Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term

doi:10.1007/s10255-022-1089-1

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	Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term
	Li, Wen-juan 1; Yu, Yuan-hong 2
	2022-04-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	38 期号:2 页码:484-496
摘要	The authors present some new criteria for oscillation and asymptotic behavior of solutions of third-order nonlinear differential equations with a sublinear neutral term of the form (r(t)(z ''(t))(alpha))' + integral(d)(c) q(t, xi)f (x(sigma(t, xi))) d xi = 0, t >= t(0) where z(t) = x(t)+integral(b)(a) p(t, xi)x(gamma) (tau(t, xi)) d xi, 0 < gamma <= 1. Under the conditions integral(infinity)(t0) r(-1/alpha)(t)dt = infinity or integral(infinity)(t0) r(-1/alpha)(t)dt < infinity. The results obtained here extend, improve and complement to some known results in the literature. Examples are provided to illustrate the theorems.
关键词	oscillatory behavior neutral differential equation third-order
DOI	10.1007/s10255-022-1089-1
收录类别	SCI
语种	英语
资助项目	NSFC[11761006] ; NSFC[11762001] ; Higher School Foundation of Inner Mongolia[NJZY17301]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000781349200017
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60317
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Wen-juan
作者单位	1.Chifeng Univ, Math & Comp Sci Coll, Chifeng 024000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Wen-juan,Yu, Yuan-hong. Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2022,38(2):484-496.
APA	Li, Wen-juan,&Yu, Yuan-hong.(2022).Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,38(2),484-496.
MLA	Li, Wen-juan,et al."Oscillatory Behavior of Third-order Nonlinear Differential Equations with a Sublinear Neutral Term".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 38.2(2022):484-496.