A generalisation of a theorem of O. Perron for semilinear evolution equations (Q5360377)

scientific article; zbMATH DE number 6782171

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English	A generalisation of a theorem of O. Perron for semilinear evolution equations	scientific article; zbMATH DE number 6782171

Statements

instance of

scholarly article

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title

A generalisation of a theorem of O. Perron for semilinear evolution equations (English)

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author

Ciprian Preda

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published in

Mathematical Proceedings of the Cambridge Philosophical Society

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publication date

28 September 2017

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MaRDI profile type

MaRDI publication profile

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cites work

Nonlinear semigroups and the existence and stability of solutions to semilinear nonautonomous evolution equations

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Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

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Dynamics in infinite dimensions. Appendix by Krzysztof P. Rybakowski.

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Geometric theory of semilinear parabolic equations

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Invariant manifolds

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Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces

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Q5599358

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On the asymptotic behavior of the solutions of semilinear nonautonomous equations

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Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line

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Semigroups and Stability of Nonautonomous Differential Equations in Banach Spaces

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On the proof of characterizations of the exponential dichotomy

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Invariant manifolds of partial functional differential equations.

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Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations

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Locally Lipschitz Continuous Perturbations of Linear Dissipative Operators and Nonlinear Semigroups

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Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations

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Nonlinear evolution operators and semigroups. Applications to partial differential equations

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Semigroups of linear operators and applications to partial differential equations

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\((L^p,L^q)\)-admissibility and exponential dichotomy of evolutionary processes on the half-line

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Schäffer spaces and uniform exponential stability of linear skew-product semiflows

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Schäffer spaces and exponential dichotomy for evolutionary processes

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Hyperbolic evolution groups and dichotomic evolution families

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The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions

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Dichotomies for linear evolutionary equations in Banach spaces

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Non-linear semi-groups

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Dynamics of evolutionary equations

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Sufficient conditions for exponential stability and dichotomy of evolution equations

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Continuous nonlinear perturbations of linear accretive operators in Banach spaces

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full work available at URL

https://doi.org/10.1017/s0305004115000717

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Identifiers

zbMATH Open document ID

1371.34081

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DOI

10.1017/S0305004115000717

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5360377