Central manifold theory for the generalized equation of Kirchhoff strings on ℝlN

Papadopoulos, PG; Stavrakakis, NM

dc.contributor.author	Papadopoulos, PG	en
dc.contributor.author	Stavrakakis, NM	en
dc.date.accessioned	2014-03-01T01:21:59Z
dc.date.available	2014-03-01T01:21:59Z
dc.date.issued	2005	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16418
dc.subject	Central manifold theory	en
dc.subject	Kirchhoff's equations	en
dc.subject	Local and global solutions	en
dc.subject	Quasilinear wave equations	en
dc.subject	Strong and weak dissipation	en
dc.subject	Unbounded domains	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Damping	en
dc.subject.other	Eigenvalues and eigenfunctions	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Function evaluation	en
dc.subject.other	Initial value problems	en
dc.subject.other	Linear equations	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Central manifold theory	en
dc.subject.other	Kirchoff's equations	en
dc.subject.other	Local and global solutions	en
dc.subject.other	Quasilinear wave equations	en
dc.subject.other	Strong and weak dissipation	en
dc.subject.other	Unbounded domains	en
dc.subject.other	Wave equations	en
dc.title	Central manifold theory for the generalized equation of Kirchhoff strings on ℝlN	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2005.01.107	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2005.01.107	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	We consider the generalized quasilinear dissipative Kirchhoff's String problem u(tt =) - &VERBAR;&VERBAR; A (1/2) u &VERBAR;&VERBAR;(2)(H) Au - δ Au-t + f (u), x ε R-N, t &GE; 0 with the initial conditions u(x, 0) =u0(x) and u(t)(x, 0) = u(1)(x), in the case where N &GE; 3, δ &GT; 0.The purpose of our work is to study the stability of the initial solution u = 0 for this equation using central manifold theory. &COPY; 2005 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2005.01.107	en
dc.identifier.isi	ISI:000229126000004	en
dc.identifier.volume	61	en
dc.identifier.issue	8	en
dc.identifier.spage	1343	en
dc.identifier.epage	1362	en