Estimation on Unknown Function of a Class of Generalized Nonlinear Volterra-Fredholm Type Difference Inequality

Article Preview

Abstract:

The main objective of this paper is to establish a class of new nonlinear Volterra-Fredholm type difference inequality. Upper bound estimations of unknown functions are given by technique of change of variable, amplification method, difference and summation and inverse function. The derived results can be applied in the study of solutions of Volterra-Fredholm type difference equations.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 889-890)

Pages:

571-574

Citation:

Online since:

February 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] T.H. Gronwall: Ann Math. Vol. 20(1919), p.292.

Google Scholar

[2] R. Bellman: Duke Math. J. Vol. 10 (1943), p.643.

Google Scholar

[3] R. P. Agarwal, S. Deng, W. Zhang: Appl. Math. Comput. Vol. 165 (2005), p.599.

Google Scholar

[4] Q.H. Ma, J. Pecaric: Nonlinear Anal. Vol 69 (2008), p.393.

Google Scholar

[5] A. Abdeldaim, M. Yakout: Appl. Math. Comput. Vol. 217(2011), p.7887.

Google Scholar

[6] B.G. Pachpatte: J. Math. Anal. Appl. Vol. 189(1995), p.128.

Google Scholar

[7] F.W. Meng, W.N. Li: Appl. Math. Vol. 158 (2003), p.407.

Google Scholar

[8] W.S. Cheung, J. Ren: J. Math. Anal. Appl. Vol. 319(2006), p.708.

Google Scholar

[9] Q.H. Ma, W.S. Cheung: J. Comput. Appl. Math. Vol. 202 (2007), p.339.

Google Scholar