Asymptotic Analysis II: Surveys and New Trends

ISBN-13: 9783540122869 / Angielski / Miękka / 1983 / 494 str.

F. Verhulst

Spis treści

Dynamical systems driven by small white noise: Asymptotic analysis and applications.- to the paper by V.F. Butuzov and A.B. Vasil’eva.- Singularly perturbed differential equations of parabolic type.- Asymptotic methods in mathematical biology.- to the paper by A.S. Bakaj.- Integral manifolds and adiabatic invariants of systems in slow evolution.- Asymptotic analysis of hamiltonian systems.- Homogenization method for the study of composite media.- Uniform asymptotic expresions for the fundamental matrix of singularly perturbed linear systems and applications.- Slow/fast decoupling for linear boundary value problems.- Numerical aspects of singular perturbation problems.- The (Driven) Josephson equation: An exercise in asymptotics.- Periodic solutions of the autonomous josephson equation.- On the interaction of flames and sound.- to the research papers.- Application of a combined Galerkin-averaging method.- Asymptotic expansions for singularly perturbed differential matrix riccati equations with applications to linear — Quadratic optimization problems.- Singular perturbations of epidemic models involving a threshold.- An asymptotic theory for the free vibrations of an iced two-conductor bundled transmission line.- Linear methods in nonlinear problems with a small parameter.- Relaxation oscillations including a standard chase on French ducks.