Some nonlinear weakly singular integral inequalities with two variables and applications

DOI10.1155/2010/345701zbMath1204.26046OpenAlexW2101933669WikidataQ59253420 ScholiaQ59253420MaRDI QIDQ623631

Hong Wang, Ke-long Zheng

Publication date: 8 February 2011

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

Full work available at URL: https://eudml.org/doc/232043

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (11)

New Explicit Bounds on Gronwall-Bellman-Bihari-Gamidov Integral Inequalities and Their Weakly Singular Analogues with Applications ⋮ Explicit bounds of unknown function of some new weakly singular retarded integral inequalities with applications ⋮ Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications ⋮ On nonlinear discrete weakly singular inequalities and applications to Volterra-type difference equations ⋮ Some weakly singular Volterra integral inequalities with maxima in two variables ⋮ Some nonlinear Gronwall-Bellman-Gamidov integral inequalities and their weakly singular analogues with applications ⋮ On weakly singular versions of discrete nonlinear inequalities and applications ⋮ Some new weakly singular integral inequalities and their applications to fractional differential equations ⋮ Some new nonlinear weakly singular inequalities and applications to Volterra-type difference equation ⋮ A nonlinear weakly singular retarded Henry-Gronwall type integral inequality and its application ⋮ A class of Volterra-Fredholm type weakly singular difference inequalities with power functions and their applications

Cites Work

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• Some new nonlinear weakly singular integral inequalities of Wendroff type with applications
• Geometric theory of semilinear parabolic equations
• Modified Gronwall's inequality and its application to stabilization problem for semilinear parabolic systems
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• Nonlinear singular integral inequalities for functions in two and \(n\) independent variables
• Integral inequalities and global solutions of semilinear evolution equations
• Integral inequalities and mild solutions of semilinear neutral evolution equations
• Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations
• Power-type estimates for a nonlinear fractional differential equation

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