On a Conjecture of Chen and Huang

Sun, Jujiang; Wang, Jianguo

doi:10.1006/jmaa.1997.5261

Search citation statements

Order By: Relevance

Paper Sections

Select...

Vr(y(t) -P(t)y(t -R)) + Qi(t) Ujlx1

Oscillation Criteria1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2000

2007

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 5 publications

(3 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(3), we refer to [9][10] and the references cited therein. (3), we refer to [9][10] and the references cited therein.…”

Section: Vr(y(t) -P(t)y(t -R)) + Qi(t) Ujlxmentioning

confidence: 99%

Oscillation and Nonoscillation for Nonlinear Neutral Difference Equations with Continuous Arguments

Li¹,

Zhu²,

Zhou³

et al. 2002

International Journal of Nonlinear Sciences and Numerical Simulation

View full text Add to dashboard Cite

In this papeT we consider a kind of nonlinear neutral difference equations with continuous arguments. First, we obtain some sufficient conditions for the oscillation. When the coefficients in the equations are constants, these conditions are also necessary. Secondly, we derive a necessary and sufficient condition for the nonoscillation. Finally, we give a sufficient condition for the asymptotic behavior of the nonoscillatory solutions. v T (y(<) -p{t)y{t -τ)) + q(t) Π*=ι\y(t ~ σ*τ)| α > sign y{t -σ ό τ) = 0, and the more general nonlinear neutral differ-153 Brought to you by | Carleton University OCUL Authenticated Download Date | 6/20/15 8:15 AM

show abstract

“…(3), we refer to [9][10] and the references cited therein. (3), we refer to [9][10] and the references cited therein.…”

Section: Vr(y(t) -P(t)y(t -R)) + Qi(t) Ujlxmentioning

confidence: 99%

Oscillation and Nonoscillation for Nonlinear Neutral Difference Equations with Continuous Arguments

Li¹,

Zhu²,

Zhou³

et al. 2002

International Journal of Nonlinear Sciences and Numerical Simulation

View full text Add to dashboard Cite

show abstract

“…has an eventually positive solution as well. But it is well known that (25) and (26) each imply that (28) has no eventually positive solution. This is a contradiction and so the proof is complete.…”

Section: Oscillation Criteriamentioning

confidence: 99%

“…Many authors have considered linear neutral delay differential equations and established sufficient conditions for oscillation of all solutions. We refer to the articles [6,7,28,17,20,22,27,31] and the references cited therein.…”

Section: Introductionmentioning

confidence: 99%