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Michel, Anthony N.; Sun, Ye

Stability of discontinuous Cauchy problems in Banach space. (English) Zbl 1110.34036

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 9, 1805-1832 (2006).
The authors present stability results on a class of discontinuous dynamical systems in Banach spaces or Cauchy problems in abstract spaces. The results are applied in the theory of functional-differential equations, Volterra integro-differential equations and PDEs.
Reviewer: Cristinel Mortici (Targoviste)

Cited in 1 Document

MSC:

34G20 Nonlinear differential equations in abstract spaces
34K30 Functional-differential equations in abstract spaces

Keywords:

discontinuous dynamical systems; semigroups; Lyapunov stability; asymptotic stability; exponential stability; Volterra integro-differential equations; heat equation
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\textit{A. N. Michel} and \textit{Y. Sun}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 9, 1805--1832 (2006; Zbl 1110.34036)
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References:

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