LIMITS OF SOLUTIONS TO THE SEMILINEAR PLATE EQUATION WITH SMALL PARAMETER
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Academia de Ştiinţe a Moldovei
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.
Description
Keywords
boundary layer function, semilinear plate equation, singular perturbation
Citation
PERJAN, Andrei; RUSU, Galina. Limits of solutions to the semilinear plate equation with small parameter. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2022, nr. 2(99), pp. 76-102. ISSN 1024-7696.