Solvability and uniform local attractivity for a Volterra equation of convolution type

DOI10.1216/JIE-2019-31-2-149zbMath1435.45001OpenAlexW2976245515MaRDI QIDQ2329284

Edgardo Alvarez, Luciano Abadias, Carlos Lizama, Józef Banaś

Publication date: 17 October 2019

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

Full work available at URL: https://projecteuclid.org/euclid.jiea/1569225671

zbMATH Keywords

nonlinear Volterra integral equationfixed-point theoremmeasure noncompactnessuniformly locally attractive solution

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

• On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• An application of a measure of noncompactness in the study of asymptotic stability
• Some generalizations of Darbo fixed point theorem and applications
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• Attractivity and positivity results for nonlinear functional integral equations via measure of noncompactness
• Evolutionary Integral Equations and Applications
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Solvability and uniform local attractivity for a Volterra equation of convolution type