Hu, Ling; Wang, Lianglong Multiple positive solutions of boundary value problems for systems of nonlinear second-order differential equations. (English) Zbl 1127.34010 J. Math. Anal. Appl. 335, No. 2, 1052-1060 (2007). Results on the existence and multiplicity of positive solutions to a class of boundary value problems for systems of second order differential equations are given by using fixed point theorems. Reviewer: Ti-Jun Xiao (Hefei) Cited in 15 Documents MSC: 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations Keywords:boundary value problem; positive solution; existence; multiplicity; fixed point theorem PDF BibTeX XML Cite \textit{L. Hu} and \textit{L. Wang}, J. Math. Anal. Appl. 335, No. 2, 1052--1060 (2007; Zbl 1127.34010) Full Text: DOI References: [1] Guo, D. J.; Lakshmikantham, L., Nonlinear Problems in Abstract Cones (1988), Academic Press: Academic Press New York · Zbl 0661.47045 [2] Deimling, K., Nonlinear Functional Analysis (1985), Springer-Verlag: Springer-Verlag Berlin · Zbl 0559.47040 [3] Erbe, L. H.; Wang, H. Y., On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc., 120, 743-748 (1994) · Zbl 0802.34018 [4] Cheng, L. W.; Wong, Fu Hsiang; Yeh, Cheh Chih, On the existence of positive solutions of nonlinear second order differential equations, Proc. Amer. Math. Soc., 124, 4, 1117-1126 (1996) · Zbl 0857.34036 [5] Krasnosel’skii, M. A., Positive Solutions of Operator Equations (1964), Noordhoff: Noordhoff Groningen · Zbl 0121.10604 [6] Eloe, P. W.; Henderson, J., Positive solutions for higher order ordinary differential equations, Electron. J. Differential Equations, 3, 1-8 (1995) [7] Ma, R. Y., Multiple nonnegative solutions of second-order systems of boundary value problems, Nonlinear Anal., 42, 1003-1010 (2000) · Zbl 0973.34014 [8] Liu, X. Y.; Sun, J. X., Calculation of the topological degree and its application to system of superlinear equations, J. Systems Sci. Math. Sci., 16, 51-59 (1996), (in Chinese) [9] Yang, Z. L.; Sun, J. X., Positive solutions of boundary value problems for systems of nonlinear second order ordinary differential equations, Acta Math. Sinica, 47, 1, 111-118 (2004), (in Chinese) · Zbl 1158.34317 [10] Zhang, Z. T., Existence of non-trivial solution for superlinear system of integral equations and its applications, Acta Math. Sinica, 15, 153-162 (1999), (in Chinese) · Zbl 0941.45002 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.