Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions

@article{Franco2004ExistenceOS,
  title={Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions},
  author={Daniel Franco and Juan J. Nieto and Donal O'Regan},
  journal={Applied Mathematics and Computation},
  year={2004},
  volume={153},
  pages={793-802}
}
We present an existence theorem for nonlinear ordinary differential equations of first order with nonlinear boundary conditions. The result includes, for instance, the initial value problem, the final value problem, and the antiperiodic boundary value problem. The main novelty of the method lies in that it unifies different techniques for initial or… CONTINUE READING