Existence of positive solutions of nonlinear -point BVP for an increasing homeomorphism and positive homomorphism on time scales |
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Authors: | Wei Han Zhen Jin Shugui Kang |
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Institution: | aDepartment of Mathematics, North University of China, Taiyuan Shanxi, 030051, PR China;bCollege of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, PR China |
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Abstract: | In this paper, we will consider the following multipoint boundary value problem for the following second-order dynamic equations on time scales where :RR is an increasing homeomorphism and positive homomorphism and (0)=0. By using fixed point theorems, we obtain an existence theorem of positive solutions for the above boundary value problem, which includes and improve some related results in the relevant literature. As an application, an example to demonstrate our results is given. |
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Keywords: | Time scale Positive solutions Boundary value problem Fixed point theorems Increasing homeomorphism and positive homomorphism |
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