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EXISTENCE OF ANTI-PERIODIC MILD SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(0,1)
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作者 Qi Wang Yayun Fang 《Annals of Differential Equations》 2013年第3期346-355,共10页
In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An e... In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results. 展开更多
关键词 fractional diferential equations T-anti-periodic existence and stability fxed point theorems
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POSITIVE SOLUTIONS TO A FIRST ORDER IMPULSIVE INTEGRAL BOUNDARY VALUE PROBLEM ON TIME SCALES
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作者 Youzheng Ding Jiafa Xu Zhongli Wei 《Annals of Differential Equations》 2013年第3期269-276,共8页
In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning t... In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning the frst eigenvalues corresponding to the relevant linear operators, we obtain the main results by Krasnoselskii-Zabreiko fxed point theorem. 展开更多
关键词 time scale integral boundary value problem IMPULSIVE positive solution Krasnoselskii-Zabreiko fxed point theorem
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