期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

时标上二阶混合型边值问题的正解存在性 被引量：3

Existence of Positive Solutions for Mixed Second Order Boundary Value Problems on Time Scales
原文传递
导出
摘要 本文考虑了时标上二阶边值问题的正解存在性,利用范数形式的锥不动点原理得到了一个正解存在性的定理. This paper is concerned with the existence of positive solutions for second- order boundary value problems on time scales. An existence theorem of positive solutions is established by making use of the cone fixed point theorem of norm form.
作者 杨军 张玉静
机构地区 燕山大学理学院 保定科技职业学院信息工程系
出处 《应用数学学报》 CSCD 北大核心 2008年第4期592-598,共7页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(60404022，60604004) 河北省自然科学基金数学研究专项(07M005) 河北省自然科学基金(102160) 河北省教育厅资助项目(2004123)．
关键词 正解 时标 边值问题 positive solutions time scales boundary value problem
分类号 O175.8 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Hilger S. Analysis on Measure Chains-a Unified Approach to Continuous and Discrete Calculus. Results Math., 1990, 18:18-56.
  • 2Bohner M, Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications. Boston: Birkhauser, 2001.
  • 3Bohner M, Peterson A. Advances in Dynamic Equations on Time Scales. Boston: Birkhauser, 2003.
  • 4Kaymakcalan B, Lakshmikantham V, Sivasundaram S. Dynamic System on Measure Chains. Dordrecht: Kluwer Academic, 1996.
  • 5Erbe L. Peterson A. Positive Solutions for a Nonlinear Differential Equations on a Measure Chain. Math. Comp. Mode., 2000, 32:571-585.
  • 6Li W T, Liu X L. Eigenwlue Problems for Second-order Nonlinear Dynamic Equations on Time Scales. J. Math. Anal. Appl., 2005, 318:578-592.
  • 7Atici F M, Guseinov G Sh. On Green's Functions and Positive Solutions for Boundary Value Problems on Time Scales. J. Comp. Appl. Math., 2002 141:75-99.
  • 8Hao Z C, Liang J, Xiao T J. Existence Results for Time Scale Boundary Valre Problem. J. Comp. Appl. Math., 2006, 197:156-168.
  • 9Guo D J. Nonlinear Functional Analysis. Jinan: Shandong Technical Publishers, 2001 (in Chinese).

同被引文献11

  • 1刘兰初,刘光辉.测度链上具有正负系数的中立型动力方程的有界解[J].江西师范大学学报（自然科学版）,2006,30(4):336-338. 被引量：3
  • 2Hao J C, Xiao T J. Existence results for time scale boundary value problem[J]. Comp Appl Math, 2006, 197:156-168.
  • 3Pang Yuanyuan, Bai Zhangbing. Upper and lower solution method for a fourth-order four-point boundary value problem on time scales[J]. Appl Math Comp, 2009, 215: 2243-2247.
  • 4Ma Dexiang, Yang Xiaozhong. Upper and lower solution method for fourth-order four-point bound- ary value problem[J]. Comp Appl Math, 2009, 223: 543-551.
  • 5Chen Shihua, Ni Wei, Wang Changping. Positive solution of fourth order ordinary differential equation with four point boundary value problem[J]. Appl Math Lett, 2006, 19: 161-168.
  • 6S. Hilger. Analysis on Measure Chains A Unified Ap- proach to Continuous and Discrete Calculus[J]. Results in Matematics 1990,18: 18-56.
  • 7S. H. Saker. Oscillation of Second order Nonlinear Neu- tral Delay Dynamic Equations on Time Scales [J]. Jour- nal of Computational and Applied Matematics, 2005, 39 (3) : 377-396.
  • 8E. Akin Bohner,J. Hoffacker. Oscillation Properties of an Emden Fower Type Equations on Discrete Time Scales[J]. Diff. Eqns. Appl. , 2003,9 : 603 - 612.
  • 9M. Bohner, J. E. Castillo. Mimetic Methods on Meas- ure Chadynamic ins[J]. Comput. Math. Appl., 2001, 42: 705-710.
  • 10R. P. Agarwal, M. Bohner, S. H. Saker. Oscillation of Second Order Delay Dynamic Equations[M]. Canad. Ap pl. Math. Quart, Accepted for Publication, 2001 : 193 - 199.

引证文献3

二级引证文献1

应用数学学报
2008年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部