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Izvestiya: Mathematics, 2010, Volume 74, Issue 3, Pages 595–606
DOI: https://doi.org/10.1070/IM2010v074n03ABEH002499 (Mi im2760) 		 
On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations

M. S. Sgibnev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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DOI: https://doi.org/10.1070/IM2010v074n03ABEH002499
Abstract: We prove the existence of a non-decreasing solution of a homogeneous system of generalized Wiener–Hopf equations and establish asymptotic properties of this solution.
Keywords: system of integral equations, homogeneous system of Wiener–Hopf equations, matrix of measures, matrix reconstruction function, asymptotic behaviour.
Received: 16.01.2008
Revised: 25.07.2008
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2010, Volume 74, Issue 3, Pages 157–168
DOI: https://doi.org/10.4213/im2760
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: Primary 45E10; Secondary 47B35
Language: English
Original paper language: Russian
Citation: M. S. Sgibnev, “On the existence of a solution of a homogeneous system of generalized Wiener–Hopf equations”, Izv. RAN. Ser. Mat., 74:3 (2010), 157–168; Izv. Math., 74:3 (2010), 595–606
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    English version PDF:12
    References:88
    First page:17
     
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