A differential equation of Lurie type
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- by T. A. Burton PDF
- Proc. Amer. Math. Soc. 36 (1972), 491-496 Request permission
Abstract:
The problem of Lurie consists of finding necessary and sufficient conditions for all solutions of the system $\{ x’ = Ax + bf(\sigma ),\sigma ’ = {c^T}x - rf(\sigma )\}$ to tend to zero as $t \to \infty$ under appropriate conditions on the functions involved. When $f(\sigma )/\sigma \to 0$ as $|\sigma | \to \infty$, we obtain NASC’s for all solutions to be uniformly ultimately bounded.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 491-496
- MSC: Primary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0310334-X
- MathSciNet review: 0310334