Stochastic Clairaut Equation on Algebra of Generalized Functions

被引：0
|
作者：
Rguigui, Hafedh [1 ,2 ]
机构：
[1] Umm Al Qura Univ, AL Qunfudhah Univ Coll, Dept Math, Mecca, Saudi Arabia
[2] Univ Sousse, High Sch Sci & Technol Hammam Sousse, Rue Lamine Abassi, Hammam Sousse 4011, Tunisia
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2024年 / 18卷 / 02期
关键词：
Finite-time stable; Convolution product; Generalized stochastic Clairautequation; Space of entire functions with theta-exponential growth condition of minimal type; CONVOLUTION-OPERATORS;
D O I：
10.1007/s11785-023-01466-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页数：11
相关论文
共 50 条
  • [11] ALGEBRA OF GENERALIZED ANALYTIC-FUNCTIONS
    MALLIOS, A
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1972, 38 (02) : 501 - &
  • [12] The Generalized Stochastic Smoluchowski Equation
    Chavanis, Pierre-Henri
    ENTROPY, 2019, 21 (10)
  • [13] Hyperplane Envelopes and the Clairaut Equation
    Robert J. Fisher
    H. Turner Laquer
    Journal of Geometric Analysis, 2010, 20 : 609 - 650
  • [14] Hyperplane Envelopes and the Clairaut Equation
    Fisher, Robert J.
    Laquer, H. Turner
    JOURNAL OF GEOMETRIC ANALYSIS, 2010, 20 (03) : 609 - 650
  • [15] Stochastic θ-differentials in the algebra of generalized random processes
    Lazakovich, NV
    Yablonskiy, OL
    DOKLADY AKADEMII NAUK BELARUSI, 1998, 42 (04): : 18 - 22
  • [16] Solving the Fractional Schrodinger Equation with Singular Initial Datain the Extended Colombeau Algebra of Generalized Functions
    El Mfadel, Ali
    Melliani, Said
    Taqbibt, Abdellah
    Elomari, M'hamed
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023
  • [17] Generalized stochastic processes in algebras of generalized functions
    Radoslava, Mirkov
    Stevan, Pilipovic
    Dora, Selesi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (01) : 260 - 270
  • [18] The Heun equation and generalized Sl(2) algebra
    Sadeghi, J.
    Vaezi, A.
    Larijani, F.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2016, 16 (01): : 77 - 80
  • [19] On singular solutions of a multidimensional differential equation of Clairaut-type with power and exponential functions
    Ryskina, L. L.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2019, 23 (02): : 394 - 401
  • [20] Exploiting stochastic process algebra achievements for generalized stochastic Petri nets
    Hermanns, H
    Herzog, U
    Mertsiotakis, V
    Rettelbach, M
    PROCEEDINGS OF THE SEVENTH INTERNATIONAL WORKSHOP ON PETRI NETS AND PERFORMANCE MODELS, 1997, : 183 - 192
12345