On monotonic integrable solutions for quadratic functional integral equations (Q1949856)

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scientific article; zbMATH DE number 6164339
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On monotonic integrable solutions for quadratic functional integral equations
scientific article; zbMATH DE number 6164339

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    On monotonic integrable solutions for quadratic functional integral equations (English)
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    17 May 2013
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    The object of this paper is to study the stability of a nonlinear Urysohn functional integral equation \[ x(t)= f_1(t, x(\Phi_1(t)))+ f_2(t, x(t)) \int^t_0 u(t,s,x(\Phi_2(s)))\,ds,\quad t\in L. \]
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    monotonic solution
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    measure of noncompactness
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    superposition operator
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    stability
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    nonlinear Urysohn functional integral equation
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