一类分数阶脉冲微分方程边值问题解的存在性OA
Existence of Solutions to Boundary Value Problems of a Class of Fractional Order Impulsive Differential Equations
本文基于对一类带p-Laplacian算子的分数阶微分方程的研究,讨论了同时具有瞬时脉冲和非瞬时脉冲时该类分数阶微分方程在Dirichlet边值条件下解的存在性问题.利用Ricceri提出的临界点理论,证明了该类边值问题至少存在三个解,且得到了该类边值问题解的多重性依赖于两个参数的结论.最后举例说明了结果的适用性.
In this paper,based on the study of a class of fractional-order differential equations with p-Laplacian operator,we discuss the existence of solutions for the class of fractional-order differential equations with both instantaneous and non-instantaneous pulses under Dirichlet boundary value conditions.By using the critical point theory proposed by Ricceri,it is proved that there are at least three solutions of this kind of boundary value problem,and the multiplicity of solutions of this kind of boundary value problem de-pends on two parameters.Finally,an example is given to illustrate the applicability of the results.
黎文博;周文学;张敏
兰州交通大学 数理学院,甘肃 兰州 730070兰州交通大学 数理学院,甘肃 兰州 730070兰州交通大学 数理学院,甘肃 兰州 730070
数理科学
变分法瞬时和非瞬时脉冲p-Laplacian算子临界点理论
variational methodinstantaneous and non-instantaneous pulsesp-Laplacian operatorcritical point theory
《山西大学学报（自然科学版）》 2026 (1)
55-63,9
国家自然科学基金(11961039)甘肃省基础研究创新群体项目(25JRRA805)
评论