Conditions of solvability for nonlinear differential equations with perturbations of the solutions in the space of functions bounded on the axis

DOI10.1007/s11253-017-1308-8zbMath1499.34237OpenAlexW2602954175MaRDI QIDQ1729559

V. Yu. Slyusarchuk

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1308-8

zbMATH Keywords

existence and uniqueness of bounded solutionsnonlinear scalar differential equation

Mathematics Subject Classification ID

Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (2)

Almost periodic solutions of differential equations ⋮ On the Favard theory without \(\mathcal{H}\)-classes for differential-functional equations in Banach spaces

Cites Work

• Conditions for the existence of almost periodic solutions of nonlinear differential equations in Banach spaces
• Method of local linear approximation of nonlinear differential operators by weakly regular operators
• Conditions for almost periodicity of bounded solutions of nonlinear differential equations unsolved with respect to the derivative
• 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
• The study of nonlinear almost periodic differential equations without recourse to the $\pmb{\mathscr H}$-classes of these equations
• 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
• Conditions for the existence of bounded solutions of non-linear differential equations
• Conditions for almost periodicity of bounded solutions of non-linear differential-difference equations
• Necessary and sufficient conditions for existence and uniqueness of bounded and almost-periodic solutions of nonlinear differential equations
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