On the Neumann problem for a hyperbolic partial differential equation of second order

Abstract

The paper concerns the Neumann problem for the equation uxy = c. By using the method of G. Fichera, introduced in paper [5] devoted to the Dirichlet problem, necessary and sufficient conditions for the existence of the solutions are found.

Keywords

• hyperbolic equation
• linear boundary value problem
• neumann problem
• improperly posed problem
• banach space
• functional equation