Boundary value problems with compatible boundary conditions
| dc.contributor.author | Karakostas, G. L. | en |
| dc.contributor.author | Palamides, P. K. | en |
| dc.date.accessioned | 2015-11-24T17:22:21Z | |
| dc.date.available | 2015-11-24T17:22:21Z | |
| dc.identifier.issn | 0011-4642 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12603 | |
| dc.rights | Default Licence | - |
| dc.subject | differential equations of second order | en |
| dc.subject | two-point boundary value problems | en |
| dc.subject | equations | en |
| dc.subject | systems | en |
| dc.title | Boundary value problems with compatible boundary conditions | en |
| heal.abstract | If Y is a subset of the space R-n x R-n, we call a pair of continuous functions U, V Y-compatible, if they map the space R-n into itself and satisfy Ux (.) Vy >= 0, for all (x, y) is an element of Y with x (.) y >= 0. (Dot denotes inner product.) In this paper a nonlinear two point boundary value problem for a second order ordinary differential n-dimensional system is investigated, provided the boundary conditions are given via a pair of compatible mappings. By using a truncation of the initial equation and restrictions of its domain, Brouwer's fixed point theorem is applied to the composition of the consequent mapping with some projections and a one-parameter family of fixed points P-delta is obtained. Then passing to the limits as delta tends to zero the so-obtained accumulation points are solutions of the problem. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000234865200002 | - |
| heal.journalName | Czechoslovak Mathematical Journal | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2005 | - |
| heal.publisher | Akademie v?d ?esk? republiky, Matematick? ?stav | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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