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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ISRP Style

YUANYUAN PANG, ZHANBING BAI, EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A \(p\)-LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 1, 32-38

AMA Style

PANG YUANYUAN, BAI ZHANBING, EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A \(p\)-LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES. J. Nonlinear Sci. Appl. (2010); 3(1):32-38

Chicago/Turabian Style

PANG , YUANYUAN, BAI, ZHANBING. "EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A \(p\)-LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES." Journal of Nonlinear Sciences and Applications, 3, no. 1 (2010): 32-38


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