On solutions of a quadratic integral equation of Hammerstein type

Monotonic positive solution of a nonlinear quadratic functional integral equation

“…The quadratic integral equation can be very often encountered in many applications (see [4][5][6][7][8][11][12][13][14][15]). …”

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a b s t r a c tThe existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [4][5][6][7][8]. Here we are concerning with a nonlinear quadratic integral equation of Volterra type and we shall prove the existence of at least one L 1 Àpositive monotonic solution for that equation under Carathèodory condition.

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The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations

“…The quadratic integral equations can be very often encountered in many applications. Some treatments for solvability of (QIEs) are given in [4][5][6].…”

Existence of Integrable Solutions of an Integral Equation of Hammerstein Type on an Unbounded Interval

“…Recently, Banaś, Rocha Martin and Sadarangani [8] study the solvability of Eq. (1.1), on the Banach space BC(R + ) consisting of all real functions defined, bounded and continuous on R + , in the special case where the perturbation term g is constant.…”