Integral equations and inequalities of Volterra type for functions defined in partially ordered spaces

DOI10.1016/0022-247X(87)90103-XzbMath0627.45008MaRDI QIDQ1092359

Avram Ronkov, D. D. Bainov

Publication date: 1987

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

zbMATH Keywords

partially ordered topological spacequasinilpotentExplicit estimateslinear integral inequalitiesVolterra type integral operators

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract integral equations, integral equations in abstract spaces (45N05) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Accuracy analysis of statistical linearization methods applied to nonlinear dynamical systems ⋮ On Volterra-type integral equations in noncompact metric space ⋮ Existence theorems of solutions for nonlinear impulsive Volterra integral equations in Banach spaces ⋮ Nonlinear integral equations with increasing operators in measure spaces

Cites Work

• On an abstract analog of the Bellman-Gronwall inequality
• Nonlinear integral inequalities for functions defined in partially ordered topological spaces
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