In this paper, the authors extend the theory of the generalized difference operator Δℓ to the
generalized difference operator of the n th kind denoted by Δ L, where L={ℓ1, ℓ2,..., ℓ n} of …

In this article, the authors discuss ℓ 2 (ℓ) and c 0 (ℓ) solutions of the second order
generalized difference equation Δ ℓ 2 u (k)+ f (k, u (k))= 0, k∈[a,∞), a> 0 and we prove the …

In this paper, the authors discuss the oscillation, nonoscillation and growth of the solutions of
the generalized nonlinear α-difference equation α (ℓ)(p (k) α (ℓ) u (k))+ f (k) F (k, u (k), α (ℓ) u …

In this paper, the authors extend the theory of the generalized difference operator∆ ℓ and the
second kind∆ ℓ1, ℓ2 to the generalized difference operator of the third kind∆ ℓ1, ℓ2, ℓ3 for the …

The basic theory of difference equations is based on the operator∆ defined as∆ u (k)= u (k+
1)-u (k), k∈ N= 10, 1, 2, 3,··· l. Eventhough many authors [1–3] have suggested the definition …

In this paper, the authors discuss the asymptotic and oscillatory behavior of solutions of the
nonlinear generalized α− difference equation∆ α (ℓ)(p (k)∆ α (ℓ)(u (k)+ q (k) u (k− ρ)))+ t (k) f …

The theory and some applications of the generalized difference operator∆ ℓ defined as∆ ℓ u
(k)= u (k+ ℓ)− u (k), k∈[0,∞) and ℓ∈(0,∞) had been developed in [2]. The generalized …

RESEARCH ARTICLE Oscillation, Nonoscillation and Growth of Solutions of Generalized
Nonlinear Difference Equation of Second Orde Page 1 J. of Mod. Meth. in Numer. Math …

In this paper, the authors extend the theory of the generalized difference operator∆ ℓ and the
second∆ ℓ1, ℓ2 to third kind∆ ℓ1, ℓ2, ℓ3 for the positive reals ℓ1, ℓ2 and ℓ3 by presenting …

In this chapter, the authors extend the theory of the generalized difference Operator∆ L to the
generalized difference operator of the n^ thkind denoted by∆ L Where L= L={l_1, l_2,…. l_n} …