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math.SP2017★ 2 cited
Spectral analysis of Volterra integrodifferential equations with the kernels, depending on parameter
Romeo Perez Ortiz, Victor V. Vlasov, Nadezhda A. Rautian
Spectral analysis of operator-functions which are the symbols of the abstract integrodifferential equations of the Gurtin-Pipkin is provided. These equations represent abstract wav…
math.SP2014★ 4 cited
Spectra of the Gurtin-Pipkin type equations with the kernel, depending on the parameter
Romeo Perez Ortiz, Victor V. Vlasov
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 coefficient…