ON SOLVABILITY OF QUADRATIC HAMMERSTEIN INTEGRAL EQUATIONS IN HÖLDER SPACES

DOI10.57016/MV-NUYR4938MaRDI QIDQ6192523

Donal O'Regan, Mohamed Abdalla Darwish, Mohamed M. A. Metwali

Publication date: 12 February 2024

Published in: Matematički Vesnik (Search for Journal in Brave)

zbMATH Keywords

Schauder fixed point theoremHölder conditionquadratic Hammerstein integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Qualitative behavior of solutions to integral equations (45M99)

Cites Work

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• On a perturbed quadratic fractional integral equation of Abel type
• Measures of noncompactness and asymptotic stability of solutions of a quadratic Hammerstein integral equation
• On a class of quadratic Urysohn-Hammerstein integral equations of mixed type and initial value problem of fractional order
• On the existence of integrable solutions for a nonlinear quadratic integral equation
• On the space of functions with growths tempered by a modulus of continuity and its applications
• Solvability of a quadratic integral equation of Fredholm type with supremum in Hölder spaces
• Existence of monotonic $L_\varphi$-solutions for quadratic Volterra functional-integral equations
• On an elementary inequality and its application in the theory of integral equations
• On existence and asymptotic behaviour of solutions of a fractional integral equation

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