Spectra of the Gurtin-Pipkin type equations with the kernel, depending on the parameter

Romeo Perez Ortiz; Victor V. Vlasov

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arXiv · 1403.4382

Spectra of the Gurtin-Pipkin type equations with the kernel, depending on the parameter

Romeo Perez Ortiz·Victor V. Vlasov

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Abstract

In this paper, we study asymptotic behavior of the spectrum of the abstract Gurtin-Pipkin integro-differential equation with the kernel, depending on the parameter. The coefficients of this equation are unbounded and the main part is an abstract hyperbolic equation perturbed by terms that include Volterra integral operators.

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BibTeX RIS

Romeo Perez Ortiz, Victor V. Vlasov. 2014-03-18. Spectra of the Gurtin-Pipkin type equations with the kernel, depending on the parameter. https://arxiv.org/abs/1403.4382

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