A variational approach for boundary value problems for impulsive fractional differential equations

被引：0
作者：
Ghasem A. Afrouzi
Armin Hadjian
机构：
[1] Faculty of Mathematical Sciences University of Mazandaran,Department of Mathematics
[2] Faculty of Basic Sciences University of Bojnord,Department of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 34A08; Secondary 34B37; 26A33; 58E05; 58E30; fractional differential equations; impulsive conditions; weak and classical solutions; infinitely many solutions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By using an abstract critical point result for differentiable and parametric functionals due to B. Ricceri, we establish the existence of infinitely many classical solutions for fractional differential equations subject to boundary value conditions and impulses. More precisely, we determine some intervals of parameters such that the treated problems admit either an unbounded sequence of solutions, provided that the nonlinearity has a suitable oscillatory behaviour at infinity, or a pairwise distinct sequence of solutions that strongly converges to zero if a similar behaviour occurs at zero. No symmetric condition on the nonlinear term is assumed. Two examples are then given.
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页码：1565 / 1584
页数：19
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