Weak solvability of a hyperbolic integro-differential equation with integral condition

Abstract

By using the method of semidiscretization in time also called the Rothe's method, we prove the existence, uniqueness of the weak solution and its continuous dependence upon data, for an hyperbolic integro-differential equation with initial, Neumann and integral conditions.

Keywords

• rothe's method
• hyperbolic equation
• integrodifferential equation
• weak solution