The Gronwall Inequality for Modified Stieltjes Integrals

DOI10.2307/2036063zbMath0174.34901OpenAlexW4252863063MaRDI QIDQ5562729

George R. Sell, W. W. Schmaedeke

Publication date: 1968

Full work available at URL: https://doi.org/10.2307/2036063

zbMATH Keywords

differentiation and integration, measure theory

Related Items

Minimal conditions for implications of Gronwall-Bellman type, Gronwall-Bellman type integral inequalities for abstract Lebesgue integral, The Gronwall Inequality for Modified Stieltjes Integrals, Integral inequalities of Gronwall type for distributions, A Gronwall Inequality for Linear Stieltjes Integrals, A Product Integral Representation for a Gronwall Inequality, Stieltjes integral inequalities of Gronwall type and applications, The Gronwall Inequality for Weighted Integrals, Bounded variation evolution equations, The Solution of a Nonlinear Gronwall Inequality, On the continuation and boundedness of solutions of a nonlinear differential equation, Representation of Linear Functionals on Quasi-Continuous Functions, A Special Integral and a Gronwall Inequality

Cites Work

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• Linear functional operations on functions having discontinuities of the first kind
• Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures
• The Gronwall Inequality for Modified Stieltjes Integrals
• Definitions of Stieltjes Integrals of the Riemann Type
• The Integral of a Function with Respect to a Function