Geodesic
EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR A $p$-LAPLACIAN BOUNDARY VALUE PROBLEM ON TIME SCALES
PANG , YUANYUAN 1 ; BAI, ZHANBING1
1 College of Information Science and Engineering, Shandong University of Science and Technology, Qing Dao, 266510, P. R. China
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 1, p. 32-38.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.003.01.04
Classification : 34B15, 34B18
Keywords: Time scales, p-Laplacian operator, Positive solution, Cone.

PANG , YUANYUAN  1 ; BAI, ZHANBING 1

1 College of Information Science and Engineering, Shandong University of Science and Technology, Qing Dao, 266510, P. R. China 
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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 its applications, Tome 3 (2010) no. 1, p. 32-38. doi : 10.22436/jnsa.003.01.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.01.04/

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