Remarks on semilinear problems with nonlinearities depending on the derivative
| dc.contributor.author | Almira, Jose Maria | |
| dc.contributor.author | Del Toro, Naira | |
| dc.date.accessioned | 2020-09-14T20:54:27Z | |
| dc.date.available | 2020-09-14T20:54:27Z | |
| dc.date.issued | 2003-02-20 | |
| dc.description.abstract | In this paper, we continue some work by Cañada and Drábek [1] and Mawhin [6] on the range of the Neumann and Periodic boundary value problems: u''(t) + g(t, u'(t)) = f̄ + f̃(t), t ∈ (a, b) u'(a) = u'(b) = 0 or u(a) = u(b), u'(a) = u'(b) where g ∈ C ([a, b] x ℝn, ℝn), f̄ ∈ ℝn, and f̃ has mean value zero. For the Neumann problem with n > 1, we prove that for a fixed f̃ the range can contain an infinity continuum. For the one dimensional case, we study the asymptotic behavior of the range in both problems. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Almira, J. M., & Del Toro, N. (2003). Remarks on semilinear problems with nonlinearities depending on the derivative. Electronic Journal of Differential Equations, 2003(18), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12609 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Nonlinear boundary-value problem | |
| dc.subject | Neumann and Periodic problems | |
| dc.title | Remarks on semilinear problems with nonlinearities depending on the derivative | |
| dc.type | Article |