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http://hdl.handle.net/1942/3519
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | SMITS, Bert | - |
dc.date.accessioned | 2007-11-28T16:27:05Z | - |
dc.date.available | 2007-11-28T16:27:05Z | - |
dc.date.issued | 1995 | - |
dc.identifier.citation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 347(10). p. 4129-4145 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3519 | - |
dc.description.abstract | The payer deals with the boundary value problem epsilon x + xx-x(2) = 0, with x(0) = A, x(T) = B for A, B, T > 0 and epsilon > 0 close to zero. It is shown that for T sufficiently big, the problem has exactly three solutions, two of which reach negative values. Solutions reaching negative values occur for T greater than or equal to T(epsilon) > 0 and we show that asymptotically for epsilon --> 0, T(epsilon) similar to ln (epsilon), i.e. lim(epsilon-->0) -T(epsilon)/ln(epsilon) = 1. The main tools are transit time analysis in the Lienard plane and normal form techniques. As such the methods are rather qualitative and useful in other similar problems. | - |
dc.language.iso | en | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.subject.other | GLOBAL BLOWING UP; TRANSITION TIME; ASYMPTOTIC ANALYSIS; CENTER MANIFOLD | - |
dc.title | TRANSITION TIME ANALYSIS IN SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 4145 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | 4129 | - |
dc.identifier.volume | 347 | - |
local.format.pages | 17 | - |
dc.description.notes | DUMORTIER, F, LIMBURGS UNIV CENTRUM,DEPT WNI,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | A1995TB66400015 | - |
item.accessRights | Closed Access | - |
item.fulltext | No Fulltext | - |
item.fullcitation | DUMORTIER, Freddy & SMITS, Bert (1995) TRANSITION TIME ANALYSIS IN SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS. In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 347(10). p. 4129-4145. | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | SMITS, Bert | - |
Appears in Collections: | Research publications |
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