Fixed point equations with abstract Volterra operators on spaces of functions of several variables

DOI10.2298/AADM180615016PMaRDI QIDQ5866253

Adrian Petruşel, Ioan A. Rus

Publication date: 13 June 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed pointabstract Volterra operatorDarboux-Ionescu problemstep by step contractionfibre contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Second-order nonlinear hyperbolic equations (35L70) Abstract integral equations, integral equations in abstract spaces (45N05) Fixed-point iterations (47J26)

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Cites Work

• Multidimensional integral equations and inequalities
• Abstract Volterra operators
• On a functional Volterra-Fredholm integral equation, via Picard operators
• Volterra funktional equations in the stability problem for the existence of global solutions of distributed controlled systems
• A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions
• Abstract Volterra equations: a survey
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