Existence of positive solutions for singular impulsive differential equations with integral boundary conditions |
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| Authors: | Chunmei Miao Weigao Ge |
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| Institution: | 1. School of Science, Changchun University, Changchun 130022, China;2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | In this paper, we study the existence of positive solutions for singular impulsive differential equations with integral boundary conditions ![urn:x-wiley:1704214:media:mma3135:mma3135-math-0001]( "urn:x-wiley:1704214:media:mma3135:mma3135-math-0001") where the nonlinearity f(t,u,v) may be singular at u = 0 and v = 0. The proof is based on the theory of Leray–Schauder degree, together with a truncation technique. Some recent results in the literature are generalized and improved. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | singular impulsive differential equations integral boundary conditions positive solutions Leray– Schauder degree |
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