On alternating and bounded solutions of one class of integral equations on the entire axis with monotonic nonlinearity

Autor:	Khachatur Aghavardovich Khachatryan, Haykanush Samvelovna Petrosyan
Jazyk:	English<br />Russian
Rok vydání:	2020
Předmět:	monotonicity nonlinearity kernel convexity limited solution Mathematics QA1-939
Zdroj:	Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 24, Iss 4, Pp 644-662 (2020)
Druh dokumentu:	article
ISSN:	1991-8615 2310-7081
DOI:	10.14498/vsgtu1790
Popis:	The paper is devoted to the study of the existence and analysis of the qualitative properties of solutions for one class of integral equations with monotonic nonlinearity on the entire line. The indicated class of equations arises in the kinetic theory of gases. The constructive theorems of the existence of bounded solutions are proved, and certain qualitative properties of the constructed solutions are studied. At the end of the paper, specific applied examples of these equations are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/930a002775064aad8f53385a5c4baafc Zobrazit plný text záznamu View record in DOAJ