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Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-11-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The existence of nonoscillatory solutions of the higher-order nonlinear differential equation [r(t)(x(t)+P(t)x(t-τ))(n-1)]′+∑i=1mQi(t)fi(x(t-σi))=0, t≥t0, where m≥1,n≥2 are integers, τ>0, σi≥0, r,P,Qi∈C([t0,∞),R), fi∈C(R,R) (i=1,2,…,m), is studied.
Some new sufficient conditions for the existence of a nonoscillatory solution of above equation are obtained for general Qi(t) (i=1,2,…,m) which means that we allow oscillatory Qi(t) (i=1,2,…,m).
In particular, our results improve essentially and extend some known results in the recent references.
American Psychological Association (APA)
Tian, Yazhou& Meng, Fanwei. 2011. Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations. ISRN Mathematical Analysis،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-475362
Modern Language Association (MLA)
Tian, Yazhou& Meng, Fanwei. Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations. ISRN Mathematical Analysis No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-475362
American Medical Association (AMA)
Tian, Yazhou& Meng, Fanwei. Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations. ISRN Mathematical Analysis. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-475362
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-475362