An application on the second-order generalized difference equations
In this paper, we study the solutions of the second-order generalized difference equation having the form of Δ2 ℓu(k) + f (k, u(k)) = 0, k ε [a,8), a > 0, ℓ ε (0,∞), (1) whereΔℓu(k) = u(k + ℓ) - u(k). Then we provide applications on ℓ2(ℓ) and cα(ℓ).
| Main Authors: | Maria Susai Manuel, Mariasebastin, Kilicman, Adem, Xavier, Gnanadhass Britto Antony, Pugalarasu, Rajan, Dilip, Devadanam Suseela |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
SpringerOpen
2013
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/30049/ http://psasir.upm.edu.my/id/eprint/30049/1/An%20application%20on%20the%20second.pdf |
Similar Items
Oscillation of solutions of some generalized nonlinear α-difference equations
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014)
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014)
Asymptotic and boundedness behaviour of a rational difference equation
by: Dilip, Devadanam Suseela, et al.
Published: (2019)
by: Dilip, Devadanam Suseela, et al.
Published: (2019)
Oscillation criteria for third order neutral generalized difference equations with distributed delay
by: Reddy, P. Venkata Mohan, et al.
Published: (2019)
by: Reddy, P. Venkata Mohan, et al.
Published: (2019)
Qualitative study of riccati difference equation on maneuvering target tracking and fault diagnosis of wind turbine gearbox
by: Sumathy, M., et al.
Published: (2019)
by: Sumathy, M., et al.
Published: (2019)
A possible generalization of acoustic wave equation using the concept of perturbed derivative order
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
A variational-fixed point iterative technique for the solution of second order differential equations
by: Kilicman, Adem, et al.
Published: (2016)
by: Kilicman, Adem, et al.
Published: (2016)
Numerical solutions of the second-order one-dimensional telegraph equation based on reproducing kernel Hilbert space method
by: Inc, Mustafa, et al.
Published: (2013)
by: Inc, Mustafa, et al.
Published: (2013)
On the generalized mass transport equation to the concept of variable fractional derivative
by: Atangana, Abdon, et al.
Published: (2014)
by: Atangana, Abdon, et al.
Published: (2014)
On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)
Approximation solution for system of generalized ordered variational inclusions with operator in ordered Banach space
by: Mohd. Sarfaraz, et al.
Published: (2017)
by: Mohd. Sarfaraz, et al.
Published: (2017)
On generalized difference Hahn sequence spaces
by: Kuldip Raj,, et al.
Published: (2014)
by: Kuldip Raj,, et al.
Published: (2014)
On a generalization of the initial-boundary problem for the vibrating string equation
by: Amanov, Djumaklich, et al.
Published: (2019)
by: Amanov, Djumaklich, et al.
Published: (2019)
Solution of second-order IVP and BVP of matrix differential models using matrix DTM
by: Abazari, Reza, et al.
Published: (2012)
by: Abazari, Reza, et al.
Published: (2012)
Bezier curves method for fourth-order integrodifferential equations
by: Ghomanjani, Fateme, et al.
Published: (2013)
by: Ghomanjani, Fateme, et al.
Published: (2013)
Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)
Bezier curves for solving Fredholm integral equations of the second kind
by: Ghomanjani, Fateme, et al.
Published: (2014)
by: Ghomanjani, Fateme, et al.
Published: (2014)
m-polar generalization of fuzzy T-ordering relations: an approach to group decision making
by: Khameneh, Azadeh Zahedi, et al.
Published: (2020)
by: Khameneh, Azadeh Zahedi, et al.
Published: (2020)
Numerical Solution of Second-Order Linear Fredholm Integro-Differential Equation Using Generalized Minimal Residual Method
by: Aruchunan, Elayaraja, et al.
Published: (2010)
by: Aruchunan, Elayaraja, et al.
Published: (2010)
Direct two point block one-step method for solving general second order ordinary differential equations.
by: Abdul Majid, Zanariah, et al.
Published: (2012)
by: Abdul Majid, Zanariah, et al.
Published: (2012)
Direct one-step block methods for solving general second order non-stiff ordinary differential equations
by: Mukhtar, Nur Zahidah
Published: (2011)
by: Mukhtar, Nur Zahidah
Published: (2011)
Parabolic equations with the second-order Cauchy conditions on the boundary
by: Dokuchaev, Nikolai
Published: (2007)
by: Dokuchaev, Nikolai
Published: (2007)
On existence and uniqueness of generalized solutions for a mixed-type differential equation.
by: Elzaki, Tarig M., et al.
Published: (2010)
by: Elzaki, Tarig M., et al.
Published: (2010)
Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)
by: A. Elbeleze, Asma, et al.
Published: (2016)
Variable order block method for solving second order
ordinary differential equations
by: Zarina Bibi Ibrahim,, et al.
Published: (2019)
by: Zarina Bibi Ibrahim,, et al.
Published: (2019)
Variable order block method for solving second order ordinary differential equations
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
by: Ibrahim, Zarina Bibi, et al.
Published: (2019)
Generalized different types of mappings in fuzzy bitopological spaces
by: Alharbi, Ahlam Ahmed, et al.
Published: (2023)
by: Alharbi, Ahlam Ahmed, et al.
Published: (2023)
Numerical solution of second-order Fredholm integrodifferential equations with boundary conditions by quadrature-difference method
by: Jalius, Chriscella, et al.
Published: (2017)
by: Jalius, Chriscella, et al.
Published: (2017)
General second-order scalar-tensor theory and self-tuning
by: Charmousis, Christos, et al.
Published: (2012)
by: Charmousis, Christos, et al.
Published: (2012)
Note on the numerical solutions of the general matrix convolution equations by using the iterative methods and box convolution product
by: Kilicman, Adem, et al.
Published: (2010)
by: Kilicman, Adem, et al.
Published: (2010)
New oscillation conditions for nonlinear second order differential equations
by: Abdalla Salhin, Ambarka, et al.
Published: (2019)
by: Abdalla Salhin, Ambarka, et al.
Published: (2019)
On control problem for infinite system of differential equations of second order
by: Ibragimov, Gafurjan, et al.
Published: (2013)
by: Ibragimov, Gafurjan, et al.
Published: (2013)
Direct method for solving second order delay differential equations
by: Hoo, Yann Seong, et al.
Published: (2012)
by: Hoo, Yann Seong, et al.
Published: (2012)
Ninth order block hybrid collocation method for second order ordinary differential equations
by: Yap, Lee Ken, et al.
Published: (2015)
by: Yap, Lee Ken, et al.
Published: (2015)
Convergence Proof of Some Generalised Backward Differentiation
(GBDF) Methods to Solve the General Second Order Ordinary
Differential Equations (ODE).
by: Suleiman, Mohamed
Published: (1984)
by: Suleiman, Mohamed
Published: (1984)
Numerical methods for fractional order singular partial differential equations with variable coefficients
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
Advanced model updating methods for generally damped second order systems
by: Abuazoum, Latifa Abdalla
Published: (2011)
by: Abuazoum, Latifa Abdalla
Published: (2011)
On properties of the second order generalized autoregressive GAR(2) model with index.
by: Shitan, Mahendran, et al.
Published: (2009)
by: Shitan, Mahendran, et al.
Published: (2009)
Mathematical modeling with generalized function
by: Kilicman, Adem
Published: (2011)
by: Kilicman, Adem
Published: (2011)
Fourth-order explicit hybrid method for solving special second-order ordinary differential equations
by: Samat, Faieza, et al.
Published: (2012)
by: Samat, Faieza, et al.
Published: (2012)
Convergence of variational iteration method for solving singular partial differential equations of fractional order
by: Elbeleze, Asma Ali, et al.
Published: (2014)
by: Elbeleze, Asma Ali, et al.
Published: (2014)
Similar Items
-
Oscillation of solutions of some generalized nonlinear α-difference equations
by: Manuel , Mariasebastin Maria Susai, et al.
Published: (2014) -
Asymptotic and boundedness behaviour of a rational difference equation
by: Dilip, Devadanam Suseela, et al.
Published: (2019) -
Oscillation criteria for third order neutral generalized difference equations with distributed delay
by: Reddy, P. Venkata Mohan, et al.
Published: (2019) -
Qualitative study of riccati difference equation on maneuvering target tracking and fault diagnosis of wind turbine gearbox
by: Sumathy, M., et al.
Published: (2019) -
A possible generalization of acoustic wave equation using the concept of perturbed derivative order
by: Atangana, Abdon, et al.
Published: (2013)