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On the inversion of functional operators in a space of functions bounded on the axes - MaRDI portal

On the inversion of functional operators in a space of functions bounded on the axes

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Publication:2560938

DOI10.1007/BF01098519zbMath0262.34051OpenAlexW2084131072MaRDI QIDQ2560938

Yanyan Li

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1007/bf01098519




Related Items (25)

To Favard's theory for functional equationsA criterion for the existence of almost periodic solutions of nonlinear differential equations with impulsive perturbationAlmost periodic solutions of functional equationsInvertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axisApplication of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equationsAlmost periodic solutions of differential equationsConditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spacesAlmost periodic and Poisson stable solutions of difference equations in metric spacesSolvability of difference equations with nonuniformly contracting operators in the space of two-sided sequencesMethod of local linear approximation in the theory of nonlinear impulsive systemsInvertibility of almost-periodic operators generated by discrete systemsConditions for the existence of solutions of difference equations in the metric space of bounded sequencesRepresentation of bounded solutions of linear discrete equationsNecessary and sufficient conditions for the invertibility of nonlinear differentiable mapsConditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axisFavard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equationsConditions for the existence of almost periodic solutions of nonlinear difference equations with discrete argumentConditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivativePeriodic and almost periodic solutions of difference equations in metric spacesInverse-closedness of subalgebras of integral operators with almost periodic kernelsOn the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spacesTheory of equations of neutral typeA method of local linear approximation for the nonlinear discrete equationsConditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach spaceAlmost periodic solutions of nonlinear discrete systems that can be not almost periodic in Bochner's sense



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