Nonlinear differential equations with asymptotically stable solutions |
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Authors: | V E Slyusarchuk |
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Institution: | (1) Ukrainian State Academy of Water Economy, Rivne |
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Abstract: | We establish conditions of asymptotic stability of all solutions of the equation , t≥0in a Banach space E in the case where σ(A(x)⊂{λ:Reλ<0}∀x∈E. We give an example of an equation with unstable solutions.
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 264–273, February, 1998. |
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