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2014 Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables
Yusong Lu, Wu-Sheng Wang, Xiaoliang Zhou, Yong Huang
J. Appl. Math. 2014: 1-14 (2014). DOI: 10.1155/2014/359280


We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function w in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions w1,w2. By adopting novel analysis techniques, such as change of variable, amplification method, differential and integration, inverse function, and the dialectical relationship between constants and variables, the upper bounds of the embedded unknown functions are estimated. The derived results can be applied in the study of solutions of ordinary differential equations and integral equations.


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Yusong Lu. Wu-Sheng Wang. Xiaoliang Zhou. Yong Huang. "Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables." J. Appl. Math. 2014 1 - 14, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131548
MathSciNet: MR3200840
Digital Object Identifier: 10.1155/2014/359280

Rights: Copyright © 2014 Hindawi


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