scholarly journals Stationary probability measures for linear differential equations driven by white noise

1970 ◽  
Vol 8 (1) ◽  
pp. 27-33 ◽  
Author(s):  
Moshe Zakai ◽  
Jakov Snyders
Keyword(s):  
Differential Equations ◽  
White Noise ◽  
Linear Differential Equations ◽  
Probability Measures ◽  
Stationary Probability ◽  
Linear Differential

Quantum white noise convolution operators with application to differential equations

2014 ◽  
Vol 22 (4) ◽  
Author(s):  
Abdessatar Barhoumi ◽  
Alberto Lanconelli ◽  
Hafedh Rguigui
Keyword(s):  
Differential Equations ◽  
White Noise ◽  
Linear Differential Equations ◽  
Convolution Operators ◽  
Non Linear ◽  
Linear Differential ◽  
Algebra Of Operators

AbstractIn this paper we introduce a quantum white noise (QWN) convolution calculus over a nuclear algebra of operators. We use this calculus to discuss new solutions of some linear and non-linear differential equations.

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