On stability of the solutions for systems of differential equations with variable coefficients

Abstract

This thesis is devoted to studying stability of solutions of differential equations with variable coefficients without requiring knowledge of their solutions. We have studying stability of solutions for linear differential systems with variable coefficient by using a technique depends on transforming the system to suitable triangular system; Then we use Lyapunov's transformation to transform the system to a diagonal form which enables us to study the stability of solutions of the system by