[1]徐佳宁,龚学,吴凡,等.一类二阶q-对称差分方程两点边值问题解的存在性[J].延边大学学报(自然科学版),2015,41(03):189-195.
 XU Jianing,GONG Xue,WU Fan,et al.Existence of solutions for a class of q -symmetric difference equation two points boundary value problem[J].Journal of Yanbian University,2015,41(03):189-195.
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一类二阶q-对称差分方程两点边值问题解的存在性

参考文献/References:

[1] El-Shabed M, Hassan H A. Positive solutions of q-difference equation[J]. Proc Amer Math Soc, 2010,138:1733-1738.
[2] Yang Wengui. Anti-periodic boundary value problems involving nonlinear fractional q-difference equations[J]. Malaya Journal of Matematik, 2013,4(1):107-114.
[3] Jackson F H. On q-funtions and a certain difference operator[J]. Trans Roy Soc Edin, 1908,46:253-281.
[4] Jackson F H. On q-definite integrals[J]. Quart J Pure and Appl Math, 1910,41:193-203.
[5] Strominger A. Information in black hole radiation[J]. Phys Rer Lett, 1993,71:3743-3746.
[6] Youm D. q-Deformed conformal quantum mechanics[J]. Phys Rev D, 2000,62:095009.
[7] Lavagno A, Swamy N P. q-Deformed structures and nonextensive statistics: a comparative study[J]. Physica A: Statistical Mechanics & Its Applications, 2002,305(1):310-315.
[8] Boole G. Calculus of Finite Differences[M]. New York: Chelsea Publishing Company, 1957.
[9] Ernst T. The different tongues of q-calculus[J]. Proc Est Acad Sci, 2008,57(2):8199.
[10] Kac V, Cheung P. Quantum Calculus[M]. New York: Springer, 2002.
[11] Koekock R, Lesky P A, Swarttouw R F. Hypergeometric Orthogonal Polynomials and Their q-Analogues[M]. Berlin: Springer Monographs in Mathematics, 2010.
[12] Smart D R. Fixed Point Theorems[M]. Cambridage: Cambridage University Press, 1980.

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备注/Memo

收稿日期: 2015-06-07*通信作者: 侯成敏(1963—),女,教授,研究方向为微分方程与离散动力系统.

更新日期/Last Update: 2015-07-30