A Multiple Iterated Integral Inequality and Applications
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities.
Nonlinear Anal.
69 (2008) 393–407] is changed into the composite functions w1(u(s)),w2(u(s)),…, wn (u(s)) of the unknown function u with different nonlinear functions w1,w2,…,wn, respectively.
By adopting novel analysis techniques, the upper bounds of the embedded unknown functions are estimated explicitly.
The derived results can be applied in the study of solutions of ordinary differential equations and integral equations.
American Psychological Association (APA)
Hou, Zongyi& Wang, Wu-Sheng. 2014. A Multiple Iterated Integral Inequality and Applications. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-463882
Modern Language Association (MLA)
Hou, Zongyi& Wang, Wu-Sheng. A Multiple Iterated Integral Inequality and Applications. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-463882
American Medical Association (AMA)
Hou, Zongyi& Wang, Wu-Sheng. A Multiple Iterated Integral Inequality and Applications. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-463882
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463882