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Stieltjes integral inequalities of Gronwall type and applications

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Publication:1176040
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DOI10.1007/BF01765313zbMath0736.26007OpenAlexW2009102166MaRDI QIDQ1176040

Qing Kai Kong, Lynn H. Erbe

Publication date: 25 June 1992

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765313


zbMATH Keywords

Stieltjes integralsintegral inequalitiesGronwall inequalityBihari inequality


Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10)


Related Items (5)

Minimal conditions for implications of Gronwall-Bellman type ⋮ Gronwall-Bellman type integral inequalities for abstract Lebesgue integral ⋮ General approximation of fuzzy numbers by F-transform ⋮ Nonlinear integral equations with increasing operators in measure spaces ⋮ Integral inequalities in measure spaces



Cites Work

  • Pointwise estimates of solutions of some Volterra integral equations
  • Integral inequalities of Gronwall type for distributions
  • A Linear Generalization of Gronwall's Inequality
  • Fundamental Inequalities for Discrete and Discontinuous Functional Equations
  • The Gronwall Inequality for Modified Stieltjes Integrals


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