On some new nonlinear discrete inequalities and their applications

DOI10.1016/J.CAM.2006.10.024zbMath1128.26015OpenAlexW4231651179MaRDI QIDQ5919926

Fan Wei Meng, Dehong Ji

Publication date: 18 September 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.024

zbMATH Keywords

difference equationmonotonic sequence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Systems of functional equations and inequalities (39B72)

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Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications ⋮ Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications ⋮ Qualitative and quantitative analysis for solutions to a class of Volterra-Fredholm type difference equation ⋮ Generalized Gronwall-Bellman-type discrete inequalities and their applications ⋮ Some Volterra-Fredholm type nonlinear discrete inequalities involving four iterated infinite sums ⋮ Discrete Opial type inequalities for interval-valued functions ⋮ Some new Volterra-Fredholm-type discrete inequalities and their applications in the theory of difference equations ⋮ Some new finite difference inequalities arising in the theory of difference equations ⋮ Some new generalized Volterra-Fredholm type finite difference inequalities involving four iterated sums ⋮ Nonlinear dynamical integral inequalities in two independent variables and their applications ⋮ Some new Volterra-Fredholm-type nonlinear discrete inequalities with two variables involving iterated sums and their applications ⋮ Some generalized Gronwall-Bellman type difference inequalities and applications

Cites Work

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• On certain new finite difference inequalities
• Inequalities applicable in the theory of finite difference equations
• Some new finite difference inequalities
• On some new nonlinear discrete inequalities and their applications
• A new integral inequality with power nonlinearity and its discrete analogue

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