Multi point boundary-value problems at resonance for n-order differential equations: Positive and monotone solutions

Simple item page
dc.contributor.authorPalamides, Panos K.
dc.date.accessioned2021-04-06T20:08:23Z
dc.date.available2021-04-06T20:08:23Z
dc.date.issued2004-02-24
dc.description.abstractIn this article, we study a complete n-order differential equation subject to the (p, n - p) right focal boundary conditions plus an additional nonlocal constrain. We establish sufficient conditions for the existence of a family of positive and monotone solutions at resonance. The emphasis in this paper is not only that the nonlinearity depends on all higher-order derivatives but mainly that the obtaining solution satisfies the above extra condition. Our approach is based on the Sperner's Lemma, proposing in this way an alternative to the classical methodologies based on fixed point or degree theory and results the introduction of a new set of quite natural hypothesis.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationPalamides, P. K. (2004). Multi point boundary-value problems at resonance for n-order differential equations: Positive and monotone solutions. <i>Electronic Journal of Differential Equations, 2004</i>(25), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13344
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFocal boundary value problem
dc.subjectMulti-point
dc.subjectResonance
dc.subjectVector field
dc.subjectPositive monotone solution
dc.subjectSperner's lemma
dc.subjectKnaster-Kuratowski-Mazurkiewicz's principle
dc.titleMulti point boundary-value problems at resonance for n-order differential equations: Positive and monotone solutions
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
palamides.pdf
Size:
253.97 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations