On the symmetry group properties of equations of nonlocal elasticity
type: Item
instance of: scholarly article
title: On the symmetry group properties of equations of nonlocal elasticity
zbMATH Open document ID: 0962.74010
DOI: 10.1016/S0093-6413(99)00084-1
author: Yanyan Li
published in: Mechanics Research Communications
publication date: 2000-07-25T00:00:00Z
review text: The author finds symmetry groups for one-dimensional and two-dimensional equations of nonlocal elasticity in dynamic problems. At first, the determining equations are derived together with differential equations which include kernel functions. Then, using these functions and solving the determining equations, the author obtains symmetry groups and gives their classification with respect to kernel functions. The results presented in this paper can be used as a preliminary tool in order to investigate solutions and symmetry groups of nonlocal elasticity. A special application is possible to solutions of boundary value problems in nonlocal elasticity when the classical solutions are singular.
Mathematics Subject Classification ID: 74B99
zbMATH DE Number: 1417860
zbMATH Keywords: integro-differential equation
zbMATH Keywords: Lie group
zbMATH Keywords: Lie symmetry
zbMATH Keywords: nonlocal elasticity
zbMATH Keywords: kernel functions
zbMATH Keywords: symmetry groups
zbMATH Keywords: classification
reviewed by: István Ecsedi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1417860