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

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.

References in corpus (3)

• Spectrum of the heat equation with memory
• 'Wave type' spectrum of the Gurtin-Pipkin equation of the second order
• Spectra of the Gurtin-Pipkin type equations with the kernel, depending on the parameter