共查询到20条相似文献,搜索用时 7 毫秒
1.
Mustafa Hasanbulli 《Applied mathematics and computation》2010,215(12):4392-4399
By refining the standard integral averaging technique, we obtain new oscillation criteria for a class of second order nonlinear neutral differential equations of the form
(r(t)(x(t)+p(t)x(t-τ))′)′+q(t)f(x(t),x(σ(t)))=0. 相似文献
2.
In the present paper, we consider the oscillation of a class of self‐adjoint fourth order differential equation. Some oscillation and non‐oscillation criteria on a perturbation equation of Euler differential equation are given. In particular, we find the exact value of a constant in some oscillation criteria, which has answered the open problem presented by Do?lý in 2004. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
3.
中立型二阶非线性微分方程振动性的判据 总被引:7,自引:0,他引:7
Abstract. In this paper ,the oscillation criteria for the solutions of the nonlinear differential e-quations of neutral type of the forms: 相似文献
4.
5.
L. Erbe 《Annali di Matematica Pura ed Applicata》1972,94(1):257-268
Summary Various sufficient conditions are obtained which guarantee that all continuable solutions of (1.1) y″+q(t)y′+p(t)f(y)=0 are
oscillatory. No explicit sign assumptions are made on p(t) although certain integral conditions are assumed to hold with regard
to f(y), p(t) and q(t). Examples are given of the form p(t) = λ/tμ + (βsint)/tα, λ, β, μ, α>0.
This research was supported by NRC Grant A-7673 and CMC Summer Research Grant.
Entrata in Redazione il 4 settembre 1971. 相似文献
6.
A. K. Tripathy 《Mathematica Slovaca》2008,58(2):221-240
Oscillatory and asymptotic behaviour of solutions of a class of nonlinear fourth order neutral difference equations of the
form
and
are studied under the assumption , for various ranges of p(n). Sufficient conditions are obtained for the existence of bounded positive solutions of (NH).
相似文献
7.
8.
Qi-Ru Wang 《Acta Mathematica Hungarica》2004,102(1-2):117-140
For all solutions of a class of second order nonlinear damped differential equations, new oscillation criteria are established. Asymptotic behavior for forced equations is also discussed. 相似文献
9.
Oscillation criteria for a class of second-order neutral delay differential equations 总被引:1,自引:0,他引:1
B. Karpuz J.V. Manojlovi
.
calan Y. Shoukaku 《Applied mathematics and computation》2009,210(2):303-312
In this article, we investigate oscillation and asymptotic behaviour of all solutions of a class of neutral delay differential equations of second-order with several positive and negative coefficients having the formwhere R,P,Q are bounded beginning segments of positive integers, , , are delay functions and f is a continuous function. Our results improve and extend the recent results given in the papers [J. Manojlović, Y. Shoukaku, T. Tanigawa, N. Yoshida, Oscillation criteria for second-order differential equations with positive and negative coefficients, Appl. Math. Comput. 181 (2006) 853–863] and [A. Weng, J. Sun, Oscillation of second order delay differential equations, Appl. Math. Comput. 198 (2) (2008) 930–935]. 相似文献
10.
Pui-Kei Wong 《Annali di Matematica Pura ed Applicata》1969,81(1):331-346
Summary In this paper we study the nonlinear fourth order differentiai equation uiv±F(u, v)u=0, where F is a pssitive monotone function of u. Asymptotic behaviour of certain solutions are treated in sections 2 and 4
while a two point boundary value problem is studied in section 3.
Entrata in Redazione il 26 agosto 1968. 相似文献
11.
带有振动系数的一类高阶中立型非线性受迫微分方程的振动准则 总被引:1,自引:0,他引:1
在本文中,我们获得形如[y(t) l∑j=1pj(t)y(σj(t))](n) ∫0q(t,s)f(y(t s))dσ(s)=h(t)的带有振动系数的一类高阶中立型非线性受迫微分方程的振动准则. 相似文献
12.
Using the integral average method, we establish some oscillation criteria of Kamenev type and Yan type for the nonlinear system of differential equation where the functions bi(t) (i = 1, 2) are nonnegative and summable on each finite segment of the interval Z0, ∞), λi > 0 (i = 1,2) with λ1 λ2 = 1. 相似文献
13.
Zhaowen Zheng 《Acta Mathematica Hungarica》2006,110(3):241-252
Summary Using the integral average method, we give some new oscillation criteria for the second order differential equation with damped
term (a(t)Ψ(x(t))K(x'(t)))'+p(t)K(x'(t))+q(t)f(x(t))=0, t<span style='font-size:10.0pt; font-family:"Lucida Sans Unicode"'>≧t0. These results improve and generalize the oscillation criteria in<span lang=EN-US style='font-size:10.0pt;mso-ansi-language:EN-US'>[1],
because they eliminate both the differentiability of p(t) and the sign of p(t), q(t). As a consequence, improvements of Sobol's type oscillation criteria are obtained. 相似文献
14.
In this paper, we are concerned with the oscillation of third order nonlinear delay differential equations of the form
(r2(t)(r1(t)y′)′)′+p(t)y′+q(t)f(y(g(t)))=0. 相似文献
15.
Qi-Ru Wang 《Applied Mathematics Letters》2002,15(8):1218-1033
This paper discusses a class of first-order neutral differential equations with variable coefficients and variable deviations. A series of sufficient conditions are established for all solutions of the equations to be oscillatory, and some of the conditions are sharp. 相似文献
16.
17.
N. Parhi 《Journal of Mathematical Analysis and Applications》2003,284(2):756-774
Sufficient conditions are obtained under which all solutions of
(∗) 相似文献
18.
Said R. Grace Ravi P. Agarwal John R. Graef 《Journal of Applied Mathematics and Computing》2009,30(1-2):75-88
The authors investigate the oscillatory behavior of all solutions of the fourth order functional differential equations $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})+q(t)f(x[g(t)])=0$ and $\frac{d^{3}}{dt^{3}}(a(t)(\frac{dx(t)}{dt})^{\alpha})=q(t)f(x[g(t)])+p(t)h(x[\sigma(t)])$ in the case where ∫ ∞ a ?1/α (s)ds<∞. The results are illustrated with examples. 相似文献
19.
W. J. Coles 《Annali di Matematica Pura ed Applicata》1969,82(1):123-133
Summary A necessary and a sufficient condition are given for oscillation of all solutions of y″+f(t, y)=0. We sequire that a(t)α(y)≤f(t,
y) if y>0, and f(t, y)<-b(t)β(y) if y<0, together with continuity and integrability assumptions on a, b, α, and β. Of speciat
interest here is the relaxing of conditions a≥0, b≥0 in Machi - Wong [6].
Entrata in Redazione il 9 ottobre 1968.
Supported by NASA Research Grant NGR-45-003-038. 相似文献
20.
Gary D Jones 《Journal of Mathematical Analysis and Applications》1978,64(3):620-628
We define various ways in which linear-quadratic control problems can be robust and show that there are conditions which are simultaneously necessary and sufficient for robust problems to have a solution when such conditions do not exist for nonrobust problems. 相似文献