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Stability of Evolutionary Functional Homomorphisms

Journal Name:

  • European Journal of Mathematical Sciences

Publication Year:

  • 2012

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Author Name

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Abstract (2. Language): 
In this article, we consider a strongly continuous evolution family of operators on an arbitrary Banach space X, which can be thought of as a propagator for the differential equation du d t = A(t)u(t), t ∈ R on X, with generally unbounded operators A(t). We associate a C0 - functional homomorphism with this evolution family and study its stability properties.
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  • 1
100-104
  • English

REFERENCES

References: 

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[2] A. Pazy. Semi groups of linear operators and application to partial differential equations.
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Math. Studies, 179, Amsterdam, 1993.
[4] R. K. Singh, P. Singh, and V. Pandey. Functional homomorphisms and dynamical systems.
Banach J. Of Math. Anal, 4(2):37–44, 2010.

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