On solutions of some delay Volterra integral problems on a half-line

DOI10.15388/namc.2021.26.24149OpenAlexW3192420316MaRDI QIDQ5009870

Mohamed M. A. Metwali, Kinga Chichon

Publication date: 6 August 2021

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2021.26.24149

zbMATH Keywords

measure of noncompactnessCarathéodory conditionsdelay integral equationsDarbo fixed point theoremsuperposition operator

Mathematics Subject Classification ID

Nonlinear operators and their properties (47Hxx) Nonlinear integral equations (45Gxx) Qualitative behavior of solutions to integral equations (45Mxx)

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Cites Work

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• On a fixed point theorem for the product of operators
• Measures of weak noncompactness and nonlinear integral equations of convolution type
• Abel integral equations. Analysis and applications
• Measures of noncompactness and solvability of an integral equation in the class of functions of locally bounded variation
• A periodicity threshold theorem for epidemics and population growth
• On periodic solutions of a delay integral equation modelling epidemics
• Stability criteria for certain delay integral equations of Volterra type
• Primary discontinuities in solutions for delay integro-differential equations
• On the concept of existence and local attractivity of solutions for some quadratic Volterra integral equation of fractional order
• On monotonic integrable solutions for quadratic functional integral equations
• Compactness in measure and measure of noncompactness
• A family of measures of noncompactness in the space \(L^1_{\mathrm{loc}}(\mathbb R_+)\) and its application to some nonlinear Volterra integral equation
• Monotonic solutions for quadratic integral equations
• A note on a nonlinear integral equation from the theory of epidemics
• On the superposition operator and integrable solutions of some functional equation
• Convergence and stability of quadrature methods applied to Volterra equations with delay
• COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
• A family of measures of noncompactness in the spaceL^p_loc(ℝ^N) and its application to some nonlinear convolution type integral equations
• Existence results for Volterra-Stieltjes quadratic integral equations on an unbounded interval