arXiv subjects

Romeo Perez Ortiz

Publications and source records attributed to Romeo Perez Ortiz.

3 recordsLinked to original sources

arXiv2017

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

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.

math.SP↗

arXiv2014

Correct solvability of hyperbolic Volterra equations with kernels depending on the parameter

We study the correct solvability of an abstract functional differential equations in Hilbert space, which includes integro-differential equations describing evolution of thermal phenomena, heat transfer in materials with memory or sound propagation in viscoelastic media.

math-ph↗

arXiv2014

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

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.

math.SP↗