A Second Order ODE with a Nonlinear Final Condition

Date

2001-12-10

Authors

Amster, Pablo
Mariani, Maria Cristina

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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].

Description

Keywords

Nonlinear boundary-value problems, Fixed point methods

Citation

Amster, 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.

Rights

Attribution 4.0 International

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