Iterative technique for third-order differential equation with three-point nonlinear boundary value conditions

By Xiuli Lin, Zengqin Zhao. 2016

55 citations recorded by the source corpus.

In this paper, we study the existence of extremal solutions for a nonlinear third-order differential equation with three-point nonlinear boundary value conditions. By means of the method of upper and lower solutions and different monotone iterative techniques, the sufficient conditions which guarantee the existence of extremal solutions are given. An example illustrates the main results.

Subfields: Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/99ad7d62e7596bdcd5f862432e458169f19fbbb1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

1. Yujun Cui
2. Xinguang Zhang
3. Lishan Liu
4. Yonghong Wu

In Numerical Analysis

1. Yujun Cui
2. Lishan Liu
3. Yonghong Wu
4. Xinguang Zhang

Citations in the corpus

• A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator (2020, methodology): “Here, in order to make the article more complete, we also recall some analysis methods and numerical techniques, which have been used to study various nonlinear ordinary differential equations and partial differential equations such as iterative methods [9, 11, 28, 29, 42, 43, 48, 54, 60, 61, 72, 76”