A Class of Nonlinear Singular Difference Inequality in Engineering

A Class of Nonlinear Singular Difference Inequality in Engineering

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

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied Mechanics and Materials 2014-07, Vol.577 (Applied Decisions in Area of Mechanical Engineering and Industrial Manufacturing), p.824-827
Hauptverfasser: Wang, Wu Sheng, Hou, Zong Yi
Format: Artikel
Sprache:eng
Schlagworte:
Amplification
Difference equations
Gamma function
Inequalities
Integrals
Mathematical analysis
Nonlinearity
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we discuss a class of new nonlinear weakly singular difference inequality. Using change of variable, discrete Jensen inequality, amplification method, the mean-value theorem for integrals and Gamma function, explicit bounds for the unknown functions in the inequality is given clearly. The derived results can be applied in the study of fractional difference equations in Engineering.
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.577.824