A Generalized Nonlinear Sum-Difference Inequality of Product Form
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We establish a generalized nonlinear discrete inequality of product form, which includes both nonconstant terms outside the sums and composite functions of nonlinear function and unknown function without assumption of monotonicity.
Upper bound estimations of unknown functions are given by technique of change of variable, amplification method, difference and summation, inverse function, and the dialectical relationship between constants and variables.
Using our result we can solve both the discrete inequality in Pachpatte (1995).
Our result can be used as tools in the study of difference equations of product form.
American Psychological Association (APA)
Qin, YongZhou& Wang, Wu-Sheng. 2013. A Generalized Nonlinear Sum-Difference Inequality of Product Form. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-457114
Modern Language Association (MLA)
Qin, YongZhou& Wang, Wu-Sheng. A Generalized Nonlinear Sum-Difference Inequality of Product Form. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-457114
American Medical Association (AMA)
Qin, YongZhou& Wang, Wu-Sheng. A Generalized Nonlinear Sum-Difference Inequality of Product Form. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-457114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457114