EXISTENCE OF MULTIPLE SOLUTIONS TO A FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEM WITH PARAMETER 被引量：1

EXISTENCE OF MULTIPLE SOLUTIONS TO A FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEM WITH PARAMETER

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摘要 By establishing the corresponding variational framework, and using critical point theory, we give the existence of multiple solutions to a fractional difference boundary value problem with parameter. Under some suitable assumptions we obtain some results which ensure the existence of well precise interval of parameter for which the problem admits multiple solutions. By establishing the corresponding variational framework, and using critical point theory, we give the existence of multiple solutions to a fractional difference boundary value problem with parameter. Under some suitable assumptions we obtain some results which ensure the existence of well precise interval of parameter for which the problem admits multiple solutions.

作者 Dan Li Yansheng He Chengmin Hou

机构地区 Dept. of Math.

出处《Annals of Differential Equations》 2014年第3期301-311,共11页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China(11161049)

关键词 fractional difference boundary value problem PARAMETER variational framework critical point theory fractional difference boundary value problem parameter variational framework critical point theory

分类号 O175 [理学—基础数学]

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Annals of Differential Equations

2014年第3期

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EXISTENCE OF MULTIPLE SOLUTIONS TO A FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEM WITH PARAMETER 被引量：1

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