一类二阶微分方程的无穷周期解

通过临界点理论和Z2不变群指标理论,证得I(x)有无穷多个临界点,再由变分原理可得方程(2)与方程(3)等价,在改变条件的情况下,得出了一在二阶泛函微分方程存在无穷多个周期解.     

n个无关变元的欧阳型离散不等式

文章建立了新的关于n个无关变元的Ou-Iang型离散不等式,所得结果不仅推广和改进了已有的相关结果,并在研究差分方程解的稳定性理论上起着重要作用.     

Ostrowski型不等式的伙伴的加权推广

通过建立二阶可微函数的积分恒等式，对于具有绝对连续导函数的函数，给出了Ostrowski型不等式的伙伴的一个加权推广．     

Dissipative Control of the State Delayed Systems

1　 IntroductionSince the notion of dissipative system was introduced by Willems ( 1 972 a) [1 ] ,andsubsequently generalized by Hill and Moylan( 1 980 ) [2 ] ,it has played an important role insystems,circuits,and control.Dissipativeness is a generalization of the concept ofpassivity in electrical network and otherdynamical systems which dissipate energy in someabstract sense.Applications of dissipativeness in the stability analysis of linear systemswith certain nonlinear feedback were first…     

A self-adaptive synchronization controller for Liu chaotic systems

A kind of synchronization controller for Liu chaotic systems whose nonlinear components are subject to Lipschitz condition was proposed. By using Lyapunov function and linear matrix inequality technique, a self-adaptive synchronization controller was constructed for Liu chaotic systems. There are two components of our derived synchronization controller: linear and nonlinear component. Linear component is composed of errors of the state variables between driving-systems and responding-stems, and nonlinear co...     

加权Ostrowski型不等式

对于其导数的绝对值的幂具有凸性的函数，给出一些加权的Ostrowski型不等式．对于具有一阶有界导函数的函数，也给出一个加权的Ostrowski型不等式．     

向量映射的广义拟凸性及应用

通过研究广义拟凸的向量映射的一些性质，讨论了向量极小极大不等式，改进和推广了相关文献中的主要结果．     

Some inequalities for the L p -mixed quermassintegrals

Wuhan University Journal of Natural Sciences - In this paper, a cyclic inequality and a monotonic inequality of L p -mixed quermassintegrals are established. Meanwhile, we obtain an inequality for...     

一类二阶中立型微分不等式最终正解的不存在性

研究一类二阶非线性中立型微分不等式,利用广义Riccati变换、平均技巧以及微分不等式理论,给出了该类不等式最终正解不存在的若干充分条件.     

一类p-Laplacian方程解的存在性

文章主要利用扰动方法结合Calderon-Zydmound不等式和Schauder不动点定理研究了一类p-Laplacian方程:-Δpu+f(x,u,u)=h(x),u∈W1,0 p(Ω),对f做合适的假设,得到这类方程弱解的存在性。