An application for an implicit function theorem of Craven and Nashed: Continuum limits of lattice differential equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:367

Article

Johann, Andreas

关键词: Lattice differential equations;    Continuum limit;    Implicit function theorem;   

DOI  :  10.1016/j.jmaa.2010.01.043

来源: Elsevier

【 摘 要 】

We deal with the continuum limit of lattice differential equations and show how an implicit function theorem of Craven and Nashed can be used in order to continuate solutions of the resulting partial differential equation to solutions of the original spatially discrete system. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free