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Solvability of Quadratic Integral Equations with Singular Kernel

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022
In this paper, we discussed the existence and uniqueness of solution of the singular Quadratic integral equation (SQIE). The Fredholm integral term is assumed in position with singular kernel. Under certain conditions and new discussions, the singular kernel will tend to a logarithmic kernel.
Abdel-Aty, M. A.   +2 more
openaire   +2 more sources

On solutions of a quadratic integral equation of Hammerstein type

open access: yesMathematical and Computer Modelling, 2006
0 ...
Józef Banas   +2 more
exaly   +4 more sources

On quadratic integral equation of fractional orders

open access: yesJournal of Mathematical Analysis and Applications, 2005
Motivated by the extensions of the work of \textit{J. Banaś} and \textit{A. Martinon} [Comput. Math. Appl. 47, No. 2--3, 271--279 (2004; Zbl 1059.45002)], which is based on a measure of non-compactness and fixed point theorem due to Darbo, the author, by using the Riemann-Liouville fractional integral operator, establishes an existence theorem for ...
Mohamed Abdalla Darwish
exaly   +4 more sources

On a perturbed quadratic fractional integral equation of Abel type

open access: yesComputers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Abdalla Darwish
exaly   +2 more sources

Effects of Quadratic Singular Curves in Integrable Equations

Studies in Applied Mathematics, 2014
In this paper, the effects of quadratic singular curves in integrable wave equations are studied by using the bifurcation theory of dynamical system. Some new singular solitary waves (pseudo‐cuspons) and periodic waves are found more weak than regular singular traveling waves such as peaked soliton (peakon), cusp soliton (cuspon), cusp periodic wave ...
Chen, Aiyong   +4 more
openaire   +2 more sources

On the Solutions of a Quadratic Integral and an Integral-Differential Equation

Zeitschrift für Analysis und ihre Anwendungen, 2002
An integral equation and a related integral-differential equation of first order over \mathbb R_+ with a quadratic integral term representing the so-called autocorrelation of the unknown function is dealt with. For both equations the general solution is constructed and estimated in the
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Nondecreasing solutions of a quadratic integral equation of Urysohn type

open access: yesComputers and Mathematics With Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wagdy Gomaa El-Sayed, Beata Rzepka
exaly   +3 more sources

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