LU Yan-qiong, GAO Cheng-hua. Existence of positive solutions of second-order discrete Neumann boundary value problems with variable coefficients[J]. Journal of East China Normal University(Natural Sc, 2011, 2011(5): 66-72,102.
{1}SUN J P, LI W T. Multiple positive solutions to second-order Neumann boundary value problems[J]. Applied Mathematics and Computation, 2003, 146: 187-194.{2}LI Z L. Existence of positive solutions of superlinear second-order Neumann boundary value problem[J]. Nonlinear Analysis, 2010, 72: 3216-3221.{3}AGARWAL R P, REGAN D O. Boundary value problems for discrete equations[J]. Appl Math Lett, 1997, 10 (4): 83-89.{4}AGARWAL R P, REGAN D O. A fixed-point approach for nonlinear discrete boundary value problems[J]. Computers Math. Applic., 1998, 36: 115-121.{5}ATICI F M, GUSEINOV G Sh. Positive periodic solutions for nonlinear difference equations with periodic coefficients[J]. Journal of Mathematical Analysis and Applications, 1999, 232: 168-182.{6}ATICI F M, CABADA A. Existence and uniqueness results for discrete second order periodic boundary value problem[J]. J Appl Math Comput., 2003, 45: 1417-1427.{7}LI W T, SUN J P. Existence of positive solutions of BVPs for third-order discrete nonlinear difference systems[J]. Applied Mathematics and Computation, 2004, 157: 53-64.{8}SUN J P. Positive solution for first-order discrete periodic boundary value problem[J]. Applied Mathematics Letters, 2006, 19: 1244-1248.{9}BAI D Y, XU Y T. Nontivial solutions of boundary value problems of second-order difference equations[J]. J. Math Anal Appl, 2007, 326: 297-302.{10}MA R Y, MA H L. Positive solutions for nonlinear discrete periodic boundary value problems[J]. Computers and Mathematics with Applications[J]. Computers and Mathematics with Applications, 2010, 59: 136-141.{11}SUN J P. Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation[J]. Nonlinear Analysis, 2006, 64: 629-636.{12}GUO J D, SUN J X. Nonlinear Integral Equations [M]. Jinan: Shandong Science and Technology Press, 1987 (in Chinese).{13}KELLY W G, PETERSON A C. Difference equations: An Introduction with Applications[M]. Academic Press, New York, 1991.{14}郭大钧. 非线性泛函分析[M]. 济南: 山东科学技术出版社, 1985.\\GUO D J. Non-linear Funtional Analysis [M]. Jinan: Shandong Science and Technology Press, 1985.{15}马如云. 非线性常微分方程非局部问题[M]. 北京: 科学出版社, 2004.\\MA R Y. Local Problems of Non-linear ODEs [M]. Beijing: Science Press, 2004.
中国综合性科技类核心期刊(北大核心)