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

Existence and Uniqueness of Global Solutions fora Class of Non-linear Equations andNon-local Definite Solutions Problems (â…¡)AbstractIn this paper,we discuss the non-local definite solutions problem,(1)(2)(3)where u(t, x)=d₁(x)+d₂(x)p(t, x). This problem is a partial differential equationmodel for problem of population as well as a extension of MalthuS'and Verhulst'smathematical models on the human population and the paper [1]. Furthermore, it is anon-linear and non-local definite solutions problem. The formulas of iterative solutionsfor thes equation are obtained by using the successive approximations methed Thetheorem on the existence and uniqueness of the global solutions for this problem arealso theoretically proved.