Integral manifolds of a general model of evolutionary processes with impulse effect

DOI10.1016/0362-546X(94)90042-6zbMath0844.34062MaRDI QIDQ4312084

Aulbach, Bernd, Nguyen Van Minh, Peter P. Zabreĭko

Publication date: 29 November 1994

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

zbMATH Keywords

Hilbert spaceexponential dichotomyintegral manifoldsspectral dichotomycocycle with impulse effect

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Growth and boundedness of solutions to ordinary differential equations (34C11) Applications of operator theory to differential and integral equations (47N20)

Related Items (3)

Semigroups and differential equations with almost periodic coefficients ⋮ Dynamic equation on time scale with almost periodic coefficients ⋮ Bernd Aulbach—Obituary

Cites Work

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• Exponential dichotomy and trichotomy of nonlinear differential equations
• A reduction principle for systems of differential equations that have impulses
• Exponential dichotomy of linear impulsive differential equations in a Banach space
• A reduction principle for nonautonomous differential equations
• A characterization of exponential dichotomy in terms of topological equivalence
• Topological classification of impulsive differential equations
• A general model of evolutionary processes. Exponential dichotomy—II
• A reduction principle for topological classification of nonautonomous differential equations
• Invariant manifolds

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