三维具弱阻尼Schrǒdinger-Boussinesq方程组的周期解

In this paper the authors consider a model of the interaction of a nonlinear complex Schrdinger field and a real Boussinesq field in a 3D domain with the weakly damping which arises in the laser and plasma physics and prove the existence of the periodic solution.     

具放牧率的非线性生态模型的正概周期解(英文)

In this paper, we study the following nonlinear biological modeldx(t)/dt = x(t)[a(t)-b(t)x α (t)] + f(t, xt),by using fixed pointed theorem, the sufficient conditions of the existence of unique positive almost periodic solution for the above system are obtained, by using the theories of stability, the sufficient conditions which guarantee the stability of the positive almost periodic solution are derived.     

非线性Schrdinger-Boussinesq方程组的新精确解（英文）

通过使用改进的F-展开法得到了Schrdinger-Boussinesq方程组具有Jacobi椭圆函数的新精确解.同时在一些特殊的情况下,也得到了一些新的孤立波解.     

具无穷时滞退化中立型微分系统的周期解(英文)

In this paper,we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay.By using matrix measure and Krasnoselskii＇s fixed point theorem,we obtained the suffcient conditions of the existence of periodic solutions.     

非线性Schr(o)dinger-Boussinesq方程组的新精确解

通过使用改进的F-展开法得到了Schr(o)dinger-Boussinesq方程组具有Jacobi椭圆函数的新精确解. 同时在一些特殊的情况下, 也得到了一些新的孤立波解.     

变系数迭代方程的集值解(英文)

In this paper, we consider a second order multivalued iterative equation with variable coefficients and the results on increasing solution and decreasing solution are obtained.     

用扩展的F-展开法求耦合Schrdinger-Boussinesq方程组的精确解

本文利用扩展的F-展开法,针对耦合Schrdinger-Boussinesq方程组,求得了一系列完善的精确解,包含了周期波解、三角函数解、有理函数解.     

发展型p-Laplacian 方程组的周期解

In this paper, the authors study the existence of periodic solutions to an evolution p-Laplacian system. The authors prove a comparison principle of the system in general form. Then the existence of periodic solutions to the system of evolution p-Laplacian equations is obtained with the help of the comparison principle and the monotone iteration technique.     

具有脉冲的BAM型神经网络概周期解的存在性与稳定性

This paper discusses a class of the bidirectional associative memories（BAM） type neural networks with impulse.By using the Banach fixed point theory and some analysis technology,we obtain the existence of almost periodic solution and stability under some sufficient conditions.     

脉冲离散非线性Schr?dinger-Boussinesq方程组的统计解与分段Liouville型定理

本文研究脉冲离散非线性Schr?dinger-Boussinesq方程组的初值问题及其统计解的存在性.作者首先证明该脉冲问题的的整体适定性,然后证明解算子生成的过程存在拉回吸引子和一族不变Borel概率测度,接着给出该脉冲问题统计解的定义并证明其存在性.结果表明,该脉冲问题的统计解只关于时间分段地满足Liouville型定理.     

一类具多个偏差变元混合型p-Laplacian周期解(英文)

Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.     

耦合Schr(o)dinger-Boussinesq方程组的显式精确解

本文针对耦合Schrodinger-Boussinesq方程组，借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解．在极限情况下，还求出了对应的孤立波解．     

用扩展的F-展开法求耦合Schr(o)dinger-Boussinesq方程组的精确解

本文利用扩展的F-展开法,针对耦合Schr(o)dinger-Boussinesq方程组,求得了一系列完善的精确解,包含了周期波解、三角函数解、有理函数解.     

非线性耦合Klein-Gordon方程组和耦合Schr\"{o}dinger-Boussinesq方程组的双行波解

本文提出了一种全新复合$(\frac{G''}{G})$展开方法,运用这种新方法并借助符号计算软件构造了非线性耦合Klein-Gordon方程组和耦合Schr\"{o}dinger-Boussinesq方程组的多种双行波解,包括双双曲正切函数解,双正切函数解,双有理函数解以及它们的混合解. 复合$(\frac{G''}{G})$展开方法不但直接有效地求出了两类非线性偏微分方程的双行波解,而且扩大了解的范围.这种新方法对于研究非线性偏微分方程具有广泛的应用意义.     

无穷时滞Liénard方程的周期解(英文)

讨论具有无穷时滞Liénard型方程x+(?²F(x))/(?x²)x+g(t,x_t)=p(t)的周期解问题, 利用重合度理论得到了周期解存在的充分条件.     

耦合Schrdinger-Boussinesq方程组的显式精确解

本文针对耦合Schrodinger-Boussinesq方程组,借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解．在极限情况下,还求出了对应的孤立波解．     

一阶时标动态方程周期边值问题的正解(英文)

In this paper, the author studies the following nonlinear dynamic equation {x△(t) = r(t)x(σ(t)) + f(t, x(σ(t))), t ∈ [0, T ], x(0) = x(σ(T )). By applying and improving the generalized form of Leggett-Williams fixed point theorem, sufficient conditions are established for the existence of positive solutions.     

耗散的Klein-Gordon-Schr dinger方程组的周期解的存在性(英文)

本文运用Leray Schauder不动点定理和紧致性原理 ,证明了方程组周期解的存在性 .     

一类带有三维核的多点边值问题解的存在性(英文)

In this paper,a multi-point boundary value problems for a three order nonlinear deferential equation is considered.With the help of coincidence theorem due to Mawhin,a existence theorem is obtained.     

半无穷区间上二阶三点边值问题的多个正解的存在性(英文)

In this paper,we are concerned with the existence of multiple positive solutions to a second-order three-point boundary value problem on the half-line.The results are obtained by the Leggett-Williams fixed point theorem.