共查询到20条相似文献,搜索用时 15 毫秒
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Some new oscillation criteria are established for the second-order matrix differential system(r(t)Z′(t))′ p(t)Z′(t) Q(t)F(Z′(t))G(Z(t)) = 0, t ≥ to > 0,are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0, ∞), rather than on the whole half-line. The results weaken the condition of Q(t) and generalize some well-known results of Wong (1999) to nonlinear matrix differential equation. 相似文献
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《Journal of Computational and Applied Mathematics》2007,205(1):231-238
By employing the generalized Riccati technique and the integral averaging technique, new interval oscillation criteria are established for second-order nonlinear differential equations. 相似文献
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Qi Long 《Applied mathematics and computation》2009,212(2):357-365
By employing a class of new functions Φ=Φ(t,s,l) and a generalized Riccati technique, some new oscillation and interval oscillation criteria are established for the second-order nonlinear differential equation
(r(t)y′(t))′+Q(t,y(t),y′(t))=0. 相似文献
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Lihua Liu 《Journal of Computational and Applied Mathematics》2009,231(2):657-663
In this paper, several new oscillation criteria for the second-order nonlinear neutral delay differential equation
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New Kamenev-type oscillation criteria for second-order nonlinear differential equations with damping 总被引:1,自引:0,他引:1
Yuan Gong Sun 《Journal of Mathematical Analysis and Applications》2004,291(1):341-351
Some new oscillation criteria are established for the nonlinear damped differential equation (r(t)y′)′+p(t)y′+q(t)f(y)=0 that are different from most known ones in the sense that they are based on a class of new functions Φ(t,s,r) defined in the sequel. Our results are sharper than some previous results which can be seen by the examples at the end of this paper. 相似文献
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New oscillation criteria for a class of second-order nonlinear forced differential equations 总被引:1,自引:0,他引:1
By using classical variational principle and averaging technique, new oscillation criteria are established for second-order nonlinear forced differential equations
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In this paper, we are concerned with the oscillations in a class of forced second-order differential equations with nonlinear damping terms. By using classical variational principle and averaging technique, several new interval oscillation criteria for the equations are established, which improve and extend some known results. Example is also given to illustrate the results. 相似文献
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Martin Bohner Said R. Grace Irena Jadlovská 《Mathematical Methods in the Applied Sciences》2020,43(17):10041-10053
This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable. 相似文献
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Interval criteria for oscillation of second-order half-linear differential equations 总被引:1,自引:0,他引:1
By employing a generalized Riccati technique and an integral averaging method, interval oscillation criteria are established for the second-order half-linear differential equation [r(t)|x′(t)|α−1x′(t)]′+q(t)|x(t)|α−1x(t)=0. These criteria are different from most known ones in the sense that they are based on information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. They also extend, improve, and complement a number of existing results, and can be applied to extreme cases such as . In particular, several interesting examples that illustrate the importance of our results are included. 相似文献
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Devrim akmak 《Journal of Mathematical Analysis and Applications》2004,300(2):187-425
We present new interval oscillation criteria related to integral averaging technique for certain classes of second-order nonlinear differential equations which are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0,∞), rather than on the whole half-line. They generalize and improve some known results. Examples are also given to illustrate the importance of our results. 相似文献
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Yuri V. Rogovchenko Fatoş Tuncay 《Nonlinear Analysis: Theory, Methods & Applications》2008,69(1):208-221
For a second-order nonlinear differential equation with a damping term, we obtain new oscillation criteria without an assumption that has been required for related results reported in the literature over the last two decades. Two approaches refining the standard integral averaging technique suggested in the paper can be used to derive a variety of simpler oscillation theorems for different classes of nonlinear differential equations, and both sets of oscillation criteria established in the paper are of independent interest. Several examples are provided to illustrate the relevance of the new theorems. 相似文献
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D. Çakmak 《Ukrainian Mathematical Journal》2008,60(5):799-809
Some new oscillation criteria are given for general nonlinear second-order ordinary differential equations with damping of
the form x″+ p ( t ) x′+ q ( t ) f ( x ) = 0, where f is monotone or nonmonotone. Our results generalize and extend some earlier results of Deng.
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 694–700, May, 2008. 相似文献
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In this paper, oscillation criteria for the nonlinear second-order ordinary differential equation
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In this paper, we consider the second-order nonlinear differential equation where σ > 0 is a constant, a C(R, (0, ∞)), q C(R, R), f C(R, R), xf(x) > 0, f′(x) ≥ 0 for x ≠ 0. Some new sufficient conditions for the oscillation of all solutions of (*) are obtained. Several examples which dwell upon the importance of our results are also included. 相似文献
[a(t)|y′(t)|σ−1y′(t)|′+q(t)f(y(t))=r(t)
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In this paper, we are concerned with oscillations in a class of forced second-order differential equations with nonlinear damping terms. By using a classical variational principle and an averaging technique, several new interval oscillation criteria for the equations are established, which improve and extend some known results. An example is also given to illustrate the results. 相似文献
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M. K. Bugir 《Ukrainian Mathematical Journal》1990,42(4):404-409
Oscillation conditions are obtained for all the solutions of the equation Lku + c(x, u)=f(x), where L is the Laplace-Beltrami operator in Euclidean and hyperbolic spaces.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 4, pp. 458–464, April, 1990. 相似文献