Doğrusal olmayan problemlerin çözümlerinin davranışları

In this study we consider nonlinear system of ordinary differential equations of the form x? (t) = f(t; x); x 2 Rn; t 2 R In chapter 2, to discuss the behavior of solution we give stability by linearization and related theorems with applications. In chapter 3, we introduce the quasilinearization method for approximate solution of two point nonlinear boundary value problem, with some applications. Convergency theorem for the method is also given. Keywords: Stability, Poincare Lyapunov, Quasilinearization Method.