四阶非线性泛函差分方程的周期解和次调和解  

Periodic and subharmonic solutions for fourth-order nonlinear functional difference equations

作　　者：彭刚[1] 石海平[2] 

机构地区：[1]广东岭南职业技术学院博雅教育学院,广东广州510663 [2]广东建设职业技术学院基础部,广东广州510450

出　　处：《西北师范大学学报（自然科学版）》2013年第5期17-20,24,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11171078);教育部高等学校博士学科点专项科研基金项目(20114410110002);广东省教育科学"十一五"规划课题(2010tjk074)

摘　　要：研究一类四阶非线性泛函差分方程的周期解和次调和解的存在性.首先建立四阶差分方程的变分泛函,然后将四阶差分方程周期解和次调和解存在性问题转化成相应的泛函临界点的存在性问题.最后,应用临界点理论,得到了周期解和次调和解存在性和多重性的充分条件.Using the critical point theory, the existence solutions to a class of fourth-order nonlinear functional establishing the corresponding variational functional, th solutions of functional difference equations is transfered functional The results obtained enrich the study of the p for fourth-order difference equations. and multiplicity of periodic and subharmonic difference equations are obtained. First, by e existence of the periodic and subharmonic into the existence roblems of periodic of critical points of some and subharmonic solutions

关 键 词：周期解 次调和解 泛函差分方程 环绕定理 

分 类 号：O175.1[理学—数学]