scholarly journals Multiple solutions for 2mth-order Sturm-Liouville boundary value problems

2000 ◽  
Vol 40 (2-3) ◽  
pp. 231-237 ◽  
Author(s):  
Chuan Jen Chyan ◽  
J. Henderson
2015 ◽  
Vol 13 (4) ◽  
pp. 1625-1640 ◽  
Author(s):  
John R. Graef ◽  
Shapour Heidarkhani ◽  
Lingju Kong

2001 ◽  
Vol 25 (11) ◽  
pp. 709-715 ◽  
Author(s):  
Antonio G. García ◽  
Miguel A. Hernández-Medina ◽  
María J. Muñoz-Bouzo

The classical Kramer sampling theorem is, in the subject of self-adjoint boundary value problems, one of the richest sources to obtain sampling expansions. It has become very fruitful in connection with discrete Sturm-Liouville problems. In this paper a discrete version of the analytic Kramer sampling theorem is proved. Orthogonal polynomials arising from indeterminate Hamburger moment problems as well as polynomials of the second kind associated with them provide examples of Kramer analytic kernels.


2009 ◽  
Vol 356 (2) ◽  
pp. 418-428 ◽  
Author(s):  
Alberto Cabada ◽  
Antonio Iannizzotto ◽  
Stepan Tersian

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