Gurtin-Pipkin型积分微分方程的谱及其在梯度粘弹性结构波动中的应用
Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
摘要：
本文研究了高维Gurtin-Pipkin型积分微分方程的谱性质和谱包络。分析是基于一个运营商的功能，我们认为研究运营商的功能和其他配方的频谱问题之间的关系。该理论被应用到波的Boltzmann阻尼方程。
英文摘要：
In this paper, we study spectral properties and spectral enclosures for the Gurtin-Pipkin type of integro-differential equations in several dimensions. The analysis is based on an operator function and we consider the relation between the studied operator function and other formulations of the spectral problem. The theory is applied to wave equations with Boltzmann damping.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
