Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-26, 26 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-06-24
Country of Publication
Egypt
No. of Pages
26
Main Subjects
Abstract EN
We consider the existence and multiplicity of solutions to discrete conjugate boundary value problems.
A generalized asymptotically linear condition on the nonlinearity is proposed, which includes the asymptotically linear as a special case.
By classifying the linear systems, we define index functions and obtain some properties and the concrete computation formulae of index functions.
Then, some new conditions on the existence and multiplicity of solutions are obtained by combining some nonlinear analysis methods, such as Leray-Schauder principle and Morse theory.
Our results are new even for the case of asymptotically linear.
American Psychological Association (APA)
Zheng, Bo. 2010. Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-466114
Modern Language Association (MLA)
Zheng, Bo. Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-26.
https://search.emarefa.net/detail/BIM-466114
American Medical Association (AMA)
Zheng, Bo. Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-26.
https://search.emarefa.net/detail/BIM-466114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466114