Spectral analysis of higher order differential operators with unbounded coefficients

2011 ◽  
Vol 285 (1) ◽  
pp. 56-73 ◽  
Author(s):  
Horst Behncke ◽  
Fredrick Oluoch Nyamwala
Keyword(s):  
Spectral Analysis ◽  
Differential Operators ◽  
Higher Order ◽  
Unbounded Coefficients

scholarly journals Spectral Analysis of Higher-Order Differential Operators with Discontinuity Conditions at an Interior Point

2017 ◽  
Vol 63 (2) ◽  
pp. 362-372
Author(s):  
V A Yurko
Keyword(s):  
Spectral Analysis ◽  
Interior Point ◽  
Differential Operators ◽  
Finite Interval ◽  
Spectral Characteristics ◽  
Higher Order ◽  
Jump Conditions ◽  
Discontinuity Conditions

Higher-order differential operators on a finite interval with jump conditions inside the interval are studied. Properties of spectral characteristics are obtained, and completeness and expansion theorems are proved for this class of operators.

scholarly journals Lieb–Thirring inequalities for higher order differential operators

2008 ◽  
Vol 281 (2) ◽  
pp. 199-213 ◽  
Author(s):  
Clemens Förster ◽  
Jörgen Östensson
Keyword(s):  
Differential Operators ◽  
Higher Order
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