Upper and Lower Solutions form-Point Impulsive BVP with One-Dimensionalp-Laplacian-Reference-Cited by-同舟云学术

Upper and Lower Solutions form-Point Impulsive BVP with One-Dimensionalp-Laplacian

Published:2013 Issue: Volume:2013 Page:1-9
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhao Junfang¹,Zhao Jianfeng²,Ge Weigao³

Affiliation:

1. School of Science, China University of Geosciences, Beijing 100083, China

2. College of Science, Hebei University of Engineering, Handan 056038, China

3. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Abstract

Upper and lower solutions theories are established for a kind ofm-point impulsive boundary value problems withp-Laplacian. By using such techniques and the Schauder fixed point theorem, the existence of solutions and positive solutions is obtained. Nagumo conditions play an important role in the nonlinear term involved with the first-order derivatives.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2013/783509.pdf

Reference17 articles.

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3. Periodic Boundary Value Problems for Second Order Impulsive Integrodifferential Equations of Mixed Type in Banach Spaces

4. Monotone-Iterative Techniques of V. Lakshmikantham for a Boundary Value Problem for Systems of Impulsive Differential-Difference Equations

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