Wei, Zhongli Existence of solutions of Sturm-Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces. (English) Zbl 0905.34019 Appl. Math., Ser. B (Engl. Ed.) 13, No. 2, 141-149 (1998). Summary: A fixed point theorem is applied to investigate the existence of solutions to Sturm-Liouville boundary value problems for nonlinear second-order impulsive differential equations in Banach spaces. Cited in 2 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 34A37 Ordinary differential equations with impulses 34G20 Nonlinear differential equations in abstract spaces Keywords:existence; solutions; Sturm-Liouville boundary value problems; nonlinear second-order impulsive differential equations PDFBibTeX XMLCite \textit{Z. Wei}, Appl. Math., Ser. B (Engl. Ed.) 13, No. 2, 141--149 (1998; Zbl 0905.34019) Full Text: DOI References: [1] Guo Dajun, Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces, J.Math. Anal. Appl., 181, 2(1994),407–421. · Zbl 0807.34076 · doi:10.1006/jmaa.1994.1031 [2] Guo Dajun, Sun Jingxian, Nonlinear Integral Equations, Shandong Science and Technology Press, Jinan, 1986 (in Chinese). · Zbl 0596.45010 [3] Lakshmikantham, V., Bainov, D.D. and Simeonov, P.S., Theory of Impulsive Differential Equations. World Scientific, Singapore, 1989. · Zbl 0719.34002 [4] Lakshmikantham, V. and Leela, S.. Nonlinear Differential Equations in Abstract spaces, Pergamon, Oxford, 1981. · Zbl 0456.34002 [5] You Binli, A Supplement to Ordinary Differential Equations, Higher Education Press, Beijin, 1981 (in Chinese). 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.