二阶常线性微分方程振荡判据的积分技术

A. Tahir, A. Muhammad, A. Abubakar, H. Habib
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引用次数: 0

摘要

本文指出了利用积分技术求解二阶线性微分方程存在的一个问题。然而,它是;发现某些限制使得现有的准则无法解决二阶方程的问题。利用积分技术,建立了一套新的振动判据,推广了二阶线性常微分方程的所有形式的解。还发现,某些现有的限制已被取消。在新的条件下,二阶常微分方程的解是振荡的。构造了一个例子来验证所设条件的适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Integral Technique of Oscillatory Criteria for Second Order Ordinary Linear Differential Equations
An existing problem using integral technique to solve second order linear differential equations has been identified in this work. It is however; found that certain restrictions are placed hence making it impossible to use the existing criteria to solve problems for second order equations. A new set of oscillatory criteria is established to generalize all forms of solutions to second order linear ordinary differential equations using integral technique. It is also discovered that certain existing restrictions are removed. It is also found that the solutions to the second order ordinary differential equations are oscillatory under the new set of conditions. An example is constructed to test the applicability of the set conditions.
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