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EIGENFUNCTIONS: 作品数：75被引量：41H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Journal of Energy and Power Engineering》《Science Bulletin》《China Ocean Engineering》《Journal of Quantum Information Science》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划河北省自然科学基金国家高技术研究发展计划更多>>

Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prufer transformation: 《Applied Mathematics(A Journal of Chinese Universities)》2024年第2期191-200,共10页LI Zhi-yu LI Kun CAI Jin-ming QIN Jian-fang ZHENG Zhao-wen; Supported by the Natural Science Foundation of Shandong Province(ZR2023MA023,ZR2021MA047);Guangdong Provincial Featured Innovation Projects of High School(2023KTSCX067).; A class of Sturm-Liouville problems with discontinuity is studied in this paper.The oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions are obtained.The main method used in ...; 关键词：Sturm-Liouville problem interface condition oscillatory solution

Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates: 《Communications on Applied Mathematics and Computation》2024年第1期236-256,共21页Weitao Chen Chiu-Yen Kao; supported by the DMS-1853701;supported in part by the DMS-2208373.; In this paper,we review computational approaches to optimization problems of inhomogeneous rods and plates.We consider both the optimization of eigenvalues and the localization of eigenfunctions.These problems are mot...; 关键词：Inhomogeneous rods and plates Bi-Laplacian Optimization of eigenvalues Localization of eigenfunctions REARRANGEMENT

Fourier coefficients of restrictions of eigenfunctions: 《Science China Mathematics》2023年第8期1849-1878,共30页Emmett L.Wyman Yakun Xi Steve Zelditch; supported by National Science Foundation of USA (Grant Nos.DMS-1810747 and DMS-1502632);supported by National Natural Science Foundation of China (Grant No.12171424)。; Let{e_(j)}be an orthonormal basis of Laplace eigenfunctions of a compact Riemannian manifold(M,g).Let H■M be a submanifold and{ψ_(k)}be an orthonormal basis of Laplace eigenfunctions of H with the induced metric.We ...; 关键词：EIGENFUNCTIONS period integrals Kuznecov formula

THE SASA-SATSUMA EQUATION ON A NON-ZERO BACKGROUND: THE INVERSE SCATTERING TRANSFORM AND MULTI-SOLITON SOLUTIONS被引量：1: 《Acta Mathematica Scientia》2023年第3期1045-1080,共36页温丽丽范恩贵陈勇; supported by the National Natural Science Foundation of China(12175069 and 12235007);the Science and Technology Commission of Shanghai Municipality (21JC1402500 and 22DZ2229014)。; We concentrate on the inverse scattering transformation for the Sasa-Satsuma equation with 3×3 matrix spectrum problem and a nonzero boundary condition. To circumvent the multi-value of eigenvalues, we introduce a su...; 关键词：Sasa-Satsuma equation nonzero boundary condition auxiliary eigenfunctions Riemann-Hilbert problem soliton solution

Oscillation Property for the Eigenfunctions of Discrete Clamped Beam Equation and Its Applications: 《Journal of Mathematical Research with Applications》2021年第4期401-415,共15页Yanqiong LU Rui WANG; Supported by the National Natural Science Foundation of China(Grant Nos.11901464;11801453);the Young Teachers’Scientific Research Capability Upgrading Project of Northwest Normal University(Grant No.NWNULKQN2020-20).; In this article,we established the structure of all eigenvalues and the oscillation property of corresponding eigenfunctions for discrete clamped beam equation △^(4)u(k-2)=λm(k)u(k),k∈[2,N+1]Z,u(0)=△u(0)=0=u(N+2)=...; 关键词：EIGENVALUE EIGENFUNCTIONS oscillation property bifurcation point nodal solutions

Asymptotic Approximation of the Eigenvalues and the Eigenfunctions for the Orr-Sommerfeld Equation on Infinite Intervals: 《Advances in Pure Mathematics》2019年第12期967-989,共23页Victor Nijimbere; Asymptotic eigenvalues and eigenfunctions for the Orr-Sommerfeld equation in two-dimensional and three-dimensional incompressible flows on an infinite domain and on a semi-infinite domain are obtained. Two configurati...; 关键词：EIGENVALUES EIGENFUNCTIONS Infinite Intervals WKB Methods Long-Wave LIMIT APPROXIMATION Short-Wave LIMIT APPROXIMATION Generalized HYPERGEOMETRIC Functions

On time independent Schr?dinger equations in quantum mechanics by the homotopy analysis method: 《Theoretical & Applied Mechanics Letters》2019年第6期376-381,共6页Jyotirmoy Rana Shijun Liao; partly supported by the National Natural Science Foundation of China(No.11432009); A general analytic approach,namely the homotopy analysis method(HAM),is applied to solve the time independent Schrodinger equations.Unlike perturbation method,the HAM-based approach does not depend on any small physic...; 关键词：Schrodinger equations Homotopy analysis method Convergent eigenvalues and eigenfunctions

A Renormalized-Hamiltonian-Flow Approach to Eigenenergies and Eigenfunctions被引量：1: 《Communications in Theoretical Physics》2019年第7期861-868,共8页Wen-Ge Wang; Supported by the National Natural Science Foundation of China under Grant Nos.11275179,11535011,and 11775210; We introduce a decimation scheme of constructing renormalized Hamiltonian flows,which is useful in the study of properties of energy eigenfunctions,such as localization,as well as in approximate calculation of eigenen...; 关键词：generalized Brillouin-Wigner perturbation theory HAMILTONIAN FLOW EIGENFUNCTION structure EIGENVALUE

Geometric Counting on Wavefront Real Spherical Spaces: 《Acta Mathematica Sinica,English Series》2018年第3期488-531,共44页Bernhard KROTZ Eitan SAYAG Henrik SCHLICHTKRULL; partially supported by ISF(Grant Nos.1138/10 and ERC 291612); We provide L^p-versus L~∞-bounds for eigenfunctions on a real spherical space Z of wavefront type. It is shown that these bounds imply a non-trivial error term estimate for lattice counting on Z. The paper also serve...; 关键词：Homogeneous spaces real spherical spaces lattice counting error term wavefront lemma spectral analysis norm comparison of eigenfunctions

An l^(1) Regularized Method for Numerical Differentiation Using Empirical Eigenfunctions: 《Journal of Mathematical Research with Applications》2017年第4期496-504,共9页Junbin LI Renhong WANG Min XU; Supported by the National Nature Science Foundation of China(Grant Nos.11301052,11301045,11271060,11601064,11671068);the Fundamental Research Funds for the Central Universities(Grant No.DUT16LK33);the Fundamental Research of Civil Aircraft(Grant No.MJ-F-2012-04); We propose an ？~1 regularized method for numerical differentiation using empirical eigenfunctions. Compared with traditional methods for numerical differentiation, the output of our method can be considered directly ...; 关键词：numerical differentiation empirical eigenfunctions ?~1 regularization mercer kernel

EIGENFUNCTIONS