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四阶微分方程的两点边值问题及其周期性边值问题
引用本文:刘帅,余赞平,周哲彦. 四阶微分方程的两点边值问题及其周期性边值问题[J]. 漳州师院学报, 2012, 0(3): 21-26
作者姓名:刘帅  余赞平  周哲彦
作者单位:福建师范大学数学与计算机科学学院,福建福州350007
基金项目:国家自然科学基金(11201072)
摘    要:研究一定条件下的四阶微分方程的两点边值问题及周期性边值问题的微分不等式理论与解的存在性.

关 键 词:四阶微分方程  两点边值问题  周期性边值问题  微分不等式  上解与下解

Two-point Boundary Vaule Problem and Periodic Boundary Value Problem for Four-Order Differential Equation
LIU Shuai,YU Zan-ping,ZHOU Zhe-yan. Two-point Boundary Vaule Problem and Periodic Boundary Value Problem for Four-Order Differential Equation[J]. Journal of ZhangZhou Teachers College(Philosophy & Social Sciences), 2012, 0(3): 21-26
Authors:LIU Shuai  YU Zan-ping  ZHOU Zhe-yan
Affiliation:(School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, Fujian 350007, China)
Abstract:In this paper, the writer studies the theory of differential inequalities and the existence of solution to two-point boundary vaule problem and periodic boundary value problem for four-order differential equation under some conditions.
Keywords:four- order differential equation  two-point boundary vaule problem  periodic boundary valueproblem  differential inequality  upper and lower solution
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