The finite spectrum of Sturm–Liouville problems with transmission conditions

2011 ◽  
Vol 218 (4) ◽  
pp. 1166-1173 ◽  
Author(s):  
Ji-jun Ao ◽  
Jiong Sun ◽  
Mao-zhu Zhang
Keyword(s):  
Transmission Conditions ◽  
Finite Spectrum ◽  
Sturm Liouville

scholarly journals Dissipative Sturm-Liouville Operators with Transmission Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Hüseyin Tuna ◽  
Aytekin Eryılmaz
Keyword(s):  
Transmission Conditions ◽  
Sturm Liouville ◽  
Liouville Operators

In this paper we study dissipative Sturm-Liouville operators with transmission conditions. By using Pavlov’s method (Pavlov 1947, Pavlov 1981, Pavlov 1975, and Pavlov 1977), we proved a theorem on completeness of the system of eigenvectors and associated vectors of the dissipative Sturm-Liouville operators with transmission conditions.

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