Inverse Spectral Problem for Sturm-Liouville Operator with Boundary and Jump Conditions Dependent on the Spectral Parameter

In this paper, the inverse spectral problem of Sturm-Liouville operator with boundary conditions and jump conditions dependent on the spectral parameter is investigated. Firstly, the self-adjointness of the problem and the eigenvalue properties are given, then the asymptotic formulas of eigenvalues and eigenfunctions are presented. Finally, the uniqueness theorems of the corresponding inverse problems are given by Weyl function theory and inverse spectral data approach.

Inverse nodal problem for the Sturm-Liouville operator with a weight

In this work,we consider the inverse nodal problem for the Sturm-Liouville problem with a weight and the jump condition at the middle point.It is shown that the dense nodes of the eigenfunctions can uniquely determine the potential on the whole interval and some parameters.

Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues

Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell＇s uniqueness theorem （see J. Math. Phys. 28, 1987）.

Inverse Nodal Problems for the Sturm-Liouville Operator with Some Nonlocal Integral Conditions

In this paper, we study three inverse nodal problems for the Sturm-Liouville operator with different nonlocal integral conditions. We get the conclusion that the potential function can be determined by a dense nodal subset uniquely. And we present some constructive procedures to solve the inverse nodal problems.

EXISTENCE OF SOLUTIONS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS FOR NONLINEAR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES

Abstract In this paper, the fixed point theorem is applied to investigate the existence of solutions of Sturm Liouville boundary value problems for nonlinear second order impulsive differential equations in Banach spaces.

具有勢壘的Sturm-Liouville算子的特徵值和特徵函數

We aim to find the eigenvalues and eigenfunctions of the barrier potential case for Strum-Liouville operator on the finite interval [0,π] when λ > 0. Generally, the eigenvalue problem for the Sturm-Liouville operator is often solved by using integral equations, which are sometimes complex to solve, and difficulties may arise in computing the boundary values. Considering the said complexity, we have successfully developed a technique to give the asymptotic formulae of the eigenvalue and the eigenfunction for Sturm-Liouville operator with barrier potential. The results are of significant interest in the field of quantum mechanics and atomic systems to observe discrete energy levels.

On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions

The boundary value problem with a spectral parameter in the boundary conditions for a polynomial pencil of the Sturm-Liouville operator is investigated. Using the properties of the transformation operators for such operators, the asymptotic formulas for eigenvalues of the boundary value problem are obtained.

Effects of Rotor Solidity on the Performance of Impulse Turbine for OWC Wave Energy Converter

Impulse turbine, working as a typical self-rectifying turbine, is recently utilized for the oscillating water column（OWC） wave energy converters, which can rotate in the same direction under the bi-directional air flows. A numerical model established in Fluent is validated by the corresponding experimental results. The flow fields, pressure distribution and dimensionless evaluating coefficients can be calculated and analyzed. Effects of the rotor solidity varying with the change of blade number are investigated and the suitable solidity value is recommended for different flow coefficients.

L^1-uniqueness of Sturm-Liouville operators

In this paper, we give two sufficient and necessary conditions for the L1-uniqueness of one-dimensional Sturm-Liouville operator Lf = af″ + bf′- V f, f∈D = C 0 ∞ (I), where I is an open interval of R and V≥0.

INVERSION OF TRACE FORMULAS FOR A STURM-LIOUVILLE OPERATOR

This paper revisits the classical problem“Can we hear the density of a string?”,which can be formulated as an inverse spectral problem for a Sturm-Liouville operator.Instead of inverting the map from density to spectral data directly,we propose a novel method to reconstruct the density based on inverting a sequence of trace formulas which bridge the density and its spectral data clearly in terms of a series of nonlinear integral equations.Numerical experiments are presented to verify the validity and effectiveness of the proposed numerical algorithm.The impact of different parameters involved in the algorithm is also discussed.

EIGENVALUES OF STURM-LIOUVILLE OPERATOR WITH GENERAL BOUNDARY CONDITIONS

We study the asymptotic behavior for the eigenvalues of Sturm-Liouville operators with smooth potential.The precise asymptotic expressions for the eigenvalues of the operators with general boundary conditions are given.

Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain

This paper deals with mathematical modelling of impulse waveforms and impulse switching functions used in electrical engineering. Impulse switching functions are later investigated using direct and inverse z-transformation. The results make possible to present those functions as infinite series expressed in pure numerical, exponential or trigonometric forms. The main advantage of used approach is the possibility to calculate investigated variables directly in any instant of time;dynamic state can be solved with the step of sequences (T/6, T/12) that means very fast. Theoretically derived waveforms are compared with simulation worked-out results as well as results of circuit emulator LT spice which are given in the paper.

Effect of Impulse Noise on Wireless Relay Channel

Relay Network is most suited wireless communication technique for future Smart Grid, because it has a lot of advantages such as reliability against failures and offers redundancy, self-configuring and self-healing. For example if one nod or path is blocked, it can find a neighbour node, by different algorithms schemes. The purpose of this paper is to simulate wireless relay channel model in presence of impulse noise and computing the BER performance of channel data. It makes to be useful for a designer to predicting error and behaviour of a channel for optimum design, to be able choose a robust channel.

具有脉冲效应的分数阶p-Laplacian方程耦合系统的可解性

本文研究了一类具有脉冲效应的分数阶p-Laplacian方程耦合系统的问题.利用变分方法,获得了该系统解存在的一些新结果.在证明过程中,弱化了系统中变系数和非线性项的条件,推广了已有结果.

一类中立型随机积微分方程mild解的存在性

该文在Hilbert空间中研究了一类具有非瞬时脉冲的中立型随机积微分方程非局部问题mild解的存在性.利用预解算子理论、非紧性测度理论和Darbo不动点定理,建立了所研究问题mild解的存在性定理,丰富和发展了已有的相关结果.

分数阶脉冲微分系统的逼近能控性

近年来,脉冲微分系统的能控性引起了人们的重视,这类系统在航天技术、信息科学、控制系统、通讯、生命科学、医学、经济领域均得到重要应用。基于这一原因,在Banach空间中考虑了一类非线性分数阶脉冲微分系统的逼近能控性。目前已有的结果是半线性微分系统中研究,而在脉冲微分系统中研究的,更具有现实意义。首先通过Schauder不动点定理研究了一类非线性分数阶脉冲微分系统温和解的存在性,然后利用半群理论、解算子和预解算子的相关性质,证明这一类系统的逼近能控性,最后给出的实例分析及应用阐明主要结果。

具p-Laplace算子的分数阶脉冲微分方程奇异边值问题的解

用Banach压缩映像原理和Krsnoasel’skii不动点定理证明一类具有p-Laplace算子的分数阶脉冲微分方程奇异边值问题解的唯一性和存在性.

基于模型预测的脱硫浆液循环泵运行组合优化研究

浆液循环泵的优化组合运行对于脱硫装置的经济运行具有重要影响,在当前机组负荷工况波动大、净烟气SO_(2)浓度排放限制严格的情况下,依靠运行人员的经验手动调节达到经济运行有较大的困难。针对这一现状,基于FIR模型辨识方法,建立了脱硫装置的数据驱动预测模型,并结合专家知识及现场设备限制研发了循环泵组合在线优化建议系统,在保障脱硫装置安全、达标运行的前提下实现优化经济运行。实际生产应用结果表明,该系统投运后可降低20.5%的浆液成本和3.7%的电耗成本,对于火电厂节能减排及智能化改造工作具有参考意义。

一种改进的自适应中值滤波算法

针对未知脉冲噪声强度的退化图像的去噪,提出了一种新的自适应中值滤波算法,该算法主要基于以下两点:(1)根据模糊数学里的模糊度理论及随机脉冲噪声本身的去噪特点,提出了模糊指标的概念,并通过反向二阶拟合来获得噪声的强度信息;(2)引入了反映图像边缘信息的Prew itt梯度算子,并通过实验来得到合适的梯度阈值,以更好地保持图像的边缘等细节信息。通过将该算法与传统的中值滤波、基于排序阈值的开关中值滤波以及Sorin Zoican提出的改进的中值滤波进行的对比实验表明,该算法对噪声的强度有很好的估计,不仅提高了噪声去除的自适应性,尤其对含噪声多的图像的处理效果更为理想。

利用互相关函数进行环境激励下的模态分析

对互相关函数理论的进一步发展作了详细推导 ,探索出一条将互相关函数理论同多种经典模态分析方法相结合进行环境激励下模态分析的方法。以一悬臂梁为试验模型 ,在白噪声激励下将互相关函数代替脉冲响应函数用于多参考点复指数法和特征实现算法进行模态识别 ,并同功率谱峰值法结果进行了对比。研究表明 。