DocumentCode
3041234
Title
Uniqueness of a nontrivial solution for third-order nonlinear p-Laplacian m-point eigenvalue problems on time scales
Author
Jin, Yan ; Zhang, Zhongjun ; Yang, Jun
Author_Institution
Coll. of Sci., Yanshan Univ., Qinhuangdao, China
fYear
2011
fDate
26-28 July 2011
Firstpage
2785
Lastpage
2788
Abstract
In this paper, we study the uniqueness of a nontrivial solution for third-order nonlinear p-Laplacian m-point eigen-value problems on time scales. We obtain several sufficient conditions of the uniqueness of nontrivial solution. Our approach is based on the Leray-Schauder nonlinear alternative. A example to demonstrate our main result is also given.
Keywords
Laplace equations; eigenvalues and eigenfunctions; Leray-Schauder nonlinear alternative; nontrivial solution; third-order nonlinear p-Laplacian m-point eigenvalue problems; time scales; Boundary value problems; Computers; Educational institutions; Eigenvalues and eigenfunctions; Equations; Mathematical model; Eigenvalue problem; Impulsive dynamic equation; Leray-Schauder nonlinear alternative; Nontrivial solutions; Time scales;
fLanguage
English
Publisher
ieee
Conference_Titel
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location
Hangzhou
Print_ISBN
978-1-61284-771-9
Type
conf
DOI
10.1109/ICMT.2011.6002626
Filename
6002626
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