Properties of a partial Fredholm integro-differential equations with nonlocal condition and algorithms (Q6591082)

The authors consider a system of partial Fredholm integral-differential equations of hyperbolic type equipped with initial and boundary conditions for \((x,t)\in[0,\omega]\times[0,T]\). The main result establishes necessary and sufficient conditions for the well-posedness of the nonlocal problem. This is given by examining and the algorithm that yields solutions, and by extending the notion of general solution to encompass an equivalent problem.