A Note on the Uniqueness and Existence of the Solution to the Problem of Boundary Values for Some Partial Differential Equations of Second Order

Josef Al Jumayel^*1

Faculty Of Science, Beirut Arab University, Beirut, Lebanon

Abstract

Most physical mathematical problems, when solved, turn into one or more partial differential equations with imposed initial conditions or boundary conditions . This is known as the boundary value problems of differential equations .This research studies the solution of the set of Partial Differential Equations of parabolic and hyperbolic-hyperbolic type with boundary conditions imposed in different regions of the plane x o y .

This research has been proving the theorem of uniqueness and the existence of the solution.

Keywords: Boundary value; differential equation; partial differential equation