New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic PDEs

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Craddock, M (Autor) Outra; Yakubovich, SB (Autor) FCUP

Revista

Título: Journal of Differential Equations

Vol. 263

Páginas: 7412-7447

ISSN: 0022-0396

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

Outras Informações

ID Authenticus: P-00N-3TY

DOI: 10.1016/j.jde.2017.08.012

Abstract (EN): In this paper we consider some new classes of integral equations that arise from Lie symmetry analysis. Specifically, we consider the task of obtaining solutions of a Cauchy problem for some classes of second order hyperbolic partial differential equations. Our analysis leads to new integral equations of non-convolution type, which can be solved by classical methods. We derive solutions of these integral equations, which in turn lead to solutions of the associated Cauchy problems.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 36