On the behaviour of a class of quasilinear (h, k) hyperbolic systems under linear perturbations

DOI10.1016/S0362-546X(97)00301-5zbMath0902.34040MaRDI QIDQ4374954

Manuel Pinto, Julio López Fenner

Publication date: 6 December 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

linear perturbations\((h,k)\)-dichotomy

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Growth and boundedness of solutions to ordinary differential equations (34C11)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential dichotomy and trichotomy of nonlinear differential equations
• Continuous and discrete dynamics near manifolds of equilibria
• On linearly perturbed linear systems
• Roughness of \((h,k)\)-dichotomies
• Dichotomies and asymptotic formulas for the solutions of differential equations
• Invariant manifolds with asymptotic phase

This page was built for publication: On the behaviour of a class of quasilinear (h, k) hyperbolic systems under linear perturbations