Semigroups and Stability of Nonautonomous Differential Equations in Banach Spaces
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This paper is concerned with nonautonomous differential equations in Banach spaces. Using the theory of semigroups of linear and nonlinear operators one investigates the semigroups of weighted translation operators associated with the underlying equations. Necessary and sufficient conditions for different types of stability are given in terms of spectral properties of the translation operators and the differential operators associated with the equations.
nonautonomous differential equations in Banach spaces, Nonlinear differential equations in abstract spaces, Semigroups of nonlinear operators, stability, Asymptotic properties of solutions to ordinary differential equations, semigroups
nonautonomous differential equations in Banach spaces, Nonlinear differential equations in abstract spaces, Semigroups of nonlinear operators, stability, Asymptotic properties of solutions to ordinary differential equations, semigroups
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