Monotone positive solutions of second-order nonlinear differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Monotone positive solutions of second-order nonlinear differential equations

Institution:	1. Department of Mathematics, Zhongshan University, 510275 Guangzhou, China;2. Department of Mathematics, Lund University, P.O. Box 118, S-221 00 Lund, Sweden;1. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria;2. School of Mathematics, Statistics and Physics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom;1. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6, P.O. Box 1-764, RO-014700, Bucharest, Romania;2. Erwin Schrödinger International Institute for Mathematics and Physics (ESI), University of Vienna, Boltzmanngasse 9, 1090 Vienna, Austria;3. School of Mathematics and Statistics, Technological University Dublin, Grangegorman Lower, Dublin D07 ADY7, Ireland

Abstract:	We obtain an existence theorem for monotone positive solutions of nonlinear second-order ordinary differential equations by using the Schauder–Tikhonov fixed point theorem. The result can also be applied to prove the existence of positive solutions of certain semilinear elliptic equations in $R^{n} (n⩾3)$ .

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