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Oscillation of solutions of some generalized nonlinear α-difference equations

In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation Δα(ℓ)(p(k)Δα(ℓ)u(k))+q(k)f(u(k−τ(k)))=0,(1) k∈[a,∞), where the functions p, q, f and τ are defined in their domain of definition and α>1, ℓ is a positive real. Further, uf(u)>0...

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Main Authors: Manuel , Mariasebastin Maria Susai, Kılıçman, Adem, Srinivasan, K., Babu, G. Dominic
Format: Article
Published: SpringerOpen 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34793/
http://www.advancesindifferenceequations.com/content/2014/1/109/abstract
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spelling my.upm.eprints.347932015-12-23T02:05:00Z http://psasir.upm.edu.my/id/eprint/34793/ Oscillation of solutions of some generalized nonlinear α-difference equations Manuel , Mariasebastin Maria Susai Kılıçman, Adem Srinivasan, K. Babu, G. Dominic In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation Δα(ℓ)(p(k)Δα(ℓ)u(k))+q(k)f(u(k−τ(k)))=0,(1) k∈[a,∞), where the functions p, q, f and τ are defined in their domain of definition and α>1, ℓ is a positive real. Further, uf(u)>0 for u≠0, p(k)>0 and limk→∞(k−τ(k))=∞, where Rk=∑[k−ℓℓ]r=01αrp(rℓ)→∞ as k→∞ and u(k) is defined for k≥mini≥0(i−τ(i)) for all k∈[a,∞) for some a∈[0,∞). SpringerOpen 2014 Article PeerReviewed Manuel , Mariasebastin Maria Susai and Kılıçman, Adem and Srinivasan, K. and Babu, G. Dominic (2014) Oscillation of solutions of some generalized nonlinear α-difference equations. Advances in Difference Equations, 2014. art. no. 109. pp. 1-8. ISSN 1687-1839; ESSN: 1687-1847 http://www.advancesindifferenceequations.com/content/2014/1/109/abstract 10.1186/1687-1847-2014-109
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this paper, the authors discuss the oscillation of solutions of some generalized nonlinear α-difference equation Δα(ℓ)(p(k)Δα(ℓ)u(k))+q(k)f(u(k−τ(k)))=0,(1) k∈[a,∞), where the functions p, q, f and τ are defined in their domain of definition and α>1, ℓ is a positive real. Further, uf(u)>0 for u≠0, p(k)>0 and limk→∞(k−τ(k))=∞, where Rk=∑[k−ℓℓ]r=01αrp(rℓ)→∞ as k→∞ and u(k) is defined for k≥mini≥0(i−τ(i)) for all k∈[a,∞) for some a∈[0,∞).
format Article
author Manuel , Mariasebastin Maria Susai
Kılıçman, Adem
Srinivasan, K.
Babu, G. Dominic
spellingShingle Manuel , Mariasebastin Maria Susai
Kılıçman, Adem
Srinivasan, K.
Babu, G. Dominic
Oscillation of solutions of some generalized nonlinear α-difference equations
author_facet Manuel , Mariasebastin Maria Susai
Kılıçman, Adem
Srinivasan, K.
Babu, G. Dominic
author_sort Manuel , Mariasebastin Maria Susai
title Oscillation of solutions of some generalized nonlinear α-difference equations
title_short Oscillation of solutions of some generalized nonlinear α-difference equations
title_full Oscillation of solutions of some generalized nonlinear α-difference equations
title_fullStr Oscillation of solutions of some generalized nonlinear α-difference equations
title_full_unstemmed Oscillation of solutions of some generalized nonlinear α-difference equations
title_sort oscillation of solutions of some generalized nonlinear α-difference equations
publisher SpringerOpen
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/34793/
http://www.advancesindifferenceequations.com/content/2014/1/109/abstract
_version_ 1643831260746874880
score 13.211869

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