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- W2376857925 abstract "We study the existence of exponentially-bounded solutions to the following system of second-order ordinary dierential equations with dissipation: u 00 + cu 0 + Au+ kH(u)= P( t) ;u 2 R n ;t 2 R ; where cand k are positive constants, H is a globally Lipschitz function, and P is a bounded and continuous function. A is a n n symmetric matrix whoserst eigenvalue is equal to zero and the others are positive. Under these conditions, we prove that for some values of c ,a nd kthere exist a continuous manifold such that solutions starting in this manifold are exponentially bounded. Our results are applied to the spatial discretization of well-known second-order partial dierential equations with Neumann boundary conditions." @default.
- W2376857925 created "2016-06-24" @default.
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- W2376857925 date "2000-10-01" @default.
- W2376857925 modified "2023-09-27" @default.
- W2376857925 title "Center manifold and exponentially-bounded solutions of a forced Newtonian system with dissipation" @default.
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