and Yu-Ming Chu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-6

Abstract:

Differential equations of second order appear in a wide variety of applications in physics, mathematics, and engineering. In this paper, necessary and sufficient conditions are established for oscillations of solutions to second-order half-linear delay differential equations of the form under the assumption . Two cases are considered for and , where and are the quotients of two positive odd integers. Two examples are given to show the effectiveness and applicability of the result.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8820066

DOI: 10.1155/2020/8820066

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