A Second Order ODE with a Nonlinear Final Condition
dc.contributor.author | Amster, Pablo | |
dc.contributor.author | Mariani, Maria Cristina | |
dc.date.accessioned | 2020-01-08T15:38:20Z | |
dc.date.available | 2020-01-08T15:38:20Z | |
dc.date.issued | 12/10/2001 | |
dc.description.abstract | We study a semilinear second-order ordinary differential equation with initial condition u(0) = u0. We prove the existence of solutions satisfying a nonlinear final condition u(T) = h'(u(T)), under a certain growth condition. Also we state conditions ensuring that any solution with Cauchy data u(0) = u0, u'(0) = v0 is defined on the whole interval [0, T]. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 9 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Amster, P., & Mariani, M. C. (2001). A second order ODE with a nonlinear final condition. Electronic Journal of Differential Equations, 2001(75), pp. 1-9. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/9154 | |
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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Nonlinear boundary-value problems | |
dc.subject | Fixed point methods | |
dc.title | A Second Order ODE with a Nonlinear Final Condition | |
dc.type | Article |