Nonlinear singular Navier problem of fourth order
| dc.contributor.author | Masmoudi, Syrine | |
| dc.contributor.author | Zribi, Malek | |
| dc.date.accessioned | 2020-09-14T21:05:28Z | |
| dc.date.available | 2020-09-14T21:05:28Z | |
| dc.date.issued | 2003-02-28 | |
| dc.description.abstract | We present an existence result for a nonlinear singular differential equation of fourth order with Navier boundary conditions. Under appropriate conditions on the nonlinearity ƒ(t, x, y), we prove that the problem L2u = L(Lu) = ƒ(., u, Lu) a.e. in (0, 1), u'(0) = 0, (Lu)' (0) = 0, u(1) = 0, Lu(1) = 0. has a positive solution behaving like (1 - t) on [0, 1]. Here L is a differential operator of second order, Lu = 1/A(au')'. For f(t, x, y) = f(t, x), we prove a uniqueness result. Our approach is based on estimates for Green functions and on Schauder's fixed point theorem. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Masmoudi, S., & Zribi, M. (2003). Nonlinear singular Navier problem of fourth order. <i>Electronic Journal of Differential Equations, 2003</i>(19), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/12610 | |
| 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 singular Navier problem | |
| dc.subject | Green function | |
| dc.subject | Positive solution | |
| dc.title | Nonlinear singular Navier problem of fourth order | |
| dc.type | Article |