Invariant Manifolds for Ordinary Differential Equations

Autor:	H.W. Knobloch
Rok vydání:	1992
Předmět:	Stochastic partial differential equation Differential equation Ordinary differential equation Mathematical analysis Cauchy boundary condition Delay differential equation Differential algebraic equation Mathematics Separable partial differential equation Integrating factor
DOI:	10.1016/s0076-5392(08)63378-0
Popis:	Publisher Summary This chapter discusses ordinary differential equations that are written as a pair of coupled differential equations x, y being vectors in general. The novelty of the definition lies in the explicit occurence of an additional side condition namely the boundary condition. It is obvious that one cannot resort anymore to the basic knowledge about center manifolds. What one would expect is-roughly speaking-aggravated and relaxed conditions respectively for existence and uniqueness respectively. The chapter concerns two fundamental hypotheses-concerning the differential equation, the set M and the boundary data-which are sufficient in order that one can actually construct a mapping S that has all properties.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::38de5e4f913dbda0900b2c6946262744 https://doi.org/10.1016/s0076-5392(08)63378-0 Zobrazit plný text záznamu