Geodesic
On difference linear periodic systems II. Non-homogeneous case
Applications of Mathematics, Tome 30 (1985) no. 6, pp. 403-412
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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.
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.
DOI : 10.21136/AM.1985.104170
Classification : 39A10, 39A11, 39A12, 93D05
Keywords: reduction; explicit solution; non-homogeneous system; periodic system; asymptotic behaviour; periodic solutions 
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Zaballa, Ion; Gracia, Juan M. On difference linear periodic systems II. Non-homogeneous case. Applications of Mathematics, Tome 30 (1985) no. 6, pp. 403-412. doi: 10.21136/AM.1985.104170

[1] R. Bellman: On the boundedness of solutions of nonlinear differential and difference equations. Trans. Amer. Math. Soc. 62 (1974), no. 3, 357-386. | DOI | MR

[2] A. Halanay D. Wexler: Qualitative Theory of Sampled-Data Systems. (Russian translation), Mir, Moscow (1971). | MR

[3] I. Zaballa J. M. Gracia: On difference linear periodic systems I. Homogeneous case. Apl. mat. 28 (1983) 241-248. | MR

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