JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (10): 91-96.doi: 10.6040/j.issn.1671-9352.0.2018.561
ZHU Xiao-lin, ZHAI Cheng-bo*
CLC Number:
[1] GE Weigao, REN Jingli. New existence theorems of positive solutions for Sturm-Liouville boundary value problems[J]. Applied Mathematics and Computation, 2006, 148(3):631-644. [2] ZHAI Chengbo, GUO Chunmei. Positive solutions for third-order Sturm-Liouville boundary-value problems with p-Laplacian[J]. Electronic Journal of Differential Equations, 2009(154):2059-2066. [3] DU Zengji, YIN Jian. A second order differential equation with generalized Sturm-Liouville integral boundary conditions at resonance[J]. Filomat, 2014(28):1437-1444. [4] MA Ruyun. Nonlinear discrete Sturm-Liouville problems at resonance[J]. Nonlinear Analysis: Theory, Methods and Applications, 2007(67):3050-3057. [5] MARONCELLI D, RODRIGUEZ J. Existence theory for nonlinear Sturm-Liouville problems with unbounded nonlinearities[J]. Differential Equations and Applications, 2014(6):455-466. [6] RODRIGUEZ J, SUAREZ A. On nonlinear perturbations of Sturm-Liouville problems in discrete and continuous settings[J]. Differential Equations and Applications, 2016,(8):319-334. [7] MARONCELLI D, RODRIGUEZ J. Existence theory for nonlinear Sturm-Liouville problems with non-local boundary conditions[J]. Differential Equations and Applications, 2018, 10(2):147-161. [8] 苏华, 刘立山. 二阶Sturm-Liouville特征值问题解的存在与非存在性[J]. 数学学报(中文版), 2014, 57(6):1241-1248. SU Hua, LIU Lishan. The existence and nonexistence of positive solutions for second-order Sturm-Liouville eigenvalue problems[J]. Act Mathematica Sinica(Chinese Series), 2014, 57(6):1241-1248. [9] 陈东晓,陈应生. 二阶微分方程积分边值问题正解的存在性[J]. 华侨大学学报(自然科学版), 2013, 34(5):586-590. CHEN Dongxiao, CHEN Yingsheng. Existence positive solutions of boundary value problems for second order differential equations with integral conditions[J]. Journal of Huaqiao University(Natural Science), 2013, 34(5):586-590. [10] 郭肖肖, 赵增勤. 非良序上下解条件下带脉冲项Sturm-Liouville边值问题的正解[J]. 系统科学与数学, 2013, 33(10):1248-1255. GUO Xiaoxiao, ZHAO Zengqin. Positive solutions of Sturm-Liouville BVP for impulsive differential equations with a non-well-ordered upper and lower solution condition[J]. Journal of Systems Science and Mathematical Sciences, 2013, 33(10):1248-1255. [11] 郭大钧. 非线性分析中的半序方法[M]. 济南: 山东科学技术出版社,2000. GUO Dajun. Partial ordered method in nonlinear analysis[M]. Jinan: Shandong Science and Technology Press, 2000. [12] DU Yihong. Fixed points of increasing operators in ordered Banach spaces and applications[J]. Applicable Analysis, 1990, 38:1-20. |
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