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1.
Eva Špániková 《Czechoslovak Mathematical Journal》2000,50(4):879-887
The purpose of this paper is to obtain oscillation criteria for the differential system
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2.
Oscillatory properties of the second order nonlinear equation
are investigated. In particular, criteria for the existence of at least one oscillatory solution and for the global monotonicity properties of nonoscillatory solutions are established. The possible coexistence of oscillatory and nonoscillatory solutions is studied too. 相似文献
3.
This paper is concerned with a class of neutral difference equations of second order with positive and negative coefficients
of the forms
where τ, δ and σ are nonnegative integers and {p
n
}, {q
n
} and {c
n
} are nonnegative real sequences. Sufficient conditions for oscillation of the equations are obtained.
Research of the first author was supported by Department of Science and Technology, New Delhi, Govt. of India, under BOYSCAST
Programme vide Sanc. No. 100/IFD/5071/2004-2005 Dated 04.01.2005. 相似文献
4.
5.
The solutions of the dfferential equation Lnx + a0(t)x = 0, where Ln is a disconjugate operator and a0 is of one sign, are studied according to their behavior as t → ∞. We prove equivalence theorems between solutions of this equation and its adjoint in terms of property A and property B. These theorems generalize the results known for n = 3 and for odd order binomial equations. Some applications are given too. 相似文献
6.
Mauro Marini 《Journal of Mathematical Analysis and Applications》2004,295(2):459-472
The problem of oscillation of a second order nonlinear difference system is considered and conditions for oscillation are derived by means of a complete analysis of nonoscillatory solutions. The case of systems with deviating arguments is also analyzed, and the results are shown to significantly generalize some existing ones. 相似文献
7.
给出了一类三阶非线性微分方程存在非振荡解的充分条件，使得Parhi准则更加一般化。在一些特殊情况下，这些结论适合于更弱的条件。 相似文献
8.
OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER 
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下载免费PDF全文 N. Parhi P. Das 《数学物理学报(B辑英文版)》1998,18(1)
1IntroductionInthispaperwedealwithoscillatoryandnonoscillatorybehaviourofsolutionsofnonlinearthirdorderdifferentialequationsoftheformwherea,b,cEC([er,co),R),rrER,fEC(R,R)suchthatac2P>0fory/0and7>0isaquotientofoddintegers.From\"Theoryofequations\"tsee[1],itfollowsthattheequationwithconstantcoefficientsMoreover,allnonoscillatorysolutionsof(1.3)tendtozeroifandonlyifequatioll(l.3)hasanoscillatorysolution.Theseobservationsarefoundtobetruetoalargeextentformoregeneralequationsoftheformwherealb,cE… 相似文献
9.
A. Tiryaki Department of Mathematics Gazi University Faculty of Arts Sciences Teknik Okullar Ankara Turkey S. 《数学物理学报(B辑英文版)》2001,21(2):182-188
1 IntroductionIn this paper we deal with the oscilIatory behaviour of solutions of nonlinear third orderdifferential equations of tlie formandwhere pt q E C([a,co),R) la E R, f E C(R,R) such that ap 3 g > 0 for V / 0 and 7 > 0 isa quotient of odd integers.By a proper solutiOn of (1) or (2) we mean a solution y of the equation which exi8ts on somehalf line [Tg, oo) 5 [a, oo), where Tv depens on y, and is llontirivial in some neighbourhood ofinfinity that is y(t) / 0 in [t., oo) fOr some t… 相似文献
10.
11.
Sufficient conditions are established for the oscillation and nonoscillation of the system 相似文献
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14.
61.IntroductionWeconsiderthefourthorderdifferentialequationx(`)(t)-p(t)lx(t)I'sgnx(t)=O,(1.l)wherea>l,isconstant,andp(t)ispositivecontinuousfunctionon[t,,oo),to>o.Werestrictourattentiontothosenontrivialsolutionsx(t)of(1.1)whichexistonsomehalf-[ine[T:,co)cy[t,,oo),suchasolutioniscalledapropersolutionof(1.l).ApropersolutioniscalledoscillatoryifithasarbitrarilylargezerosFotherwiseitiscallednonoscillatory.Wecon-sidertheoscillationandnonoscillationofpropersolutionsof(l,l).WeletEdenotethesetofall… 相似文献
15.
In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation
where
(i) r,c ∈ C([t
0, ∞), ℝ := (− ∞, ∞)) and r(t) > 0 on [t
0, ∞) for some t
0 ⩾ 0;
(ii) Φ(u) = |u|p−2
u for some fixed number p > 1.
We also generalize some results of Hille-Wintner, Leighton and Willet. 相似文献
16.
17.
贺铁山 《纯粹数学与应用数学》2006,22(2):232-237
研究了一类高阶非线性中立型差分方程组非振动解的存在性.利用Banach空间的压缩映象原理,获得了该方程组存在非振动解的充分条件. 相似文献
18.
Sufficient conditions are established for the oscillation of proper solutions of the system
where f
i
:+ × 2m (i=1,2) satisfy the local Carathéodory conditions and
i
,
i
:+ +(i=1,...,m) are continuous functions such that
i
(t) t for
. 相似文献
19.
Bhagat Singh 《Czechoslovak Mathematical Journal》2000,50(3):627-639
Qualitative comparison of the nonoscillatory behavior of the equations
and
is sought by way of finding different nonoscillation criteria for the above equations, L
n is a disconjugate operator of the form
Both canonical and noncanonical forms of L
n have been studied. 相似文献
20.
Sufficient conditions for oscillation of a certain class of nonlinear third-order differential equations are found. 相似文献