Spectral analysis of Volterra integrodifferential equations with the kernels, depending on parameter

Romeo Perez Ortiz; Victor V. Vlasov; Nadezhda A. Rautian

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arXiv · 1710.07112

Spectral analysis of Volterra integrodifferential equations with the kernels, depending on parameter

Romeo Perez Ortiz·Victor V. Vlasov·Nadezhda A. Rautian

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Abstract

Spectral analysis of operator-functions which are the symbols of the abstract integrodifferential equations of the Gurtin-Pipkin is provided. These equations represent abstract wave equations disturbed by terms involving Volterra operators. Correct solvability in the Sobolev space $W_{2}^{2}((0, T), A^2)$, for arbitrary $T>0$, of that abstract integrodifferential equations is also studied.

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Romeo Perez Ortiz, Victor V. Vlasov, Nadezhda A. Rautian. 2017-10-19. Spectral analysis of Volterra integrodifferential equations with the kernels, depending on parameter. https://arxiv.org/abs/1710.07112

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