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Existence of Solutions for a Nonlinear Algebraic System
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-27
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
As well known, the existence and nonexistence of solutions for nonlinear algebraic systems are very important since they can provide the necessary information on limiting behaviors of many dynamic systems, such as the discrete reaction-diffusion equations, the coupled map lattices, the compartmental systems, the strongly damped lattice systems, the complex dynamical networks, the discrete-time recurrent neural networks, and the discrete Turing models.
In this paper, both the existence of nonzero solution pairs and the nonexistence of nontrivial or nonzero solutions for a nonlinear algebraic system will be considered by using the critical point theory and Lusternik-Schnirelmann category theory.
The process of proofs on the obtained results is simple, the conditions of theorems are also easy to be verified, however, some of them improve the known ones even if the system is reduced to the precial cases, in particular, others of them are still new.
American Psychological Association (APA)
Zhang, Guang Y.& Bai, Liang. 2009. Existence of Solutions for a Nonlinear Algebraic System. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-28.
https://search.emarefa.net/detail/BIM-497884
Modern Language Association (MLA)
Zhang, Guang Y.& Bai, Liang. Existence of Solutions for a Nonlinear Algebraic System. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-28.
https://search.emarefa.net/detail/BIM-497884
American Medical Association (AMA)
Zhang, Guang Y.& Bai, Liang. Existence of Solutions for a Nonlinear Algebraic System. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-28.
https://search.emarefa.net/detail/BIM-497884
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497884