Unstable invariant sets of semigroups of non-linear operators and their perturbations

Abstract

CONTENTS Introduction § 1. Attractors of semigroups in a normed space § 2. Examples of non-stationary differential equations having attractors § 3. An invariant manifold § 4. Examples of equations having a regular attractor § 5. Semigroups of operators depending on a parameter § 6. The existence of a Lyapunov function for a perturbed semigroup § 7. The behaviour of local unstable manifolds near a critical point References