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研究一类多滞量非线性双曲型偏泛函微分方程解的振动性,借助广义Riccati变换和微分不等式技巧,获得了该类方程振动的若干新的充分条件,同时也给出了实际应用的例子. 相似文献
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考虑一类二阶非线性泛函微分方程,得到了方程的解的导数振动的一个充分条件,推广和改进了Lee和Yeh的相关结论. 相似文献
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Yao-junYe 《应用数学学报(英文版)》2004,20(1):93-100
In this paper we show the decay of solutions to the initial-boundary value problem for somenonlinear hyperbolic equation with a nonlinear dissipative term,by using a difference inequality. 相似文献
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含分布滞量的非线性双曲偏微分方程组解的振动性 总被引:2,自引:0,他引:2
研究了一类具有连续分布时滞变量的非线性双曲型偏微分方程组解的振动性.获得了该方程组在Robin边值条件和Dircichlet边值条件下解振动的充分条件. 相似文献
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非线性中立双曲型泛函微分方程解的振动判据 总被引:5,自引:0,他引:5
讨论一类多滞量非线性中立双曲型泛函微分方程解的振动性质,获得了其一切解振动的充分条件;指出了与普通双曲型偏微分方程质的差异。 相似文献
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曹彩霞 《数学的实践与认识》2008,38(12):214-215
研究了一类非线性滞后型泛函微分方程周期解的存在性问题.通过Ляпунов方法给出了存在周期解的充分条件和时滞范围的简明表达式,并推广了若干已知结果. 相似文献
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On Cauchy Problem for First Order Nonlinear Functional Differential Equations of Non-Volterra's Type
On the segment I = [a, b] consider the problem ú(t)=f(u)(t), u(a)=c, where f: C(I, )rightarrow L(I, ) is a continuous, in general nonlinear operator satisfying Carathéodory condition, and c . The effective sufficient conditions guaranteeing the solvability and unique solvability of the considered problem are established. Examples verifying the optimality of obtained results are given, as well. 相似文献
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B. P. Paneah 《Functional Analysis and Its Applications》2003,37(1):46-60
In this paper, some solvability problems for functional equations of the form
are studied. Here I is a finite closed interval in , F is an unknown continuous function,
and
are given continuous maps of I into itself, and
, and
are real-valued continuous functions on I. Such equations are of interest not only by themselves as an object of analysis, but they are also a necessary link in solving various problems in such diverse fields as integral and functional equations, measure theory, and boundary problems for hyperbolic differential equations. The major part of the proofs is based on the new results in the theory of dynamical systems generated by a noncommutative semigroup with two generators. 相似文献
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建立了三阶非线性微分方程…x+φ(x,x.,¨x)¨x+f(x,x.)=p(t,x,x.,¨x)的一切解有界和收敛到零的充分条件. 相似文献
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本文考虑一类具参数的非线性中立泛函微分方程,利用Leggett-Williams不动点定理得到该方程三个反周期解的存在充分条件. 相似文献
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BAI Shui-zhou 《数学季刊》2004,19(4)
In this paper we study the oscillation of the solutions of higher-order functional differential equations, and have given the new integral conditions when equation (1) is oscillatory and extended some known results.x(n)(t) p(t)x(g(t)) = 0, (1)where n is even number, p(t) ∈ C(R, [0, ∞)), g(t) ∈ C(R; R), g(t) f55 t,. 相似文献