A Principle of Linearized Stability for Nonlinear Evolution Equations

DOI10.2307/2154758zbMath0843.47037OpenAlexW4240684825MaRDI QIDQ4875729

Nobuyuki Kato

Publication date: 24 April 1996

Full work available at URL: https://doi.org/10.2307/2154758

zbMATH Keywords

\(m\)-accretive operatorsproto-derivativesfunctional differential equationsnonlinear population dynamicssemilinear caseprinciple of linearized stability of stationary solutions to nonlinear evolution equations in Banach spaces

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

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