用临界点理论求瞬时脉冲变系数分数阶微分方程Dirichlet边值问题的无穷多解

IF 3.6 1区数学 Q1 MATHEMATICS, APPLIED

Mathematical Models & Methods in Applied Sciences Pub Date : 2023-01-01 DOI:10.12988/ams.2023.917493

S. Chen, Guoping Chen

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引用次数: 0

摘要

本文利用临界点理论的对称山口引理，讨论了具有瞬时脉冲的变系数分数阶微分方程的Dirichlet边值问题无穷解的存在性，并举例说明了主要结果的影响

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Infinitely many solutions for the Dirichlet boundary value problem for variable coefficient fractional differential equations with instantaneous impulses via critical point theory

In this paper, the existence of inﬁnite solutions to the Dirichlet boundary value problem for variable coeﬃcient fractional diﬀerential equations with instantaneous impulses is discussed by using the the symmetric mountain pass lemma of critical point theory, and an example is given to illustrate the eﬀect of the main result

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来源期刊

Mathematical Models & Methods in Applied Sciences 数学-应用数学

CiteScore

6.30

自引率

17.10%

发文量

审稿时长

1 months

期刊介绍： The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. The principal areas of interest of this journal are the following: 1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. Special attention will be paid to the analysis of nonlinearities and stochastic aspects. Within the above limitation, scientists in all fields which employ mathematics are encouraged to submit research and review papers to the journal. Both theoretical and applied papers will be considered for publication. High quality, novelty of the content and potential for the applications to modern problems in applied sciences and technology will be the guidelines for the selection of papers to be published in the journal. This journal publishes only articles with original and innovative contents. Book reviews, announcements and tutorial articles will be featured occasionally.