On some measures of noncompactness in the Fréchet spaces of continuous functions

DOI10.1016/j.na.2009.03.083zbMath1179.45007OpenAlexW2041851429MaRDI QIDQ732543

Leszek Olszowy

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.083

zbMATH Keywords

measures of noncompactnessFréchet spaceinfinite system of integral equationsTikhonov fixed point principle

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Systems of nonlinear integral equations (45G15)

Related Items (9)

Existence of mild solutions of second order evolution integro-differential equations in the Fre'chet spaces ⋮ Construction of a measure of noncompactness on \(BC(\Omega)\) and its application to Volterra integral equations ⋮ Solvability of functional integral equations in the Fréchet space \(C(\Omega)\) ⋮ Mild solutions of semilinear evolution equation on an unbounded interval and their applications ⋮ Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval ⋮ Existence of mild solutions for semilinear differential equations with nonlocal and impulsive conditions ⋮ Existence of weak solutions for an infinite system of second order differential equations ⋮ Solvability of infinite systems of singular integral equations in Fréchet space of continuous functions ⋮ Unnamed Item

Cites Work

• Existence principles for nonlinear resonant operator and integral equations
• Pathology of infinite systems of linear first order differential equations with constant coefficients
• Ordinary differential equations in Banach spaces
• On existence and asymptotic stability of solutions of a nonlinear integral equation
• Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach
• An existence theorem for a class of infinite systems of integral equations
• On global solutions of nonlinear integral equations in Banach spaces
• Measures of noncompactness, Darbo maps and differential equations in abstract spaces
• The global attractivity and asymptotic stability of solution of a nonlinear integral equation
• Solvability of infinite systems of differential equations in Banach sequence spaces
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