On some Sum-Difference Inequalities and Applications to Boundary Value Problems

Bao Ju Sun; Ye Bao

doi:10.4028/www.scientific.net/AMR.450-451.696

Paper Titles

Mechanism of Silica Fume in Suppressing Alkali-Silica Reaction of Concrete：Interfacial Transition Zone Concerns
p.676

The Comparative Analysis of Lime Burst between Sintered Shale Brick and Light-Weight Sintered Brick
p.683

Flame Retardant of Epoxy Resin Composites
p.688

Research of Fly Ash-Epoxy Resin Composite
p.692

On some Sum-Difference Inequalities and Applications to Boundary Value Problems
p.696

Preparation and Photocatalytic Performances of TiO₂/SnO₂ Composite Films Supported on Carbon Fiber
p.701

Fiber Suitability Analysis of New Delivery Device of Friction Spinning
p.706

Degradation Kinetics of Xylose and Arabinose in Subcritical Water in Unitary and Binary System
p.710

The Structure and Properties of HDPE/EAA-Hydrotalcite Master Batch Nanocomposites
p.715

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 450-451On some Sum-Difference Inequalities and...

On some Sum-Difference Inequalities and Applications to Boundary Value Problems

Abstract:

The aim of the present paper is to establish some new sum-difference inequalities which provide explicit bounds on unknown functions. The inequalities given here can be used as tools in the qualitative theory of certain partial difference equations

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 450-451)

Pages:

696-700

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.450-451.696

Citation:

Cite this paper

Online since:

January 2012

Authors:

Bao Ju Sun, Ye Bao

Keywords:

Boundary Value Problems, Explicit Bounds, Sum-Difference Inequalities

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] R. P. Agarwal, S. Deng, and W. Zhang, (2005), Generalization of a retarded Gronwall-like inequality and its applications, Applied Mathematics and Computation, vol. 165, no. 3, 599-612.

DOI: 10.1016/j.amc.2004.04.067

Google Scholar

[2] P. Y. H. Pang and R. P. Agarwal, (1995), On an integral inequality and its discrete analogues, Journal of Mathematical Analysis and Applications, vol. 194, no. 2, 569-577.

DOI: 10.1006/jmaa.1995.1318

Google Scholar

[3] D. Bainov and P. Simeonov, Integral Inequalities and Applications, vol. 57 of Mathematics and Its Aplications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1992.

Google Scholar

[4] S. S. Dragomir and Y. H. Kim, (2003), Some integral inequalities for functions of two variables, Electronic Journal of Differential Equations, no. 10, 1-13.

Google Scholar

[5] O. Lipovan, (2000), A retarded Gronwall-like inequality and its applications, Journal of Mathematical Analysis and Applications, vol. 252, no. 2, 389-401.

DOI: 10.1006/jmaa.2000.7085

Google Scholar

[6] B. G. Pachpatte, (2001), On some fundamental integral inequalities and their discrete analogues, Journal of Inequalities in Pure and Applied mathematics, vol. 2, no. 2, article 15, 13 pages.

Google Scholar

[7] B. G. Pachpatte, (2004), On a certain retarded integral inequality and applications, Journal of Inequalities in Pure and Applied mathematics, vol. 5, no.1, article 19, 9 pages.

Google Scholar

[8] B. G. Pachpatte, (2004), On some new nonlinear retarded integral inequalities, Journal of Inequalities in Pure and Applied mathematics, vol. 5, no. 3, article 80, 8 pages.

Google Scholar

[9] B. G. Pachpatte, (2002), Integral inequalities of the Bihari type, Mathmatical Inequalities & Applications, vol. 5, no. 4, 649-657.

DOI: 10.7153/mia-05-66

Google Scholar

[10] W. S. Cheung, J. L. Ren, (2006), Discrete non-linear inequalities and applications to boundary value problems, Journal of Mathematical Analysis and Applications, vol. 319, no.1, 708-724.

DOI: 10.1016/j.jmaa.2005.06.064

Google Scholar

[11] W. S. Cheung, (2004), Some discrete nonlinear inequalities and applications to boundary value problems for difference equations, Journal of Difference Equations and Applications, vol. 10, no. 2, 213-223.

DOI: 10.1080/10236190310001604238

Google Scholar

[12] W. S. Cheung, (2006), Some new nonlinear inequalities and applications to boundary value problems, Nonlinear Analysis: Theoy Methods & Aplications, vol. 64, no. 9, 2112-2128.

DOI: 10.1016/j.na.2005.08.009

Google Scholar

[13] Sh. Salem and K. R. Ralan, (2004), Some new discrete inequalities and their applications, Journal of Inequalities in Pure and Applied mathematics, vol. 5, no. 1, article 2, 9 pages.

Google Scholar