## Lecture Notes in Mathematics, Volume 144 |

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### Contents

ON STABILITY OF CLOSED SETS IN DYNAMICAL SYSTEMS l | 1 |

PERTURBATION OF SYSTEMS WITH GLOBAL EXISTENCE | 16 |

REMARKS ON INTEGRAL STABILITY | 30 |

Copyright | |

19 other sections not shown

### Common terms and phrases

A+(x absolute stability analytic assume assumption asymptotically recurrent asymptotically stable attractor relative Banach space boundary value bounded characteristic multipliers compact set consider constant continuous function converges defined Definition denote dynamical systems example exists fixed point functional differential equations Hence hyperstable implies inequality integrally stable interval irreducible lemma Liapunov function linear Lipschitz Math minimal set N. P. Bhatia National Science Foundation neighborhood nonlinear obtained orbit ordinary differential equations origin parameters Partially supported periodic solution perturbed polynomial polynomial matrix positively invariant proof properties prove real number recurrent relative rest point satisfies Science Foundation Grant Seiten Seminar sequence subharmonics subset supported by National Suppose theory topological dynamics trajectory transfer function uniformly asymptotic stability University of Maryland vector Volterra integral equations weak attractor zero solution