[1]孙明哲,侯成敏.一类带有参数的q -差分方程边值问题正解的存在性[J].延边大学学报(自然科学版),2015,41(02):124-128.
 SUN Mingzhe,HOU Chengmin.Existence of positive solutions of q -differences equations with parameter[J].Journal of Yanbian University,2015,41(02):124-128.
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一类带有参数的q -差分方程边值问题正解的存在性

参考文献/References:

[1] Jackson F H. q -difference equations Amer[J]. J Math, 1910,32(4):305-314.
[2] Al-Salam W A. Some fractional q -integrals and q -derivatives[J]. Proc Edinb Math Soc, 1966,15(2):135-140.
[3] Yang W. Positive solutions for boundary value problems involving nonlinear frational q -difference equations[J]. Differ Equ Appl, 2013,5:205-219.
[4] Zhang Q. Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional q -derivative[J]. Bound Value Probl, 2013,2013(1):1-16.
[5] Agarwal R P, Ahmad B, Alsaedi A, et al. On nonlinear fractional q -difference equations involving two fractional orders with three-point nonlocal boundary conditions[J]. Dyn Contin Discrete Impuls Syst Ser A Math Anal, 2014,21:135-151.
[6] EL-Shahed M. Nontrivial solutions for fractional q -difference boundary value problems[J]. Electron J Qual Theory Differ Equ, 2010,70(10):1-10.
[7] 孙明哲,侯成敏.一类反周期分数阶q-差分边值问题解的存在性[J].吉林大学学报:理学版,2014,52(6):1215-1218.
[8] Li Xinhui, Han Zhenlai, Sun Shurong. Existence of positive solutions of nonlinear fractional q -difference equation with parameter[J]. Advances in Difference Equations August, 2013,2013(1):1-13.
[9] Guo D, Sun J. Calculation and application of toplogical degree[J]. Journal of Mathmatical Research and Exposition, 1988,8(3):469-480.

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备注/Memo

收稿日期: 2015-02-20 作者简介: 孙明哲(1979—),女,讲师,研究方向为微分方程理论及其应用.基金项目: 吉林省教育厅“十二五”科学技术研究项目(吉教科合字[2014]第20号); 国家自然科学基金资助项目(11161049)

更新日期/Last Update: 2015-05-30