EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A \(p\)-LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES


Authors

YUANYUAN PANG - College of Information Science and Engineering, Shandong University of Science and Technology, Qing Dao, 266510, P. R. China. ZHANBING BAI - College of Information Science and Engineering, Shandong University of Science and Technology, Qing Dao, 266510, P. R. China.


Abstract

In this paper, we study the solvability of one-dimensional fourth- order \(p\)-Laplacian boundary value problems on time scales. By using Krasnosel'skii's fixed point theorem of cone expansion-compression type, some existence and multiplicity results of positive solution have been required according to different growth condition of nonlinear form f at zero and at infinity.


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