Stochastic Clairaut Equation on Algebra of Generalized Functions

被引：0
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作者：
Hafedh Rguigui
机构：
[1] Umm Al-Qura University,Department of Mathematics, Al
[2] University of Sousse,Qunfudhah University College
来源：
Complex Analysis and Operator Theory | 2024年 / 18卷
关键词：
Finite-time stable; Convolution product; Generalized stochastic Clairaut equation; Space of entire functions with ; -exponential growth condition of minimal;
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摘要：
Based on an infinite dimensional distributions space, we study the solution of the generalized stochastic Clairaut equation using a suitable convolution calculus. The solution of such equation is shown to be positive and its integral representation with respect to the Radon measure is given. Moreover, the contractivity property is studied. Finally, the system is shown to be finite-time stochastically stable.
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