Generalized monotone iterative methodfor initial value problems

Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equations in Ordered Banach Spaces

and Applied Analysis 3 The purpose of this paper is to improve and extend the above mentioned results. We will delete the Lipschitz condition 1.5 for impulsive function Ik and the restriction condition 1.6 and improve condition 1.4 for nonlinear term f . Our main results are as follows. Theorem 1.1. Let E be an ordered Banach space, whose positive cone P is normal, A : D A ⊂ E → E be a closed l...

An Iterative Methodfor

abstract This paper describes and analyzes a method for nding nontriv-ial solutions of the inequality Ax 0, where A is an mn matrix of rank n. The method is based on the observation that a certain function f has a unique minimum if and only if the inequality fails to have a nontrivial solution. Moreover, if there is a solution, an attempt to minimize f will produce a sequence that will diverge ...

Numerical solution of fuzzy initial value problems under generalized dierentiability by HPM

A New Iterative Method for Solving Initial Value Problems

In this paper, we introduce a new parameter iteration method (P-Iteration for short) ,which can be applied on Adams-Moulton methods to solve initial value problems. Compared with Jacobi iteration method, it has three advantages: (1) it may significantly implement the stable region of the iterative process such that we can efficiently use the large stable region of implicit formula; (2) it allow...

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation