The paper deals with a one-dimensional porous-elastic system with thermoelasticity of type III and distributed delay term. This model is dealing with dynamics of engineering structures and nonclassical problems of mathematical physics. We establish the well posedness of the system, and by the energy method combined with Lyapunov functions, we discuss the stability of system for both cases of equal and nonequal speeds of wave propagation.

中文翻译：

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具有第三类热弹性和分布延迟的多孔弹性系统：具有良好的稳定性和稳定性

本文研究的是一类具有III类热弹性和分布延迟项的一维多孔弹性系统。该模型处理工程结构的动力学和数学物理学的非经典问题。我们建立了系统的适定性，并通过能量方法与李雅普诺夫函数相结合，讨论了在等速和非等速波传播情况下系统的稳定性。