Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators

DOI10.1007/BF01060384zbMath0702.34059OpenAlexW1992799386MaRDI QIDQ914939

Publication date: 1989

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01060384

zbMATH Keywords

convertibility property linear differential equations with almost periodic coefficients uniformly c-continuous operators

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) General theory of functional-differential equations (34K05) Boundary value problems for functional-differential equations (34K10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

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Nonlinear autonomous difference operators in the space of bounded sequences that are \(C^1\)-diffeomorphisms ⋮ Invertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axis ⋮ Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations ⋮ Systems of nonlinear differential equations with bounded solutions ⋮ Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations ⋮ Solvability of difference equations with nonuniformly contracting operators in the space of two-sided sequences ⋮ Method of local linear approximation in the theory of nonlinear impulsive systems ⋮ Representation of bounded solutions of linear discrete equations ⋮ Method of locally linear approximation of nonlinear difference operators by weakly regular operators ⋮ Nonlinear difference equations in the spaces of bounded two-sided sequences ⋮ Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps ⋮ On solutions defined on an axis for differential equations with shifts of the argument ⋮ Method of local linear approximation of nonlinear differential operators by weakly regular operators ⋮ A method of local linear approximation for the nonlinear discrete equations

Cites Work

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