4 citations · 11 across the 5 of their papers we have counts for
5 papers
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…
Correct solvability of hyperbolic Volterra equations with kernels depending on the parameter
Romeo Perez Ortiz, Victor V. Vlasov
We study the correct solvability of an abstract functional differential equations in Hilbert space, which includes integro-differential equations describing evolution of thermal ph…
Hyperbolic Volterra equations of convolution type in Sobolev spaces
Nadezhda A. Rautian, Victor V. Vlasov
We study the correct solvability of an abstract integro-differential equations in Hilbert space generalizing integro-differential equations arising in the theory of viscoelastisity…
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…
Examples of very unstable linear partial functional differential equations
R. S. Ismagilov, N. A. Rautian, V. V. Vlasov
We consider the examples of partial functional differential equations with delay in the Laplacian. First of these equations is linear parabolic equation, the second one is linear h…