Gronwall-Bellman-type integral inequalities and applications to BVPs

DOI10.1155/2009/258569zbMath1176.35007OpenAlexW2084769284WikidataQ59219318 ScholiaQ59219318MaRDI QIDQ1035474

Wing-Sum Cheung, Chur-Jen Chen, Dan-Dan Zhao

Publication date: 3 November 2009

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

Full work available at URL: https://eudml.org/doc/117787

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Inequalities for sums, series and integrals (26D15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (14)

Nonlinear Gronwall-Bellman type inequalities and their applications ⋮ Some new nonlinear retarded sum-difference inequalities with applications ⋮ A generalized nonlinear sums-difference inequality and its applications ⋮ Nonlinear retarded integral inequalities with two variables and applications ⋮ Some new difference inequalities and an application to discrete-time control systems ⋮ A new nonlinear retarded integral inequality and its application ⋮ On some new Gronwall-Bellman-Ou-Iang type integral inequalities to study certain epidemic models ⋮ On retarded integral inequalities for dynamic systems on time scales ⋮ Some new nonlinear Gronwall-Bellman-type integral inequalities and applications to BVPs ⋮ Bounds of solutions of integrodifferential equations ⋮ A class of stochastic Gronwall's inequality and its application ⋮ A stochastic Gronwall inequality in random time horizon and its application to BSDE ⋮ Some generalized Gronwall-Bellman type difference inequalities and applications ⋮ Extensions of Gronwall-Bellman type integral inequalities with two independent variables

Cites Work

• The second law of thermodynamics and stability
• Nonlinear evolution equations - global behavior of solutions
• Inequalities for differential and integral equations
• On some new integrodifferential inequalities of the Gronwall and Wendroff type
• On some new nonlinear delay integral inequalities
• A retarded Gronwall-like inequality and its applications
• On some new inequalities related to certain inequalities in the theory of differential equations
• Some new Gronwall-Bellman-Bihari type integral inequalities with delay
• Discrete non-linear inequalities and applications to boundary value problems
• Some new nonlinear inequalities and applications to boundary value problems
• The stability of solutions of linear differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Some Discrete Nonlinear Inequalities and Applications to Boundary Value Problems for Difference Equations
• Analytic Inequalities
• Explicit bounds on certain integral inequalities
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