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1.
振荡器链的非成对交联   总被引:1,自引:0,他引:1  
本文考虑振荡链的非成对交联,包括单向交联和非成对双向交联,给出了锁相解的存在定理,并对其解的渐近性质作了分析。最后,用数值例子对非成对交联和成对交联作了一些比较分析。  相似文献   

2.
系统地研究了多重休假的Bernoulli反馈排队模型,采用嵌入Markov链的方法,给出系统的一步转移概率矩阵进而求得稳态队长分布,并对排队顾客数进行随机分解,得到附加队长的母函数.  相似文献   

3.
一类含双参数奇异脉冲微分方程的多解性结果   总被引:4,自引:0,他引:4  
徐西安 《数学学报》2002,45(4):803-810
本文考虑了一类含双参数奇异微分方程边值问题.首先证明了关于抽象算子的一个结果,然后应用到相应的奇异边值问题上,本质上推广了文献[5-8]的结果.  相似文献   

4.
许静  葛渭高 《应用数学》2001,14(4):116-120
本文用上,下解方法,根据Leray-Schauder不动点定理给出一类带有非线性边界条件的脉冲微分方程边值问题解的存在性定理。  相似文献   

5.
We establish the existence of at least three solutions in the presence of two lower and two upper solutions of some second order nonlinear three point boundary value problem of the type
  相似文献   

6.
In this paper, we provide sufficient conditions for the existence of at least three solutions to a three-point boundary value problem for higher-order ordinary differential equations. The nonlinear term f in the differential equation under consideration may depend on higher-order derivatives of arbitrary order and this is where the main novelty of this work lies. By applying the two pairs of upper and lower solutions method of Henderson and Thompson, as well as degree theory, the existence of at least three solutions of the problem is given.  相似文献   

7.
郭林  莫海平 《应用数学》2004,17(4):665-668
本文讨论了抽象空间中的一阶脉冲积分——微分方程的边值问题 ,利用上下解讨论了解的存在性 .  相似文献   

8.
A singularly perturbed boundary value problem with weak nonlinearity in the case when the degenerate equation has a multiple root is studied. The asymptotic approximation of the solution is constructed by the modified boundary layer function method. Based on the comparison principle, there exist multizonal boundary layers in the neighborhood of the endpoints. The existence of a solution is proved by using the method of asymptotic differential inequalities.  相似文献   

9.
This paper deals with the traveling wave fronts of a delayed population model with nonlocal dispersal. By constructing proper upper and lower solutions, the existence of the traveling wave fronts is proved. In particular, we show such a traveling wave front is strictly monotone.  相似文献   

10.
By using the upper- and lower-solution method of partial functional differential equations and the oscillation theory of functional differential equation, the oscillation of a population equation with diffusion and delay is studied and a sufficient condition for all positive solutions of the equation to oscillate about the positive equilibrium is obtained. Finally, a model arising from ecology is given to illustrate the obtained results.  相似文献   

11.
Comparison arguments are applied to derive decreasing sequences of upper solutions and increasing sequences of lower solutions for a class of nonlinear elliptic equations. The monotonicity of the two sequences is proven. These polynomial sequences are obtained by applying new algorithms and solving linear differential equations. The obtained upper and lower solutions are analytic and have closed forms. Different examples are presented to explore the effectiveness of the new algorithms. The presented ideas and algorithms can be extended to deal with different classes of equations.  相似文献   

12.
莫嘉琪 《应用数学》1997,10(4):111-113
本文研究了一类非局部反应扩散问题.利用上、下解,讨论了相应问题解的存在唯一性及其渐近性态.  相似文献   

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