OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF dx dt + Q ( t ) G (
نویسنده
چکیده
Consider the equation dx dt +Q(t)G(x(t− σ(t))) = f(t) (∗) where f, σ,Q ∈ C([0,∞), [0,∞)), G ∈ C(R,R),G(−x) = −G(x), xG(x) > o for x 6= 0, G is non-decreasing, t > σ(t), σ(t) is decreasing and t − σ(t) → ∞ as t → ∞. Whenf(t) ≡ 0, a sufficient condition in terms of the constants k = lim inf t→∞ ∫ t t−σ(t) Q(s)ds and L = lim sup t→∞ ∫ t
منابع مشابه
OSCILLATORY AND ASYMPTOTIC BEHAVIOR OF dx dt + Q ( t ) G ( x ( t − σ ( t ) ) ) = f ( t )
Consider the equation dx dt +Q(t)G(x(t− σ(t))) = f(t) (∗) where f, σ,Q ∈ C([0,∞), [0,∞)), G ∈ C(R,R),G(−x) = −G(x), xG(x) > o for x 6= 0, G is non-decreasing, t > σ(t), σ(t) is decreasing and t − σ(t) → ∞ as t → ∞. Whenf(t) ≡ 0, a sufficient condition in terms of the constants k = lim inf t→∞ Z
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