Convergence of the Successive Approximation Method in the Cauchy Problem for an Integro-Differential Equation with Quadratic Nonlinearity

The equations considered in this article have the form in which the time derivative of the unknown function is expressed as a double integral over the space variables of a weighted quadratic expression of the sought function. The domain of integration is unbounded and does not depend on time but dep...

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Veröffentlicht in:	Siberian advances in mathematics 2019-04, Vol.29 (2), p.128-136
Hauptverfasser:	Vaskevich, V. L., Shcherbakov, A. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Cauchy problems Convergence Derivatives Differential equations Existence theorems Integrals Mathematical analysis Mathematics Mathematics and Statistics Quadratic equations
Online-Zugang:	Volltext
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