EIGENFUNCTIONS

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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 
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 
Trace Formulae for the Eigenfunctions of Periodic Finite-Bands Dirac Operator
《Journal of Mathematical Research with Applications》2015年第5期484-492,共9页Zhen LI Guangyao ZHANG Zhongyao WANG 
Supported by the National Natural Science Foundation of China(Grant No.11326131);the Natural Science Foundation of Zhejiang Province(Grant No.LQ14A010009);the Natural Science Foundation of Huzhou City(Grant No.2013YZ06)
In this paper,we deal with a Dirac operator with periodic and finite-bands potentials.Taking advantage of the commutativity of the monodromy operator and the Dirac operator,we define the Bloch functions and multiplica...
关键词：Dirac bands Operator formulae Bloch inherent operators imaginary illustrate residues 
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