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Three Homoclinic Solutions for Second-Order -Laplacian Differential System
Author(s) -
Jia Guo,
Binxiang Dai
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/183585
Subject(s) - homoclinic orbit , mathematics , order (exchange) , laplace operator , differential (mechanical device) , p laplacian , mathematical analysis , pure mathematics , bifurcation , nonlinear system , physics , finance , quantum mechanics , engineering , economics , boundary value problem , aerospace engineering
We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this-Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result

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