Some new Gronwall-Bellman type nonlinear dynamic inequalities containing integration on infinite intervals on time scales

DOI10.1186/1029-242X-2012-201zbMath1279.26070WikidataQ59291015 ScholiaQ59291015MaRDI QIDQ386782

Bin Zheng, Qinghua Feng, Yao-Ming Zhang, Fan Wei Meng

Publication date: 10 December 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

time scalesdynamic equationboundedGronwall-Bellman type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Real analysis on time scales or measure chains (26E70)

Related Items (5)

Some new generalized Gronwall-Bellman type discrete fractional inequalities ⋮ Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications ⋮ Nonlinear integral inequalities on time scales with `maxima' ⋮ New Gronwall-Bellman type inequalities and applications in the analysis for solutions to fractional differential equations ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales

Cites Work

• Gronwall-Bellman type nonlinear delay integral inequalities on time scales
• The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales
• Oscillation for nonlinear second order dynamic equations on a time scale
• Some delay integral inequalities on time scales
• Some Iyengar-type inequalities on time scales for functions whose second derivatives are bounded
• Generalized retarded integral inequalities
• Some mean value theorems for integrals on time scales
• Inequalities applicable in the theory of finite difference equations
• On some new integral inequalities and their applications.
• On some new inequalities related to a certain inequality arising in the theory of differential equations
• Generalization of a retarded Gronwall-like inequality and its applications
• Explicit bounds on some new nonlinear integral inequalities with delay
• Some new dynamic inequalities on time scales
• The stability of solutions of linear differential equations
• Improvement of some Ostrowski-Grüss type inequalities
• Explicit bounds on certain integral inequalities

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