LIMITS OF SOLUTIONS TO THE SEMILINEAR PLATE EQUATION WITH SMALL PARAMETER

Perjan, Andrei; Rusu, Galina

dc.contributor.author	Perjan, Andrei
dc.contributor.author	Rusu, Galina
dc.date.accessioned	2023-07-07T11:02:11Z
dc.date.available	2023-07-07T11:02:11Z
dc.date.issued	2022
dc.identifier.citation	PERJAN, Andrei, RUSU, Galina. Limits of solutions to the semilinear plate equation with small parameter. În: Buletinul Academiei de Științe a Moldovei. Matematica. 2022, nr.2(99), pp. 76-102. ISSN 1024-7696	en
dc.identifier.issn	1024-7696
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/10876
dc.identifier.uri	https://doi.org/10.56415/basm.y2022.i2.p76
dc.description.abstract	We study the existence of the limits of solutions to the semilinear plate equation with boundary Dirichlet condition with a small parameter coefficient of the second order derivative in time. We establish the convergence of solutions to the perturbed problem and their derivatives in spacial variables to the corresponding solutions to the unperturbed problem as the small parameter tends to zero.	en
dc.language.iso	en	en
dc.subject	a priory estimate	en
dc.subject	boundary layer	en
dc.subject	semilinear plate equation	en
dc.subject	singular perturbation	en
dc.title	LIMITS OF SOLUTIONS TO THE SEMILINEAR PLATE EQUATION WITH SMALL PARAMETER	en
dc.type	Article	en