Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall-Bellman-Pachpatte type

DOI10.1186/s13660-019-2269-2zbMath1499.26204OpenAlexW2995474817MaRDI QIDQ2068121

Ran Yan, Fan Wei Meng

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2269-2

zbMATH Keywords

ordinary differential equationHölder integral inequalitydiscrete Jensen inequalityweakly singular integral inequalities

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications
• On some new integral inequalities of Gronwall-Bellman-Pachpatte type
• Gronwall-Bellman type nonlinear delay integral inequalities on time scales
• Inequalities for differential and integral equations
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• On some new integral inequalities and their applications.
• Explicit bounds on some new nonlinear integral inequalities with delay
• Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations
• The stability of solutions of linear differential equations
• Some new weakly singular integral inequalities and their applications to fractional differential equations
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