Ramalingam Arul

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In this paper, we study the oscillatory and asymptotic behavior of second order neutral delay difference equation with “maxima” of the form ( ) ( ) [ ] ( ) n n n n n s n n a x p x q x n n − − ∆ ∆ + + = ∈ α τ σ 0 , max 0, .  Examples are given to illustrate the main result.
Familial lecithin-cholesterol acyltransferase (LCAT) deficiency is a rare autosomal recessive (AR) disease caused by mutation in the LCAT gene. LCAT enzyme esterifies cholesterol molecules in high-density lipoprotein(HDL) and low density-lipoprotein (LDL) particles. This enzyme deficiency is characterised by progressive corneal opacification,(More)
In this paper, we obtained some sufficient conditions for the oscillation of all solutions of the second order neutral differential equation of the form ( ) ( ) ( ) ( ) ( ) ( ) ( ) ′ ′ r t z t q t f x t t t0 0, 0 σ + = ≥ ≥ where ( ) ( ) ( ) ( ) ( ) ( ) z t x t a t x t b t x t τ δ = + − + + , and ( ) 1 ∫t t r t 0 d ∞ < ∞ . Examples are provided to illustrate(More)
In this paper, the existence of nonoscillatory solutions of the even order nonlinear neutral difference equations of the form ∆ ∆( + ) + ( ) = h are treated by using fixed point technique. Sufficient conditions for the existence of nonoscillatory solution of such equations are established. Examples are provided to illustrate the main results. 2010 AMS(More)
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