Correct solvability of hyperbolic Volterra equations with kernels depending on the parameter
Mathematical Physics
2014-12-03 v1 math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1412.1067,
title = {Correct solvability of hyperbolic Volterra equations with kernels depending on the parameter},
author = {Romeo Perez Ortiz and Victor V. Vlasov},
journal= {arXiv preprint arXiv:1412.1067},
year = {2014}
}