[PDF][PDF] Oscillation, nonoscillation and growth of solutions of generalized second order nonlinear α-difference equations

MMS Manuel, GBA Xavier, DS Dilip… - Global Journal of …, 2012 - academia.edu
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 …

[PDF][PDF] α-difference operator and its application on number theory

MMS Manuel, GBA Xavier, DS Dilip - J. Mod. Methods Numer. Math, 2012 - academia.edu
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 …

[PDF][PDF] OSCILLATORY AND NONOSCILLATORY BEHAVIOUR OF SOLUTIONS OF GENERALIZED MIXED DIFFERENCE EQUATIONS

MMS Manuel, GD Babu, DS Dilip… - International Journal of …, 2016 - researchgate.net
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 …

[PDF][PDF] Asymptotic and oscillatory behaviour of certain nonlinear generalized α-difference equations

MMS Manuel, K Srinivasan, DS Dilip… - International Journal of …, 2014 - researchgate.net
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 …

[PDF][PDF] Oscillation, nonoscillation and growth of solutions of generalized nonlinear difference equation of second order

MMS Manuel, GBA Xavier, DS Dilip… - … in Computer and …, 2012 - researchgate.net
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 …

[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 …

[PDF][PDF] ASYMPTOTIC AND OSCILLATORY BEHAVIOUR OF SOLUTIONS OF THIRD ORDER GENERALIZED MIXED DIFFERENCE EQUATION

MMS Manuel, GD Babu, DS Dilip… - … Journal of Pure and …, 2015 - pdfs.semanticscholar.org
In this paper, the authors discuss the asymptotic and oscillatory behaviour of solutions of the
third order generalized mixed difference equation of the form∆ ℓ (∆ 2 α (ℓ) u (k))+ p (k) u (k+ …

[PDF][PDF] Generalized Stirling Numbers of Third Kind and Its Applications in Number Theory

GBA Xavier, V Chandrasekar… - International Journal of …, 2015 - m-hikari.com
In this paper, the authors generate the Stirling numbers of third kind to find formula for the
sum of several types of product of polynomials and polynomial factorials using inverse of the …

[PDF][PDF] GLOBAL PROPERTIES OF SOLUTIONS OF FOURTH ORDER GENERALIZED α− DIFFERENCE EQUATIONS

MMS Manuel, K Srinivasan, DS Dilip… - International Journal of …, 2014 - academia.edu
GLOBAL PROPERTIES OF SOLUTIONS OF FOURTH ORDER GENERALIZED α−DIFFERENCE
EQUATIONS M. Maria Susai Manuel1 §, K. Srinivasan2, Page 1 International Journal of …

[PDF][PDF] FORWARD DIFFERENCE OPERATOR OF THE SECOND KIND AND ITS APPLICATIONS IN NUMBER THEORY

GBA Xavier, MMS Manuel, V Chandrasekarand… - Part-A - shctpt.edu
FORWARD DIFFERENCE OPERATOR OF THE SECOND KIND AND ITS APPLICATIONS IN
NUMBER THEORY Page 15 11 FORWARD DIFFERENCE OPERATOR OF THE SECOND …