Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the following nonlinear second-order nonautonomous problem: u ̈ ( t ) + q ( t ) u ̇ ( t ) - ∇ K ( t , u ( t ) ) + ∇ W ( t , u ( t ) ) = 0 , where t ∈ R , u ∈ R N , and K , W ∈ C 1 ( R × R N , R ) are not periodic in t and q : R → R is a continuous function and Q ( t ) = ∫ 0 t q ( s ) d s with lim | t | → + ∞ Q ( t ) = + ∞ .
The existence and multiplicity of fast homoclinic solutions are established by using Mountain Pass Theorem and Symmetric Mountain Pass Theorem in critical point theory.
American Psychological Association (APA)
Zhang, Qiongfen& Li, Yuan. 2015. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068282
Modern Language Association (MLA)
Zhang, Qiongfen& Li, Yuan. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space. Journal of Function Spaces No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1068282
American Medical Association (AMA)
Zhang, Qiongfen& Li, Yuan. Existence and Multiplicity of Fast Homoclinic Solutions for a Class of Nonlinear Second-Order Nonautonomous Systems in a Weighted Sobolev Space. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1068282
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068282