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Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Uniform Asymptotic Stability"

Browsing Matematik Bölümü Yayın Koleksiyonu by Subject "Uniform Asymptotic Stability"

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  • A Stability Criterion for Delay Differential Equations With Impulse Effects 
    Alzabut, Jehad (World Scientific Publ CO PTE LTD, 2007-01-01)
    In this paper, we prove that if a delay differential equation with impulse effects of the form x’(t) = A(t)x(t) + B(t)x(t - τ), t ≠ θi, Δx(θi) = Cix(θi) + Dix(θi-j); i ∈ 2 N; verfies a Perron condition then its trivial ...
  • Perron's theorem for q-delay difference equations 
    Alzabut, Jehad; Abdeljawad, Thabet (Natural Sciences Publishing Corporation, 2011-01)
    In this paper, we prove that if a linear q-delay difference equation satisfies Perron's condition then its trivial solution is uniformly asymptotically stable