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Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions
Authors:Chenghua Gao  Xiaolong Li  Fei Zhang
Institution:1. Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People’s Republic of Chinagaokuguo@163.com;3. Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, People’s Republic of China
Abstract:We consider the discrete right definite Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions

 /></span>,</p>where <i>T ></i> 1 is an integer and <i>λ</i> is the spectrum parameter. We obtain the existence of the eigenvalues, the oscillation properties of the eigenfunctions and the interlacing results of the eigenvalues of the above problem with the eigenvalues of the Dirichlet problem and the Neumann problem.</td>
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Keywords:39A06  39A12  39A21  39A70
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