Differential Equations, Volume 8Shair Ahmad, Marvin Keener, A. C. Lazer Hyperbolic problems: existence and applications; Stability from the bifurcation function; Boundary value problems for lipschitz equations; Periodic solutions of systems of ordinary differential equations; The structure of limit sets: a survey; On existence of periodic solutions for nonlinearly pertubed consertative systems; Start points in semiflows; A saddle point theorem; Periodic solutions of the forced pendulum equation. |
Contents
Stability from the Bifurcation Function | 23 |
Boundary Value Problems for Lipschitz Equations | 31 |
vii | 42 |
Copyright | |
16 other sections not shown
Other editions - View all
Common terms and phrases
1980 by Academic Academic Press assume asymptotically stable attractor Baire Baire space bifurcation boundary conditions boundary value problems bounded Cesari complement system consider constant continuous function converges Corollary d(po defined denote distal dynamical system eigenvalues elliptic equa example exists fixed point flow follows form reserved func H₁ H₂ Hence homeomorphism implies improper start point integer k₁ Lazer Lemma Liapunov function linear Lipschitz locally compact Math matrix metric space minimal set neighborhood nonlinear nontrivial solution nonwandering norm obtain operator ordinary differential equations periodic solutions Poisson stable product s.d.s. proof of Theorem properties prove R(f₁ rights of reproduction satisfies solu stability subset subspace sufficient condition Taylor series theory tion topological uniform asymptoticity uniform attraction uniformly unique vector zero λυ