Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Bounded Components of Positive Solutions of Nonlinear Abstract Equations
Репозиторій DSpace/Manakin
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| dc.contributor.author | Cano-Casanova, S. | |
| dc.contributor.author | Lopez-Gomez, J. | |
| dc.contributor.author | Molina-Meyer, M. | |
| dc.date.accessioned | 2017-09-29T14:23:30Z | |
| dc.date.available | 2017-09-29T14:23:30Z | |
| dc.date.issued | 2005 | |
| dc.identifier.citation | Bounded Components of Positive Solutions of Nonlinear Abstract Equations / S. Cano-Casanova, J. Lopez-Gomez, M. Molina-Meyer // Український математичний вісник. — 2005. — Т. 2, № 1. — С. 38-51. — Бібліогр.: 13 назв. — англ. | uk_UA |
| dc.identifier.issn | 1810-3200 | |
| dc.identifier.other | 2000 MSC. 34A34, 34C23, 35B32, 35B50, 35J25. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/124580 | |
| dc.description.abstract | In this work a general class of nonlinear abstract equations satisfying a generalized strong maximum principle is considered in order to show that any bounded component of positive solutions bifurcating from the curve of trivial states (λ, u) = (λ, 0) at a nonlinear eigenvalue λ = λ₀ must meet the curve of trivial states (λ, 0) at another singular value λ₁ ≠ λ₀. Since the unilateral theorems of P. H. Rabinowitz [13, Theorems 1.27 and 1.40] are not true as originally stated (c.f. the counterexample of E. N. Dancer [6]), in order to get our main result the unilateral theorem of J. Lopez-Gomez [11, Theorem 6.4.3] is required. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Український математичний вісник | |
| dc.title | Bounded Components of Positive Solutions of Nonlinear Abstract Equations | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
