[1] | Zhai C. Positive solutions for semi-positone three-point boundary value problems[J].Journal of Computational and Applied Mathematics,2009,228(1):279-286.
|
[2] | Zhang H, Sun J.Existence of positive solution to singular systems of second-order four-point BVPs[J].Journal of Applied Mathematics and Computation,2009,29(1/2):325-339.
|
[3] | Zhang G W, Sun J X.A generalization of the cone expansion and compression fixed point theorem and applications[J].Nonlinear Analysis:Theory,Method & Applications,2007,67(2):579-586.(上接第287页)
|
[4] | 蔡美峰,王鹏,赵奎,等.基于遗传算法的岩体结构面的模糊C均值聚类方法[J].岩石力学与工程学报,2005,24(3):371-376.(Cai Mei-feng,Wang Peng,Zhao Kui,et al.Fuzzy C-means cluster analysis based genetic algorithm for automatic identification of joint sets[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(3):371-376.)
|
[5] | 卢波,丁秀丽,邬爱清.岩体随机不连续面产状数据划分方法研究[J].岩石力学与工程学报,2007,26(9):1809-1816.(Lu Bo,Ding Xiu-li,Wu Ai-qing.Study on method of orientation data partitioning of randomly distributed discontinuities of rocks[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(9):1809-1816.)
|
[6] | Bezdek J C,Ehrlich R,Full W.FCM:the fuzzy C-means clustering algorithm[J].Computers & Geosciences,1984,10(2):191-203.
|
[7] | Yang X S.Nature-inspired metaheuristic algorithms[M].Beckington:Luniver Press,2008:79-90.
|
[8] | 刘长平,叶春明.一种新颖的仿生群智能优化算法:萤火虫算法[J].计算机应用研究,2011,28(9):3295-3297.(Liu Chang-ping,Ye Chun-ming.Novel bioinspired swarm intelligence optimization algorithm:firefly algorithm[J].Application Research of Computers,2011,28(9):3295-3297.)
|
[9] | Yang X S.Stochastic algorithms:foundations and applications[M].Berlin:Springer-Heidelberg,2009:169-178.
|
[10] | Yang X S.Firefly algorithm,stochastic test functions and design optimisation[J].International Journal of Bio-Inspired Computation,2010,2(2):78-84.
|
[11] | Horng M H.Vector quantization using the firefly algorithm for image compression[J].Expert Systems with Applications,2012,39(1):1078-1091.
|
[12] | Xu L M,Chen J P,Wang Q,et al.Fuzzy C-means cluster analysis based on mutative scale chaos optimization algorithm for the grouping of discontinuity sets[J].Rock Mechanics and Rock Engineering,2013,46(1):189-198.
|
[13] | 郭大钧.非线性泛函分析[M].2版.济南:山东科学技术出版社,2001.(Guo Da-jun.Nonlinear functional analysis [M].2nd ed.Jinan:Shandong Science and Technology Press,2001.)
|
[14] | Precup R. A vector version of Krasnoselskii fixed point theorem in cones and positive periodic solutions of nonlinear systems[J].Journal of Fixed Point Theory and Applications, 2007,2(1):141-151.
|
[15] | Avery R,Henderson J,O’Regan D.Four functionals fixed point theorem[J].Mathematical and Computer Modelling,2008,48(7/8):1081-1089.
|
[16] | Anderson D R,Zhai C.Positive solutions to semi-positone second-order three-point problems on time scales[J].Applied Mathematics and Computation,2010,215(10):3713-3720.
|
[17] | Cabada A, Cid J A.Existence of a non-zero fixed point for nondecreasing operators via Krasnoselskii’s fixed point theorem[J].Nonlinear Analysis:Theory,Method & Applications,2009,71(5/6):2114-2118.
|
[18] | 费祥历,王峰,陈云.关于一个新泛函的锥拉伸与压缩不动点定理及应用[J].纯粹数学与应用数学,2010,26(4):547-553. (Fei Xiang-li,Wang Feng,Chen Yun.A cone expansion and compression fixed point theorem about a new functional and its applications[J].Pure and Applied Mathematics,2010,26(4): 547-553.)
|
[19] | Han W,Jin Z,Kang S.Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales[J].Journal of Computational and Applied Mathematics,2009,233(2):188-196.
|
[20] | Sun D D, Zhang G W.Computing the topological degree via semi-concave functionals[J].Topological Methods in Nonlinear Analysis,2012,39(1):107-117.
|
[21] | Wong J S W.Existence of positive solutions for second order multi-point boundary value problems[J].Differential Equations & Applications,2012,4(2):197-219.
|
[22] | Wang F,Zhang F,Yu Y.Existence of positive solutions of Neumann boundary value problem via a convex functional compression-expansion fixed point theorem[J].Fixed Point Theory,2010,11(2):395-400.
|