Amster, PabloMariani, Maria Cristina2020-01-082020-01-082001-12-10Amster, P., & Mariani, M. C. (2001). A second order ODE with a nonlinear final condition. <i>Electronic Journal of Differential Equations, 2001</i>(75), pp. 1-9.1072-6691https://hdl.handle.net/10877/9154We 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].Text9 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear boundary-value problemsFixed point methodsArticle