A Class Of Partial Differential Equations On Definite Solution Of The Problem Of Global Solutions For Existence And Uniqueness Of (¢ñ)

Existence and Uniqueness of Global Solutionsfor a Class of Non-linear Equations andNon-local Definite Solutions ProblemsAbstractIn this paper, we consider the non-linear definite solutions, problem(1)(2)(3)where u(t,x)=d₁(x)+d₂(x)p(t,x).The solutions for the equation (1) under the particular non-local initial value and boundary conditions (2),(3), are discussed. The formula of iterative solutionsfor this equation are obtained by using the successive approximations method. The theorem on theexistence and uniqueness of the global solutions for this problem are also theoretically proved.