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

Volume 3, Issue 1, pp 32-38 http://dx.doi.org/10.22436/jnsa.003.01.04

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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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Keywords

• Time scales
• p-Laplacian operator
• Positive solution
• Cone.

MSC

•  34B15
•  34B18

References

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