О Нетривиальной Разрешимости Кратного Однородного Уравнения Винера-Хопфа В Консервативном Случае И Об Уравнении Пайерлса

Арабаджян, Левон Гургенович; Arabadzhyan, L. G.; Арабаджян, Гурген Левонович; Arabajyan, Gurgen Levonovich

doi:10.4213/tmf9866

TMF

2020

DOI: 10.4213/tmf9866

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О Нетривиальной Разрешимости Кратного Однородного Уравнения Винера-Хопфа В Консервативном Случае И Об Уравнении Пайерлса

Левон Гургенович Арабаджян¹,

L. G. Arabadzhyan

Гурген Левонович Арабаджян³

et al.

Abstract: Описан процесс построения в октанте положительного решения интегрального однородного уравнения Винера-Хопфа в одном особом (консервативном) случае. Применение полученных общих результатов к однородному стационарному уравнению Пайерлса позволяет изучить поведение решения этого уравнения при больших значениях аргументов. Эти вопросы представляют определенный интерес в теории переноса излучения.

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Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

Khachatryan

Petrosyan

2022

Trans. Moscow Math. Soc.

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This paper is devoted to studying a class of nonlinear two-dimensional convolution-type integral equations on R 2 \mathbb {R}^2 . This class of equations has applications in the theory of p p -adic open-closed strings and in the mathematical theory of the spread of epidemics in space and time. The existence of an alternating bounded solution is proved. The asymptotic behaviour of the constructed solution is also studied in a particular case. At the end of the paper, specific applied examples of these equations are given to illustrate the results. UDK 517.968.4.

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Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

Khachatryan

Petrosyan

2022

Trans. Moscow Math. Soc.

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scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

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О Нетривиальной Разрешимости Кратного Однородного Уравнения Винера-Хопфа В Консервативном Случае И Об Уравнении Пайерлса

Cited by 1 publication

References 5 publications

Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

Alternating bounded solutions of a class of nonlinear two-dimensional convolution-type integral equations

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