Exponential stability of abstract evolution equations with time delay
نویسندگان
چکیده
منابع مشابه
Stability of solutions to abstract evolution equations with delay
An equation u̇ = A(t)u+B(t)F (t, u(t−τ)), u(t) = v(t),−τ ≤ t ≤ 0 is considered, A(t) and B(t) are linear operators in a Hilbert space H, u̇ = du dt , F : H → H is a non-linear operator, τ > 0 is a constant. Under some assumption on A(t), B(t) and F (t, u) sufficient conditions are given for the solution u(t) to exist globally, i.e, for all t ≥ 0, to be globally bounded, and to tend to zero at a s...
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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2014
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-014-0251-5