On point-dissipative systems of differential equations with quadratic nonlinearity

Anile K. Bose, Alan S. Cover and James A. Reneke

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-12

Abstract:

The system x ′ = A x + f ( x ) of nonlinear vector differential equations, where the nonlinear term f ( x ) is quadratic with orthogonality property x T f ( x ) = 0 for all x , is point-dissipative if u T A u < 0 for all nontrivial zeros u of f ( x ) .

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:584280

DOI: 10.1155/S0161171291000108

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