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

DOI10.1007/s11253-012-0621-5zbMath1264.47050OpenAlexW2109450310MaRDI QIDQ1760030

V. Yu. Slyusarchuk

Publication date: 23 November 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-012-0621-5

zbMATH Keywords

linear approximationnonlinear differential operatorweakly regular operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear operator approximation theory (47A58)

Related Items (8)

Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces ⋮ Solvability of difference equations with nonuniformly contracting operators in the space of two-sided sequences ⋮ Nonlinear difference equations in the spaces of bounded two-sided sequences ⋮ 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 ⋮ Conditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivative ⋮ 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

Cites Work

• Method of local linear approximation in the theory of bounded solutions of nonlinear difference equations
• Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• The method of local linear approximation in the theory of nonlinear functional-differential equations
• Method of local linear approximation in the theory of bounded solutions of nonlinear differential equations
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