## Dynamical systems and evolution equations: theory and applications |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Evolution Equations on 6l | 1 |

The Space 61 | 2 |

Evolution Equations on 6T | 3 |

Copyright | |

29 other sections not shown

### Other editions - View all

Dynamical Systems and Evolution Equations: Theory and Applications John A. Walker Limited preview - 2013 |

### Common terms and phrases

applying Theorem assume Ax(t Banach space bounded sets C0-semigroup Chapter compact conclusions consider continuous Liapunov function define V(x Definition denote dense Differential Equations dynamical system S(t)}l>0 eigenvalues equilibrium xe equivalent norm evolution equation Exercise fi(x forward finite escape Frechet differentiable G 6l+ G 9C G 9l+ G ft given globally asymptotically stable heat conduction hence Hilbert space implies infinitesimal initial data inner product Invariance Principle largest positive invariant Liapunov's Direct Method linear dynamical system linear operator Lipschitz continuous lower semicontinuous Mathematical matrix metric space monotone moreover multivalued operator normed linear space obtain orbits are bounded physical system positive invariant set positive orbits precompact proof is complete proof of Theorem Proposition Riemann integral SA(t satisfies Section sense of Theorem sequence shown space 9C strong solution subset symmetric Theorem 4.2 Theorem III.5.1 topology ty(A unique V(xe x G 9C x,y G