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时标上二阶脉冲动力方程边值问题正解的存在性 被引量:1

Existence of Positive Solutions for Boundary Value Problems of Second-Order Impulsive Dynamic Equations on Time Scales
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摘要 研究了时标上p-Laplacian二阶脉冲边值问题解的存在性,利用twin不动点定理,得到了至少存在2个正解的判别条件,并通过举例证明了结果的可行性。 The existence of positive solutions for second-order impulsive dynamic equations with p-Laplacian operator on time scales are studied.By means of the twin fixed point theorem,the criteria for the existence of at least two positive solutions for the above problem is established,and the feasibility is demonstrated.
作者 武利猛 张娟 李素红 石瑞书 WU Limeng;ZHANG Juan;LI Suhong;SHI Ruishu(School of Mathematics and Information Technology,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China;Department of Scientific Research,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China)
出处 《河北科技师范学院学报》 CAS 2020年第4期7-13,共7页 Journal of Hebei Normal University of Science & Technology
关键词 时标 P-LAPLACIAN算子 twin不动点定理 脉冲动力方程 Time scales p-Laplacian operator twin fixed point theorem impulsive dynamic equations
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  • 1孙红蕊,李万同.测度链上非线性m-点边值问题的正解[J].数学学报(中文版),2006,49(2):369-380. 被引量:7
  • 2王培光,王颖.时间尺度上二阶动力方程三点边值问题解的存在性[J].数学学报(中文版),2007,50(3):701-706. 被引量:8
  • 3Bohner M,Peterson A. Dynamic Equations on Time Scales:an Introduction with Applications[ M]. Boston:BirkhAuser,2001. 被引量:1
  • 4Bohner M, Peterson A. Advances in Dynamic Equations on Time Scales[ M]. Boston : Birkh:iuser,2003. 被引量:1
  • 5Ismail Y. Existence of positive solutions for nonlinear three-point problems on time scales [ J ]. Journal of Computational and Applied Mathematics, 2007,206 ( 2 ) :888-897. 被引量:1
  • 6Han W, Liu M X. Existence and uniqueness of a nontrivial solution for a class of third-order nonlinear p-Laplacian m-point eigenvalue problems on time scales [ J ]. Nonlinear Analysis,2009,70 ( 5 ) : 1 877 -1 889. 被引量:1
  • 7Sun H R, Li W T. Multiple positive solutions for p-Laplaeian m-point boundary value problems on time scales [ J ]. Applied Mathematics and Computation, 2006,182 ( 1 ) : 478-49 I. 被引量:1
  • 8Sun J P. Twin positive solutions of nonlinear first-order boundary value problems on time scales [ J ]. Nonlinear Analysis, 2008,68 (6) : 1 754-1 758. 被引量:1
  • 9Song C X, Weng P X. Multiple positive solutions for p-Laplacian functional dynamic equations on time scales [ J ]. Nonlinear Analysis,2008,68(2) :208-215. 被引量:1
  • 10Liang S H,Zhang J H, Wang Z Y. The existence of three positive solutions of m-point boundary value problems for some dy- namic equations on time scales[ J]. Mathematical and Computer ModeUing,2009,49 : 1 386-1 393. 被引量:1

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