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Bounded solutions of weakly nonlinear differential equations in a Banach space

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Publication:368121
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DOI10.1007/s11072-008-0021-9zbMath1276.34051OpenAlexW1980223498MaRDI QIDQ368121

Alexander A. Boichuk, Oleksander Pokutnyi

Publication date: 18 September 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-008-0021-9


zbMATH Keywords

exponential dichotomy


Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Growth and boundedness of solutions to ordinary differential equations (34C11) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)


Related Items (6)

Bounded solutions of evolutionary equations. I ⋮ Weakly nonlinear boundary-value problems for differential equations in a Banach space in the critical case ⋮ Solutions of the Schrödinger equation in a Hilbert space ⋮ Bounded solutions of evolutionary equations ⋮ Weakly nonlinear boundary-value problems for the Fredholm integral equations with degenerate kernels in Banach spaces ⋮ Bounded solutions of the nonlinear Lyapunov equation and homoclinic chaos



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