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Acta Mathematica Vietnamica

A METHOD OF EXTENDING BY PARAMETER FOR APPROXIMATE SOLUTIONS OF OPERATOR EQUATIONS

icon-email KHUAT VAN NINH

Abstract

A method of extending by parameter has been researched in the works of V. A. Trenoghin [4]-[6], A. A. Fonarov [1] and Y. L. Gaponenco [2]. In this paper, the author presents an application of this method for approximating solutions of operator equations with any growth. Some results on the existence of solutions of operator equations are derived.