Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions

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Abstract: In this paper, we establish existence and multiplicity results for systems of first-order differential equations. To this end, we introduce the method of solution-regions. It generalizes the method of upper and lower solutions and the method of solution-tubes. Our results can also be seen as viability results since we obtain solutions remaining in suitable regions. We give conditions insuring the existence of at least three viable solutions of a system of first-order differential equations. Many examples are presented to show that a large variety of sets can be solution-regions.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Existence and Multiplicity Results for Systems of First-Order Differential Equations via the Method of Solution-Regions ; volume:18 ; number:3 ; year:2018 ; pages:469-485 ; extent:17
Advanced nonlinear studies ; 18, Heft 3 (2018), 469-485 (gesamt 17)

Creator
Frigon, Marlène

DOI
10.1515/ans-2017-6049
URN
urn:nbn:de:101:1-2405031606298.430129239673
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 11:02 AM CEST

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Associated

  • Frigon, Marlène

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