Solvability in weighted \(L_1\)-spaces for the \(m\)-product of integral equations and model of the dynamics of the capillary rise

DOI10.1016/j.jmaa.2022.126461OpenAlexW4283591687MaRDI QIDQ2157723

Mohamed M. A. Metwali

Publication date: 22 July 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126461

zbMATH Keywords

weighted Lebesgue spacesfixed point theorem (FPT)measure of weak noncompactness (MWNC)model of the dynamics of the capillary riseproduct of \(m\)-integral equations

Mathematics Subject Classification ID

Genetics and population dynamics (92Dxx) Nonlinear operators and their properties (47Hxx) Nonlinear integral equations (45Gxx)

Cites Work

• On a fixed point theorem for the product of operators
• On a class of quadratic Urysohn-Hammerstein integral equations of mixed type and initial value problem of fractional order
• A multi-group SIR epidemic model with age structure
• Measures of weak noncompactness and nonlinear integral equations of convolution type
• On existence and uniqueness of \(L_1\)-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem
• Solvability of a \(q\)-fractional integral equation arising in the study of an epidemic model
• Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise
• Numerical investigations of two-phase flow with dynamic capillary pressure in porous media via a moving mesh method
• Dynamics of a nonlinear equation modelling the capillary rise
• Asymptotic behaviour of a solution to a nonlinear equation modelling capillary rise
• Solvability in Hölder spaces of an integral equation which models dynamics of the capillary rise
• Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile
• Sur les espaces de Köthe
• On the formulation of epidemic models (an appraisal of Kermack and McKendrick)
• On some epidemic models
• On solutions of some delay Volterra integral problems on a half-line
• Solvability of Gripenberg's equations of fractional order with perturbation term in weighted LpL_p-spaces on R+{\mathbb{R}}^+
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