Author(s)

Veli B. Shakhmurov^1,2, Rishad Shahmurov³

¹Department of Industrial Engineering, Antalya Bilim University, Dosemealti, Antalya, Turkey.
²Center of Analytical-Information Resource, Azerbaijan State Economic University, Baku, Azerbaijan.
³University of Alabama, Tuscaloosa, AL, USA.

In this paper, the integral problem for linear and nonlinear wave equations is studied. The equation involves abstract operator A in Hilbert space H. Here, assuming enough smoothness on the initial data and the operators, the existence, uniqueness, regularity properties of solutions are established. By choosing the space H and A, the regularity properties of solutions of a wide class of wave equations in the field of physics are obtained.

Abstract Differential Equations, Boussinesq Equations, Wave Equations, Regularity Property of Solutions, Fourier Multipliers

Shakhmurov, V. and Shahmurov, R. (2022) The Quality Properties of Integral Type Problems for Wave Equations and Applications. Journal of Applied Mathematics and Physics, 10, 1217-1239. doi: 10.4236/jamp.2022.104086.