Iterative methods for the darboux problem for partial functional differential equations

Journal of Inequalities and Applications

卷:1999

关键词: Functional differential equation;    Darboux problem;    Classical solutions;    Functional differential inequalities;    Iterative method;   

DOI  :  

来源: DOAJ

【 摘 要 】

We consider the Darboux problem for the hyperbolic partial functional differential equations where is a function defined by . If then using the method of functional differential inequalities we prove, under suitable conditions, a theorem on the convergence of the Chaplyghin sequences to the solution of problem (1), (2). In case is any Banach space we give analogous theorem on the convergence of the Newton method.

【 授权许可】

Unknown