The summation and exact form of the solutions related to the special type of difference
equations are established in this paper by using the inverse of the delta and alpha‐delta …

In this paper, we study the solutions of the second-order generalized difference equation
having the form of 1 Δ ℓ 2 u (k)+ f (k, u (k))= 0, k∈[a,∞), a> 0, ℓ∈(0,∞), where Δ ℓ u (k)= u …

The theory of discrete versions of the fundamental nabla integration theorems is being
developed in this work. Through∞-order nabla-integrable function, this theory has been …

In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-
difference equation 1 Δ α (ℓ)(p (k) Δ α (ℓ) u (k))+ q (k) f (u (k− τ (k)))= 0, k∈[a,∞), where the …

Oscillation Criteria for a Class of Nonlinear Neutral Generalized α−Difference Equations Page 1
Appl. Math. Inf. Sci. 12, No. 4, 807-813 (2018) 807 Applied Mathematics & Information Sciences …

In this paper, the authors discuss the oscillatory and nonoscillatory behaviour of solutions of
some generalized mixed difference equations of the form∆ 2 ℓ (∆ α (ℓ) u (k))+ δp (k) u (k)= 0 …

EXTORIAL FUNCTION AND ITS PROPERTIES IN DISCRETE CALCULUS The difference of
two successive values of some sequence of numbers or Page 1 ADV MATH SCI JOURNAL …

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 authors intend to establish new oscillation criteria for a class of generalized third order
functional difference equation of the form\begin {equation}{\label {eq01}}\Delta_ {\ell}\left …

In the present study we highlight some results related to the oscillation for high order
nonlinear generalized neutral difference equation in the following form\begin …