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一类含有扰动项的Kirchhoff型方程解的多重性
Kirchhoff型方程 Nehari流形 扰动项 临界点理论
2022/3/11
考虑含有扰动项的非线性Kirchhoff型问题-(a+b∫Ω∣▽u∣2dx)Δu=f(x,u)+h(x)。在非线性项f适当的假设条件下,利用Nehari流形、临界点理论和一些分析技巧，研究一类含有扰动项的Kirchhoff型方程解的多重性。
力学专业的微积分学习
微积分 内容 意义 学习方法
2019/3/12
简单讨论了力学专业学习中微积分课程的内容、意义、作用和学习方法,是计划在北京大学出版社出版的《微积分导引》的序言。
研究了一类包含p-拉普拉斯算子、并具有Riemann-stieljes积分边界条件的分数阶微分方程的正解存在性.通过构造锥上全连续算子,采用单调迭代法得到了系统存在正解的充分条件.
随着近年来机器人在各行业领域的广泛应用，对机器人的动力学与控制性能不断提出新的要求，特别是对设计越来越复杂、操作越来越灵巧的智能机器人，要求其能够对目标轨迹实现高精度跟踪以满足实际工作需求. 因此，针对机器人多体系统对目标轨迹跟踪的任务需求，基于微分代数方程提出瞬时最优控制保辛方法. 首先，采用多体动力学绝对坐标建模方法建立机器人系统的普适动力学方程，即微分代数方程；然后，采用保辛方法将连续时间域...
We use the Pieri and Giambelli formulas of [BKT1, BKT3] and
the calculus of raising operators developed in [BKT2, T1] to prove a tableau
formula for the eta polynomials of [BKT3] and the Stanley sym...
THE CONNECTION BETWEEN REPRESENTATION THEORY AND SCHUBERT CALCULUS
CONNECTION BETWEEN REPRESENTATION SCHUBERT CALCULUS
2015/12/17
Our aim here is to describe a direct and natural connection between the representation theory of GLn and the Schubert calculus, which goes via the Chern-Weil
theory of characteristic classes. Indeed,...
The Spider Algorithm
Spider Algorithm
2015/8/26
One of the reasons complex analytic dynamics has been such a successful subject is the deep relation that has surfaced between conformal mapping, dynamics and combinatorics. The object of the spider a...
EXPONENTIAL THURSTON MAPS AND LIMITS OF QUADRATIC DIFFERENTIALS
Quadratic differential decomposition limit model iteration exponential map classification
2015/8/26
In the theory of iterated rational maps, the easiest maps to understand are postcritically finite: maps whose critical orbits are all periodic or preperiodic. These maps are also the most important ma...
A FIRST LOOK AT DIFFERENTIAL ALGEBRA.
Information Theoretic Limits on Learning Stochastic Differential Equations
Stochastic differential equation the coefficient
2015/8/21
Consider the problem of learning the drift coefficient of a stochastic differential equation from a sample path. In this paper, we assume that the drift is parametrized by a highdimensional vector. We...
讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论.
DIFFERENTIAL HARNACK ESTIMATES FOR PARABOLIC EQUATIONS
PARABOLIC EQUATIONS DIFFERENTIAL HARNACK
2015/8/17
Let (M, g(t)) be a solution to the Ricci flow on a closed Riemannian
manifold. In this paper, we prove differential Harnack inequalities for positive
solutions of nonlinear parabolic equ...
DIFFERENTIAL HARNACK ESTIMATES FOR BACKWARD HEAT EQUATIONS WITH POTENTIALS UNDER THE RICCI FLOW
HARNACK ESTIMATES WITH POTENTIALS UNDER THE RICCI FLOW
2015/8/17
In this paper, we derive a general evolution formula for possible Harnack quantities. As a consequence, we prove several differential Harnack inequalities
for positive solutions of backward hea...
高效、稳定的微分-代数方程数值求解方法是多体系统动力学领域的关键问题之一。该文针对多体系统动力学指标3微分-代数方程,对目前多体系统动力学中引入的隐式时域逐步积分方法进行了深入研究,提出了适用于一般质量矩阵的广义-α -S法,并结合约束投影方法,构造了广义-α -S投影法。该方法既能较好地保持系统总能量,又能较高程度地同时满足位移约束、速度级约束和加速度级约束,并且在步长较大时可稳定求解,计算效率...