共查询到20条相似文献,搜索用时 15 毫秒
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Maria V. DeminaNikolai A. Kudryashov 《Applied mathematics and computation》2011,217(23):9849-9853
The problem of constructing and classifying exact elliptic solutions of autonomous nonlinear ordinary differential equations is studied. An algorithm for finding elliptic solutions in explicit form is presented. 相似文献
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高阶非线性中立型微分方程的周期解 总被引:2,自引:0,他引:2
房辉 《纯粹数学与应用数学》2000,16(2):14-18,25
利用k-集压缩延拓理论 ,研究了一类高阶非线性中立型微分方程周期解的存在性 ,推广了文 [1 ],[2 ]的相应结果 . 相似文献
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Oleg Palumbíny 《Czechoslovak Mathematical Journal》1999,49(4):779-790
The paper deals with the oscillation of a differential equation L
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y + P(t)L
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y + Q(t)y 0 as well as with the structure of its fundamental system of solutions. 相似文献
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The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of
the third order with deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a
comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity
f are related to its behavior only in a neighbourhood of zero and/or of infinity. 相似文献
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By constructing a class of solutions to the integral inequality for t t0 large enough, where 0<A1a(τ)A2<+∞ and λ>1, that tend to zero as t→+∞ we address an open problem in the theory of nonlinear oscillations. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2010,15(10):2778-2790
Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for finding exact solutions. We show that most of these methods are conceptually identical to one another and they allow us to have only the same solutions of nonlinear ordinary differential equations. 相似文献
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Consider the forced higher-order nonlinear neutral functional differential equation
where n,m , 1 are integers, , i + = [0,), C,Q
i, g C([t
0,), ), fi C(, ), (i = 1, 2, ...;, m). Some sufficient conditions for the existence of a nonoscillatory solution of above equation are obtained for general Q
i(t) (i = 1, 2, ... ,m) and g(t) which means that we allow oscillatory Qi(t) (i = 1, 2, ... ,m) and g(t). Our results improve essentially some known results in the references.Project was supported by the Special Funds for Major State Basic Research Projects (G19990328) and Hunan Natural Science Foundation of P.R. China (10371103). 相似文献
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N. Euler 《Journal of Mathematical Analysis and Applications》2003,287(2):473-486
We propose a method for constructing first integrals of higher order ordinary differential equations. In particular third, fourth and fifth order equations of the form are considered. The relation of the proposed method to local and nonlocal symmetries are discussed. 相似文献