时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性(英文)

Positive solutions to boundary value problems for mimpulsive points p-Laplacian dynamic equations on time scales

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摘要讨论了一类时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性.利用不动点定理,建立了上述边值问题至少2个和至少3个正解存在的充分条件.同时也给出了例子加以验证. The existence of positive solutions to boundary value problem for m impulsive points p-Laplacian dynamic equations on time scales was disscussed.Using fixed point theorems for an operator on a cone,sufficient conditions were established for the existence of at least two and three positive solutions to the above boundary value problem.Also,some examples were provided to demonstrate the main results.

作者金燕张忠军杨军宋娜娜

机构地区燕山大学理学院

出处《中国科学技术大学学报》 CAS CSCD 北大核心 2011年第6期497-503,共7页 JUSTC

基金 Supported by the NNSF of China(60604004) the Special Projects in Mathematics Funded by NSF of Hebei Province (07 M005) Science and Technology Support Projects of Qinhuangdao (201001A037).

关键词脉冲动力方程时标正解 p拉普拉斯不动点定理边值锥 impulsive dynamic equation time scales positive solution p-Laplacian fixed point theorem boundary value problem cone

分类号 O175 [理学—基础数学]

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参考文献1

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共引文献3

1Dongdong Li, Zhanbing Bai (College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266510, Shandong).SOLVABILITY FOR FRACTIONAL-ORDER TWO-POINT BOUNDARY VALUE PROBLEM AT RESONANCE[J].Annals of Differential Equations,2011,27(2):156-161. 被引量：1
2Yuming Wei, Yanqiu Tang (School of Mathematical Science, Guangxi Normal University, Guilin 541004, Guangxi) Weigao Ge (Dept. of Math., Beijing Institute of Technology, Beijing 100081).MULTIPLE POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEMS OF DELAY DIFFERENTIAL EQUATIONS WITH DENUMBERABLE SINGULARITIES ON INFINITE INTERVAL[J].Annals of Differential Equations,2011,27(2):222-227.
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中国科学技术大学学报

2011年第6期

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时标上带m个脉冲点的p拉普拉斯动力方程边值问题的正解存在性(英文)

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