On Generalized Weakly Nonlinear Regular Differential Systems

K.I. Grigoris, K.D. Athanasios, and P.A. Athanasios (Greece)


Matrix Pencil theory, Generalized weakly nonlinear regular differential system


In this paper, the generalized weakly nonlinear regular differential systems are studied. By using the Weierstrass canonical form, the weakly nonlinear system above is decomposed in two subsystems, whose solutions are obtained. Moreover, the form of the initial condition is given, so that the corresponding initial value problem is uniquely solvable.

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