Stability implications on the asymptotic behavior of nonlinear systems
In this paper we generalize Bownds' Theorems (1) to the systems dY(t)dt=A(t)Y(t) and dX(t)dt=A(t)X(t)+F(t,X(t)). Moreover we also show that there always exists a solution X(t) of dXdt=A(t)X+B(t) for which limt→∞sup‖X(t)‖>o(=∞) if there exists a solution Y(t) for which limt→∞sup‖Y(t)‖>o(=∞...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000106 |