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Solutions for higher-order dynamic equations on time scales |
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| Authors: | Hua Su Mingchuan Zhang |
| Affiliation: | aDepartment of Mathematics, Ocean University of China, Qingdao Shandong 266071, China bDepartment of Mathematics and Physics, Shandong Jianzhu University, Jinan Shandong 250014, China |
| Abstract: | Let T be a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic equations on time scales. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem with p-Laplacian operator are obtained. |
| Keywords: | Time scale Higher-order p-Laplacian dynamic equations Four-point singular boundary value problem Positive solutions Fixed-point index theory |
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