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where z (t ) = y (t) + p (t) y (σ (t )),m > 0, for t ≥ t 0. We assume that: (I1) a (t) ∈ C ( [t 0,∞ ) , (0 ,∞) ) ; a′ (t) ≥ 0 , R (t) = ∫ ∞ 0 a − 1 m (s) ds = ∞ , (I2) p ∈ C ( [t 0 ,∞ ) , R) ; and − 1 < p (t) ≤ p 0 ≤ 1 , p 0 constant. (I3) σ (t) ∈ C ( [t 0 ,∞ ) , R ) ; and σ (t) ≤ t for t ≥ t 0 and lim t→∞ σ (t) = ∞ , (I4) τ i (t) ∈ C ( [t 0 ,∞ ) , R ) ;… (More)
BACKGROUND This study aims to identify which among the metabolic syndrome (MS) definitions are closely associated with pathological levels of leptin, adiponectin, resistin, tumour necrosis alpha (TNF-alpha) and C-reactive protein (CRP) among type 2 diabetics. MATERIALS AND METHODS Three hundred and five (160 males; 145 females) adult type 2 diabetic… (More)
In this paper, oscillation criteria for general second order functional dierential equations are given. Integral criterion for oscillation using recent nth primitive method introduced by Cheh-Chih Yeh is considered. Ó 2000 Elsevier Science Inc. All rights reserved.
Oscillation criteria for second order nonlinear neutral differential equations. 1 M.M.A.El-sheikh, 2 R.Sallam and 3 N.Mohamady 1Department of Mathematics , Faculty of Science, Taibah University,Madinah ,Saudi Arabia. 1,2 Department of Mathematics , Faculty of Science, Menofia University, Egypt. 3 Department of Mathematics , Faculty of Science, Benha… (More)
In this paper, the distribution of zeros of solutions of the first order neutral differential equation 0 , t h x t f t g x t p t x is discussed. New criteria are deduced . Illustrative example is given.