A Class of Nonlinear Difference Inequality with Weakly Singularity in Engineering

Article Preview

Abstract:

In this paper, we discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, the mean-value theorem for integrals and amplification method, Gamma function, and explicit bounds for the unknown functions is given clearly.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 945-949)

Pages:

2426-2429

Citation:

Online since:

June 2014

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 Mathematical Journal, Vol. 10(1943) , p.643.

Google Scholar

[3] S. Sugiyama: Bull. Sci. Engr. Research Lab. Waseda Univ. vol. 45(1969), p.140.

Google Scholar

[4] D. Henry: Geometric Theory of Semilinear Parabolic Equations(Springer-Verlag, Berlin/ Heidel- berg /New York, 1981).

Google Scholar

[5] M. Medved: J. Math. Anal. Appl. Vol. 214(1997) , p.349.

Google Scholar

[6] I. Podlubny: Fractional Differential Equations (Academic Press, New York, 1999).

Google Scholar

[7] M. Medved: J. Inequal. Appl. Vol. 5(2000), p.287.

Google Scholar

[8] Q.H. Ma and E. H. Yang: Acta Math Appl Sin. Vol. 25(2002) , p.505.

Google Scholar

[9] M. Medvevd: Tatra. Mt. Math. Publ. Vol. 38(2007), p.163.

Google Scholar

[10] H. Ye, J. Gao and Y. Ding: J. Math. Anal. Appl. Vol. 328(2007), p.1075.

Google Scholar

[11] M. Kuczma: An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality (University of Katowice, Katowice, 1985).

Google Scholar