Complex Boundary Value Problems of Nonlinear Differential Equations 2014

Xinguang Zhang,Yong Hong Wu,Dragoș-Pãtru Covei,Xinan Hao

doi:10.1155/2014/496350

Abstract

Complex Boundary Value Problems of Nonlinear Differential Equations 2014

Highlights

The numerical results show that the model and numerical scheme are robust in capturing the feature of incomplete finance market, the influence of market volatility on the price of American options
In the paper titled “Positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions,” by constructing some general type conditions and using fixed point theorem of cone, this paper investigates the existence of at least one and at least two positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions
In the paper titled “Some existence results of positive solution to second-order boundary value problems,” the authors study the existence of positive and monotone solution to a class of boundary value problems by using the fixed point theorem of cone expansion and compression of functional type by Avery, Henderson, and O’Regan

Summary

Introduction

In the paper titled “Positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions,” by constructing some general type conditions and using fixed point theorem of cone, this paper investigates the existence of at least one and at least two positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions. In the paper titled “Existence and uniqueness of positive solutions for a fractional switched system,” the authors discuss the existence and uniqueness of positive solutions for a class of fractional switched system; the main results are based on a fixed point theorem of a sum operator and contraction mapping principle.

Results

Conclusion