Spectral analysis of an impulsive quantum difference operator

2018 ◽  
Vol 42 (16) ◽  
pp. 5331-5339
Author(s):  
Martin Bohner ◽  
Serifenur Cebesoy
Keyword(s):  
Spectral Analysis ◽  
Difference Operator ◽  
Quantum Difference

scholarly journals Spectral analysis of a difference operator with a growing potential

2018 ◽  
Vol 973 ◽  
pp. 012053
Author(s):  
G V Garkavenko ◽  
A R Zgolich ◽  
N B Uskova
Keyword(s):  
Spectral Analysis ◽  
Difference Operator

scholarly journals A general quantum Laplace transform

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Enas M. Shehata ◽  
Nashat Faried ◽  
Rasha M. El Zafarani
Keyword(s):  
Continuous Function ◽  
Laplace Transform ◽  
Difference Equations ◽  
Difference Operator ◽  
General Quantum ◽  
Quantum Difference

Abstract In this paper, we introduce a general quantum Laplace transform $\mathcal{L}_{\beta }$ L β and some of its properties associated with the general quantum difference operator ${D}_{\beta }f(t)= ({f(\beta (t))-f(t)} )/ ({ \beta (t)-t} )$ D β f ( t ) = ( f ( β ( t ) ) − f ( t ) ) / ( β ( t ) − t ) , β is a strictly increasing continuous function. In addition, we compute the β-Laplace transform of some fundamental functions. As application we solve some β-difference equations using the β-Laplace transform. Finally, we present the inverse β-Laplace transform $\mathcal{L}_{\beta }^{-1}$ L β − 1 .

Spectral analysis of aq-difference operator

2010 ◽  
Vol 43 (14) ◽  
pp. 145207 ◽  
Author(s):  
Miron B Bekker ◽  
Martin J Bohner ◽  
Alexander N Herega ◽  
Hristo Voulov
Keyword(s):  
Spectral Analysis ◽  
Difference Operator
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