On solvability of inverse problem for one equation of fourth order

Autor:	Aysel Ramazanova Telman Qizi, Yashar Mehrelıyev Topush Oglu
Jazyk:	angličtina
Předmět:	Fourth order Fourth order equation Inverse boundary value problem fourth order equation Fourier method classical solution General Mathematics Mathematik Applied mathematics Inverse problem Mathematics
Zdroj:	Volume: 44, Issue: 2 611-621 Turkish Journal of Mathematics
ISSN:	1300-0098 1303-6149
Popis:	The work is devoted to study the existence and uniqueness of the classical solution of the inverse boundary value problem of determining the lowest coefficient in one fourth order equation. The original problem is reduced to an equivalent problem. The existence and uniqueness of the integral equation are proved by means of the contraction mappings principle, and we obtained that this solution is unique for a boundary value problem. Further, using these facts, we prove the existence and uniqueness of the classical solution for this problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5022cbae32ad253a51646e7bb057b8ba https://dergipark.org.tr/tr/pub/tbtkmath/issue/53824/723668 Zobrazit plný text záznamu