**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30184

##### On a New Nonlinear Sum-difference Inequality with Application

**Authors:**
Kelong Zheng,
Shouming Zhong

**Abstract:**

**Keywords:**
Sum-Difference inequality,
Nonlinear,
Boundedness.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1329751

**References:**

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[2] W. S. Cheung, J. Ren, Discrete non-linear inequalities and applications to boundary value problems, J. Math. Anal. Appl. 319 (2006) 708-724.

[3] S. Deng, Nonlinear discrete inequalities with two variables and their applications, Appl. Math. Comput. (2010), doi:10.1016/j.amc.2010.07.022.

[4] F. C. Jiang, F. W. Meng, Explicit bounds on some new nonlinear integral inequalities with delay, J. Comput. Appl. Math. 205(2007), 479-486.

[5] Y. H. Kim, On some new integral inequalities for functions in one and two variables, Acta Math. Sinica, 2(2)(2005), 423-434.

[6] O. Lipovan, A retarded integral inequality and its applications, J. Math. Anal. Appl. 285(2003), 436-443.

[7] Q. H. Ma, W. S. Cheung, Some new nonlinear difference inequaities and their applications, Journal of Computational and Applied Mathematics 202(2007), 339-351.

[8] B. G. Pachpatte, Inequalities for Finite Difference Equations, Marcel Dekker, New York, 2002.

[9] Y. Wu, X. Li, S. Deng, Nonlinear delay discerte inequalities and their applications to Voliterra type difference equations, Advances in Difference Equations, Volumn 2010, Aritcle ID 795145, 14 pages.

[10] K. Zheng, Some retarded nonlinear integral inequalities in two variables and applications, JIPAM. J. Inequal. Pure Appl. Math. 9(2)(2008), Article 57, 11 pp.