A general model of evolutionary processes. Exponential dichotomy—II

DOI10.1016/0362-546X(93)90112-6zbMath0784.34035MaRDI QIDQ4274529

Nguyen Van Minh, Jürgen Appell, Vangipuram Lakshmikantham, Peter P. Zabreĭko

Publication date: 21 March 1994

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

zbMATH Keywords

Banach spacesperturbationsexponential dichotomytopological equivalenceevolutionary processeskinematic similaritytopologically equivalent flowsstructural stability of flows

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) General spectral theory of ordinary differential operators (34L05) Perturbations of ordinary differential equations (34D10) Asymptotic properties of solutions to ordinary differential equations (34D05) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

A topological classification of linear differential equations on Banach spaces ⋮ Expansivity of semi-hyperbolic Lipschitz mappings ⋮ Integral manifolds of a general model of evolutionary processes with impulse effect ⋮ Splitting with different growth rates for linear discrete-time skew-evolution semiflows in Banach spaces ⋮ Exponential dichotomy roughness and structural stability for evolution families without bounded growth and decay ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ Exponential dichotomy roughness on Banach spaces

Cites Work

• A general model of evolutionary processes. Exponential dichotomy—I
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