Stability properties of differential systems under constantly acting perturbations.
Cantarelli, Giancarlo, Zappalá, Giuseppe (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Stability of quasi-linear differential equations with transition conditions.”
Stability properties of differential systems under constantly acting perturbations.
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Commentationes Mathematicae Universitatis Carolinae
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The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value...
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