Nonlinear differential equations in B(H) motivated by learning models
Abstract
We study a system of ordinary differential equations in B(H), the space of all bounded linear operators on a separable Hilbert space H. The system considered is a natural generalization of the Oja-Cox-Adams learning models. We establish the local existence of solutions and solve explicitly the system for a class of initial conditions. For such cases, we also characterize the asymptotic behavior of solutions. © Springer Science+Business Media, LLC 2009.
Publication Title
Journal of Dynamics and Differential Equations
Recommended Citation
Botelho, F., & Jamison, J. (2009). Nonlinear differential equations in B(H) motivated by learning models. Journal of Dynamics and Differential Equations, 21 (4), 595-606. https://doi.org/10.1007/s10884-009-9148-3
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