Eigenfunctions and associated functions of an n-th-order linear differential operator

1976 ◽  
Vol 20 (6) ◽  
pp. 1043-1048
Author(s):  
M. S. Eremin
Keyword(s):  
Differential Operator ◽  
Linear Differential Operator ◽  
Order Linear ◽  
Associated Functions ◽  
Linear Differential ◽  
Eigenfunctions And Associated Functions

scholarly journals Complete second order linear differential operator equations in Hilbert space and applications in hydrodynamics

2004 ◽  
Vol 356 (12) ◽  
pp. 4737-4766 ◽  
Author(s):  
N. D. Kopachevsky ◽  
R. Mennicken ◽  
Ju. S. Pashkova ◽  
C. Tretter
Keyword(s):  
Hilbert Space ◽  
Differential Operator ◽  
Linear Differential Operator ◽  
Second Order ◽  
Operator Equations ◽  
Order Linear ◽  
Linear Differential

scholarly journals Similar Operators and a Functional Calculus for the First-Order Linear Differential Operator

1999 ◽  
Vol 22 (1) ◽  
pp. 29-47 ◽  
Author(s):  
David Elizarraraz ◽  
Luis Verde-Star
Keyword(s):  
Differential Operator ◽  
Functional Calculus ◽  
Linear Differential Operator ◽  
Order Linear ◽  
First Order ◽  
Linear Differential

On the spectrum of an infinite-order differential operator and its relation to Hamiltonian mechanics

2019 ◽  
Vol 25 (2) ◽  
pp. 131-139
Author(s):  
Seyed Ebrahim Akrami
Keyword(s):  
Differential Operator ◽  
Conservation Law ◽  
Infinite Order ◽  
Linear Differential Operator ◽  
Order Differential Operator ◽  
Hamiltonian Mechanics ◽  
Zero Eigenvalue ◽  
Order Linear ◽  
Analytical Functions ◽  
Linear Differential

Abstract We introduce an infinite-order linear differential operator and study its spectrum. We show that all analytical functions around the origin are its eigenfunctions corresponding to zero eigenvalue. We outline an interesting relation between this operator and the conservation law of energy in Hamiltonian mechanics.

scholarly journals Time evolution of the scattering data for a fourth-order linear differential operator

2008 ◽  
Vol 24 (5) ◽  
pp. 055013 ◽  
Author(s):  
Tuncay Aktosun ◽  
Vassilis G Papanicolaou
Keyword(s):  
Differential Operator ◽  
Time Evolution ◽  
Fourth Order ◽  
Linear Differential Operator ◽  
Scattering Data ◽  
Order Linear ◽  
Linear Differential
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