Displaying similar documents to “On the behaviour of the solutions and their first ( n - 1 ) derivatives of the n -th order differential equations with periodic coefficients”

On difference linear periodic systems. I. Homogeneous case

Ion Zaballa, Juan-Miguel Gracia (1983)

Aplikace matematiky

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The paper deals with the reduction of a linear homogeneous periodic system in differences (recurrence relations) to another linear homogeneous system with constant coefficients. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior, and to obtain all solutions in closed form.

Approximation of periodic solutions of a system of periodic linear nonhomogeneous differential equations

Alexander Fischer (2004)

Applications of Mathematics

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The present paper does not introduce a new approximation but it modifies a certain known method. This method for obtaining a periodic approximation of a periodic solution of a linear nonhomogeneous differential equation with periodic coefficients and periodic right-hand side is used in technical practice. However, the conditions ensuring the existence of a periodic solution may be violated and therefore the purpose of this paper is to modify the method in order that these conditions...

On difference linear periodic systems II. Non-homogeneous case

Ion Zaballa, Juan-Miguel Gracia (1985)

Aplikace matematiky

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This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.