Heteroclinic Solutions to Asymptotically Autonomous Equations via Continuation Methods

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Abstract: By means of a continuation argument, we prove the existence of at least one increasing heteroclinic solution to a scalar equation of the kind ẍ = a (t) V′(x), where V is a non-negative double well potential, and a (t) is a positive, measurable coefficient, which is definitively monotone with respect to |t|, converges to l as |t| diverges and fulfils one of the two following assumptions: a (t) ≥ l everywhere, or a (t) − l converges to 0, as |t| → +∞, more slowly than a suitable exponential term.

Standort: Deutsche Nationalbibliothek Frankfurt am Main

Umfang: Online-Ressource

Sprache: Englisch

Erschienen in: Heteroclinic Solutions to Asymptotically Autonomous Equations via Continuation Methods ; volume:11 ; number:3 ; year:2011 ; pages:613-631 ; extent:19
Advanced nonlinear studies ; 11, Heft 3 (2011), 613-631 (gesamt 19)

Urheber: Gavioli, Andrea

DOI: 10.1515/ans-2011-0307

URN: urn:nbn:de:101:1-2405021711032.542758430933

Rechteinformation: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Letzte Aktualisierung: 14.08.2025, 10:51 MESZ

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Gavioli, Andrea

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Heteroclinic Solutions to Asymptotically Autonomous Equations via Continuation Methods

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