Upper and Lower Solutions for First-Order Discontinuous Ordinary Differential Equations

First-Order Singular and Discontinuous Differential Equations

Order Ordinary Differential Equations

The DI methods for directly solving a system ofa general higher order ODEs are discussed. The convergence of the constant stepsize and constant order formulation of the DI methods is proven first before the convergencefor the variable order and stepsize case.

Discontinuous Ordinary Differential Equations and Stabilization

Aknowledgements I am very pleased to have the opportunity here to express my sincere thanks to Professor Bacciotti who has guided me in the study of mathematics for five years, giving me confidence and transmitting his fondness for this discipline. Particular thanks also to Professor Conti. It has been really a pleasure to attend his course in Control Theory during my first year in Firenze and ...

Existence Theory for First Order Discontinuous Functional Differential Equations

We prove the existence of extremal solutions for a first order functional differential equation subject to nonlinear boundary conditions of functional type. Moreover, the functions that define our problem are allowed to be discontinuous. The proof of our main result is based on a generalized iterative technique.

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

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 boundary conditions.