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
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
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)
关键词
周期解
次调和解
泛函差分方程
环绕定理
periodic solution
subharmonic solution
functional difference equation
linking theorem
