A New Approach to Discrete Integration and Its Implications for Delta Integrable Functions

MM Al-Shamiri, V Rexma Sherine… - Mathematics, 2023 - mdpi.com
This research aims to develop discrete fundamental theorems using a new strategy, known
as delta integration method, on a class of delta integrable functions. The ν th-fractional sum …

Oscillation of solutions of some generalized nonlinear α-difference equations

MMS Manuel, A Kılıçman, K Srinivasan… - Advances in Difference …, 2014 - Springer
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 …

[PDF][PDF] The qualitative property of numerical solution of third order sublinear neutral-delay generalized difference equation

PVM Reddy, MMS Manuel… - An International Journal …, 2020 - naturalspublishing.com
Here, we discuss adequate oscillatory conditions for third-order sub linear neutral-delay ℓ-
difference equation∆ ℓ (α2 (k)∆ ℓ (α1 (k)∆ ℓ (x (k)+ p (k) x (k− τℓ))))+ q (k) xβ (k− σℓ)= 0, we …

[PDF][PDF] Fundamental Theorems in Discrete Fractional Calculus using Nabla Operator

M Abisha, T Sathinathan, D Saraswathi… - iaeng.org
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 …

[PDF][PDF] Oscillation Criteria for a Class of Nonlinear Neutral Generalized α− Difference Equations

A Kılıçman, PVM Reddy, MMS Manuel - Appl. Math, 2018 - digitalcommons.aaru.edu.jo
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 …

Oscillation of a Class of Third Order Generalized Functional Difference Equation

PVM Reddy, A Kilicman, MS Manuel - 2018 - preprints.org
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 …

Oscillation Criteria for Higher Order Nonlinear Generalized Neutral Difference Equations

A Kilicman, P Reddy, M Manuel - arXiv preprint arXiv:1808.02986, 2018 - arxiv.org
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 …

[PDF][PDF] OSCILLATION CRITERIA FOR SECOND ORDER LINEAR GENERALIZED DIFFERENCE EQUATION

MMS Manuel, PVM Reddy - International Journal of Pure and …, 2017 - academia.edu
OSCILLATION CRITERIA FOR SECOND ORDER LINEAR GENERALIZED DIFFERENCE
EQUATION M. Maria Susai Manuel1 §, P. Venkata Mohan Reddy2 Page 1 International …

[PDF][PDF] Nonexistence of Solutions of Certain Type of Second Order Generalized α-Difference Equation in ℓ2 (α (ℓ)) and c0 (α (ℓ)) Spaces

DS Dilip, MMS Manuel, GBA Xavier… - Southeast Asian Bulletin …, 2016 - researchgate.net
Nonexistence of Solutions of Certain Type of Second Order Generalized α-Difference Equation in ℓ
c0(α(ℓ)) Spaces Page 1 Southeast Asian Bulletin of Mathematics © SEAMS. 2016 Southeast Asian …