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Periodic and Subharmonic Solutions of a Class of Superquadratic Hamiltonian Systems;

一类“超二次”Hamilton系统的周期解和次调和解

Some existence theorems are obtained for subharmonic solutions of a class of local non-quadratic Hamiltonian systems by using minmax methods.

运用极小极大方法得到一类局部非二次的Hamilton系统的次调和解的存在性定理。

The subharmonic solutions of the system can be obtained by using Mountain Pass Lemma.

对每个k∈N,利用山路引理的一个变形,可以证明上述系统存在非平凡的2kT-周期解(即次调和解)。

In this paper,the existence of harmonic solutions for second order n- Dimensional p-Laplacian equations with a deviating argument is studied by using the topological degree theory.

本文研究了一类具偏差变元的二阶n-维p-Laplacian方程调和解的存在性,在对阻尼项不作限制的前提下,利用拓扑度理论得到了存在调和解的新条件,改进了一些已有的结果。

In this paper, the existence of harmonic solutions for the n-dimensional Lienard equations with delay is studied by using coincidence degree theory.

本文利用迭合度理论研究了具有时滞的n维Lienard型方程调和解的存在性,在对阻尼项不作限制的前提下,给出了存在调和解的条件。

In the paper, we will prove the existence of harmonic solution and infinitely many subharmonic solutions for Duffing equationx + arctan x = p(t), where continuous 2π-periodic function p(t) satisfie

本文证明了Duffing方程x+arctan x=p(t)的调和解和无穷多的次调和解的存在 性,其中周期的2π连续函数p(t)满足|p(t)|<π/2,(?)t∈R。

Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.

针对摆型振动模型中的数学问题,分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。

The existence of odd-harmonic solutions for a second order pendulum-type oscillation equation was studied.

研究了二阶摆型振动方程奇调和解的存在性。

In this paper, the existence and uniqueness of odd-harmonic solutions for second order Duffing equation x″+cx′+g(t,x)=e(t) are studied using Leray-Schauder degree theory under asymptotic nonuniform condition γ(t)≤g_x(t,x)≤Γ(t), such that a crossing of the zero eigenvalue is allowed.

讨论了二阶Duffing方程x″+cx′+g(t,x)=e(t)的奇调和解,利用Leray Schauder度理论,在可跨0特征值的渐近非一致条件γ(t)≤gx(t,x)≤Γ(t)下,得到了所讨论方程奇调和解的存在唯一性定理;基于此,还讨论了方程x″+g(t,x)=e(t)具有对称性的奇调和解的存在性和唯一性。

Periodic and Subharmonic Solutions of Second-order Hamiltonian Systems;

二阶Hamilton系统的周期解和次调和解

Periodic and Subharmonic Solutions for a Class of Second Order Hamiltonian Systems

一类二阶Hamilton系统的周期解和次调和解

Periodic and Subharmonic Solutions of a Class of Superquadratic Hamiltonian Systems;

一类“超二次”Hamilton系统的周期解和次调和解

Existence of Subharmonic Solutions for a Class of Subquadratic Hamiltonian Systems;

一类次二次Hamilton系统的次调和解的存在性

Subharmonic Solutions for Subliner Second-order Hamiltonian Systems with Impacts;

次线性二阶碰撞哈密顿系统的次调和解

Infinitely Many Subharmonic Solutions for One-dimensional p-sublinear Laplacian Equation

一维p-次线性Laplace方程的无穷多次调和解

The Existence of Periodic and Subharmonic Solutions of Several Classes of Higher Order Difference Equations;

几类高阶差分方程周期解与次调和解的存在性

Periodic and Subharmonic Solutions for a Class of P-Laplacian Systems

一类P-Laplacian系统周期解及次调和解的存在性

Tability of Ship Parametrical-Highly Excitation Dynamics System

船舶参—强横摇动力学系统的调和解分岔与次调和解分岔

Homoclinic Orbits and Subharmonics for a Class of ρ-Laplace Difference Equations

一类ρ-Laplace差分方程的同宿轨和次调和解

This paper is to consider subharmornic solutions for a class of nonautonomous second order systems.

本文主要研究一类二阶方程组的次调和解。

Homoclinic orbits and subharmonics for a class of p-Laplace difference equations

一类p-Laplace差分方程的同宿轨与次调和解

Periodic and Subharmonic Solution of a Class of Hamiltonian Systems and Nontrivail Solutions of Elliptic Boundary Value Problems;

一类Hamilton系统的次调和解与周期解和椭圆型边值问题的非平凡解的存在性

Nontrivial Solutions of Hamiltonian Systems with Lagrangian Boundary Conditions and Brake Subharmonic Solutions of Hamiltonian Systems

Hamilton系统的Lagrange边值问题解和次调和闸解

Regularity for very weak solutions to A-harmonic equation

一类非齐次A-调和方程很弱解的正则性

The Multiple Solutions for the Nonhomogeneous p-harmonic Equations with the Navier Boundary Value Conditions

带Navier边值条件的非齐次p-调和方程的多解性

The act of reconciling.

调解调停调和的行为

Local and global two-weight norm inequalities for solutions to the nonhomogeneous A-harmonic equation

关于一类非齐次A-调和方程解的局部和全局的双权范数不等式(英文)