Method of local linear approximation of nonlinear differential operators by weakly regular operators

Author: Slyusarchuk V.  

Publisher: Springer Publishing Company

ISSN: 0041-5995

Source: Ukrainian Mathematical Journal, Vol.63, Iss.12, 2012-05, pp. : 1916-1932

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Abstract

We obtain conditions for the existence of solutions of nonlinear differential equations in the space of functions bounded on the axis by using a local linear approximation of these equations.