ASYMPTOTIC　BEHAVIOR　OF　NONOSCILLATORY　SOLUTIONS　OF　A　SECOND　ORDER　FUNCTIONAL　DIFFERENTIAL　EQUATIONS

ASYMPTOTIC BEHAVIOR OF NONOSCILLATORY SOLUTIONS OF A SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS

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摘要 In this paper, we study the asymptotic behavior of a nonoscillatory solutions of a differential equation:We obtain some sufficient conditions which ensure that all the nonoscillatory solutions of (1) tend either to infinity or to zero as t . Our results generalize and improve some of the results of Parhi (Acta. Math. Hung 42 (1983), 101-109.). In this paper, we study the asymptotic behavior of a nonoscillatory solutions of a differential equation:We obtain some sufficient conditions which ensure that all the nonoscillatory solutions of (1) tend either to infinity or to zero as t . Our results generalize and improve some of the results of Parhi (Acta. Math. Hung 42 (1983), 101-109.).

作者孟繁伟

机构地区曲阜师范大学

出处《Annals of Differential Equations》 1995年第2期207-212,共6页 微分方程年刊（英文版）

分类号 O175 [理学—基础数学]

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1A. Tiryaki Department of Mathematics, Gazi University Faculty of Arts and Sciences Teknik Okullar, 06500 Ankara, Turkey S. (Yaman) Pasinlio■u Department of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkey.OSCILLATORY BEHAVIOUR OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER[J].Acta Mathematica Scientia,2001,21(2):182-188. 被引量：10
2N. Parhi P. Das(Department of Mathematics, Berhampur University, Bechampur-760007, India).OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER[J].Acta Mathematica Scientia,1998,18(1):95-106. 被引量：2
3Sanyi Tang Department of Computer and Mathematics,Hubei Institute for Nationalities,Enshi 445000,P.R.ChinaYanni Xiao Institute of Mathematics,Academia Sinica,Beijing 100080,P.R.China E-mail:xyn@math03.math.ac.cnJufang Chen Department of Mathematics,Shanxi Normal University,Xi’an 710062,P.R.China.Linearized Oscillations in Nonlinear Delay Difference Equations[J].Acta Mathematica Sinica,English Series,1999,15(4):569-574. 被引量：1
4A. Ramayyan(Dept. of Math., Madras Univ. P. G. Centre,Salem - 630 Oll. Tumil Nadu, India).ON NONOSCILLATORY SEQUENCES OVER DISCRETE HARDY FIELDS[J].Acta Mathematica Scientia,1994,14(1):100-106.
5Yu, Heng, Liu, Yuping.NONOSCILLATORY COMBINATION OF MAC CORMACK AND WARMING-BEAM SCHEMES FOR HYPERBOLIC CONSERVA-TION LAWS[J].Journal of Hydrodynamics,2000,12(2):101-106.
6赵柱,李万同.ASYMPTOTIC BEHAVIOR OFNONOSCILLATORY SOLUTIONS OF SECOND ORDER NEUTRAL NONLINEAR DIFFERENCE EQUATIONS[J].Annals of Differential Equations,1999,15(4):453-459. 被引量：1
7王其如.OSCILLATIONS OF FIRST ORDER NONLINEAR RETARDED DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1996,12(1):100-104.
8梁中超.NECESSARY AND SUFFICIENT CONDITIONS FOR STABILITY OF SECOND ORDER LINEAR OSCILLATIONS[J].Chinese Science Bulletin,1988,33(8):622-625.
9蒋建初.ASYMPTOTIC BEHMIOR OF MTH ORDER NEUTRAL DIFFERENCE EQUATION WITH FORCED TERM[J].Annals of Differential Equations,2000,16(4):330-336.
10Xin Xiao-kang, Yu Heng, Shen Yi-fanDepartment of Mechanics and Engineering Science, Fudan University, Shanghai 200433,P. R. China.A NEW NONOSCILLATORY CHARACTERISTICS SCHEME FOR HYPERBOLIC CONVECTION EQUATIONS[J].Journal of Hydrodynamics,1998,10(4):62-70.

Annals of Differential Equations

1995年第2期

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ASYMPTOTIC　BEHAVIOR　OF　NONOSCILLATORY　SOLUTIONS　OF　A　SECOND　ORDER　FUNCTIONAL　DIFFERENTIAL　EQUATIONS

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