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
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 equations ⋮ A criterion for the existence of almost periodic solutions of nonlinear differential equations with impulsive perturbation ⋮ Almost periodic solutions of functional equations ⋮ 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 ⋮ Almost periodic solutions of differential equations ⋮ Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces ⋮ Almost periodic and Poisson stable solutions of difference equations in metric spaces ⋮ 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 ⋮ Invertibility of almost-periodic operators generated by discrete systems ⋮ Conditions for the existence of solutions of difference equations in the metric space of bounded sequences ⋮ Representation of bounded solutions of linear discrete equations ⋮ Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps ⋮ Conditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axis ⋮ Favard-Amerio theory for almost periodic functional-differential equations without using the \(\mathcal{H}\)-classes of these equations ⋮ Conditions for the existence of almost periodic solutions of nonlinear difference equations with discrete argument ⋮ Conditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivative ⋮ Periodic and almost periodic solutions of difference equations in metric spaces ⋮ Inverse-closedness of subalgebras of integral operators with almost periodic kernels ⋮ On the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spaces ⋮ Theory of equations of neutral type ⋮ A method of local linear approximation for the nonlinear discrete equations ⋮ Conditions for the existence of almost-periodic solutions of nonlinear difference equations in Banach space ⋮ Almost periodic solutions of nonlinear discrete systems that can be not almost periodic in Bochner's sense
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