A Class of Singular Volterra-Fredholm Type Difference Inequality in Engineering

Wu Sheng Wang; Chun Miao Huang

doi:10.4028/www.scientific.net/AMM.571-572.132

Paper Titles

Research on Design and Construction Method of Bent Functions
p.114

A Novelty Model for Reliability Assessment of Complex System
p.118

A Multi-Attribute Decision-Making Method Based on SPAOWA Operator
p.124

The Forecasting Research of Beijing Tourism Demand Based on the BP Neural Network
p.128

A Class of Singular Volterra-Fredholm Type Difference Inequality in Engineering
p.132

A Class of Volterra-Fredholm Difference Inequality with Weakly Singularity in Engineering
p.139

Application Research of the Polynomial Fitting Model in Transformation of Plane Rectangular Coordinate
p.143

Identification and Optimization of Soil Water Movement Model Based on GA under Drip-Irrigation
p.148

Regression Analysis of Lower Extremity Injury Influencing Factors under Frontal Crash
p.152

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 571-572A Class of Singular Volterra-Fredholm Type...

A Class of Singular Volterra-Fredholm Type Difference Inequality in Engineering

Abstract:

In this paper, we discuss a class of new weakly singular Volterra-Fredholm difference inequality, which is solved using change of variable, discrete Jensen inequality, Beta function, the mean-value theorem for integrals and amplification method, and explicit bounds for the unknown functions is given clearly. The derived results can be applied in the study of fractional difference equations in engineering.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 571-572)

Pages:

132-138

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.571-572.132

Citation:

Cite this paper

Online since:

June 2014

Authors:

Wu Sheng Wang*, Chun Miao Huang

Keywords:

Analysis Technique, Difference Inequality, Estimation, Singular Kernel

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

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

Google Scholar

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

Google Scholar

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

Google Scholar

[7] E. H. Yang, Q. H. Ma and M. C. Tan: J. Jinan Univ. Vol. 28(1) (2007), p.1.

Google Scholar

[8] 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

[9] K. Zheng, H. Wang and C. Guo: Advances in Difference Equations Vol. 2013 (2013), Article (239).

Google Scholar