Invertibility conditions for nonlinear autonomous differential operators in the space of functions bounded on the axis

DOI10.1007/S11253-022-02027-ZOpenAlexW4289928232MaRDI QIDQ2168983

V. Yu. Slyusarchuk

Publication date: 29 August 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02027-z

Mathematics Subject Classification ID

Operator theory (47-XX)

Cites Work

• Necessary and sufficient conditions for invertibility of uniformly c- continuous functional-differential operators
• Global invertibility of nonlinear operators and the method of continuation with respect to a parameter
• Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps
• On the inversion of functional operators in a space of functions bounded on the axes
• Soluzioni quasi-periodiche, o limitate, di sistemi differenziali non lineari quasi-periodici, o limitati
• Bounded and periodic solutions of nonlinear functional differential equations
• INVERTIBILITY OF NONAUTONOMOUS FUNCTIONAL-DIFFERENTIAL OPERATORS
• Global inversion theorems and applications to differential equations
• Exponential dichotomy for solutions of discrete systems
• Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations
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