Bounded solutions of linear differential equations in a Banach space
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Publication:1949339
DOI10.1007/s11072-006-0020-7zbMath1262.34037OpenAlexW2085074283MaRDI QIDQ1949339
Alexander A. Boichuk, Oleksander Pokutnyi
Publication date: 7 May 2013
Published in: Nonlinear Oscillations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11072-006-0020-7
General theory of ordinary differential operators (47E05) Growth and boundedness of solutions to ordinary differential equations (34C11) Linear differential equations in abstract spaces (34G10)
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Bounded solutions of evolutionary equations. I ⋮ Computation of Green's function of the bounded solutions problem ⋮ Weakly nonlinear boundary-value problems for systems of impulsive integrodifferential equations. Critical case of the second order ⋮ Application of the ergodic theory to the investigation of boundary-value problems with periodic operator coefficients ⋮ Multivalued integral manifolds in Banach spaces ⋮ Bounded solutions of linear and weakly nonlinear differential equations in a Banach space with an unbounded operator in the linear part ⋮ Boundary-value problems for systems of integrodifferential equations ⋮ Boundary-value problems for differential equations in Banach spaces with unbounded operator in the linear part ⋮ Weakly nonlinear systems of integrodifferential equations ⋮ Bounded solutions of evolutionary equations ⋮ Green's function of the problem of bounded solutions in the case of a block triangular coefficient ⋮ Bounded solutions of the nonlinear Lyapunov equation and homoclinic chaos
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