Abstract
<p style='text-indent:20px;'>A classical stability criterion for Hill's equation is extended to more general families of periodic two-dimensional linear systems. The results are motivated by the study of mechanical vibrations with friction and periodic prey-predator systems.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference18 articles.
1. Z. Amine, R. Ortega.A periodic prey-predator system, J. Math. Anal. Appl., 185 (1994), 477-489.
2. B. M. Brown, M. S. P. Eastham and K. M. Schmidt, Periodic Differential Operators, Birkhäuser, New York, 2013.
3. L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations, Springer-Verlag, New York, 1971.
4. E. N. Dancer.Turing instabilities for systems of two equations with periodic coefficients, Differential Integral Equations, 7 (1994), 1253-1264.
5. J. P. Den Hartog, Mechanical Vibrations, Dover Pub., New York, 1985.
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