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This paper contains a theorem on the existence of monotonic and integrable solutions of a functional-integral equation. The proof of that theorem is based on the technique associated with the notion of a measure of weak noncompactness.

Integral equations of convolution type with power nonlinearity

S. Askhabov (1991)

Colloquium Mathematicae

Integral equations with contrasting kernels.

Burton, T.A. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Integrální rovnice s nelineárními funkcionály

Vlasta Peřinová (1966)

Pokroky matematiky, fyziky a astronomie

Iterative Berechnung mehrfacher Lösungen von Hammersteinschen Integralgleichungen.

K. Kilberth (1977/1978)

Numerische Mathematik

Iterative Lösung gewisser Randwertprobleme und Integralgleichungen

Boro Döring (1979)

Aplikace matematiky

Kneser's Theorem for Weak Solutions of an Integral Equation With Weakly Singular Kernel

Aldona Dutkiewicz, Stanisław Szufla (2005)

Publications de l'Institut Mathématique

Local asymptotic stability for nonlinear quadratic functional integral equations.

Dhage, B.C., Bellale, S.S. (2008)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Lyapunov functionals and periodicity in a system of nonlinear integral equations.

Zhang, Bo (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Lyapunov stability solutions of fractional integrodifferential equations.

Momani, Shaher, Hadid, Samir (2004)

International Journal of Mathematics and Mathematical Sciences

Monotonic solutions for quadratic integral equations

Mieczysław Cichoń, Mohamed M.A. Metwali (2011)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

Using the Darbo fixed point theorem associated with the measure of noncompactness, we establish the existence of monotonic integrable solution on a half-line ℝ₊ for a nonlinear quadratic functional integral equation.

Monotonic solutions of functional integral and differential equations of fractional order.

El-Sayed, A.M.A., Hashem, H.H.G. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Multiple positive solutions of some Fredholm integral equations arisen from nonlocal boundary-value problems.

Karakostas, G.L., Tsamatos, P.Ch. (2002)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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