非齐次波动方程的Hyers-Ulam-Rassias稳定性

المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية Pub Date : 1900-01-01 DOI:10.33977/2106-000-003-001

ماهر نظمي قرواني

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摘要

本文应用Duhamel原理证明了零初始条件下无限齐次弦上一维非齐次波动方程的Hyers-Ulam-Rassias稳定性。我们还建立了无限弦非齐次波动方程非零初值问题的Hyers-Ulam-Rassias稳定性。给出了一些说明性实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Hyers-Ulam-Rassias Stability Of The Inhomogeneous Wave Equation

In this paper, we apply the Duhamel’s Principle to prove the Hyers-Ulam-Rassias stability for one-dimensional inhomogeneous wave equation on an infinite homogeneous string with zero initial conditions. We have also established the Hyers-Ulam-Rassias stability of nonzero initial value problem of the inhomogeneous wave equation for an infinite string. Some illustrative examples are given.

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المجلة الفلسطينية للتكنولوجيا والعلوم التطبيقية

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