QUASIPERIODICITY OF THE SOLUTIONS FOR THE DIFFERENTIAL EQUATION OF THE FIRST ORDER

Authors

  • Jordanka Mitevska Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Marija Kujumdzieva-Nikoloska Ss. Cyril and Methodius University in Skopje image/svg+xml Author
  • Dragan Dimitrovski Ss. Cyril and Methodius University in Skopje image/svg+xml Author

Abstract

In this paper we give some conditions for existing quasi-periodic solutions for the differential equation

\[
y' + f(x)y + g(x) = 0
\]

i.e. solutions which satisfy the relation

\[
y(x + \omega(x)) = \lambda y(x).
\]

We formulate seven propositions for existing quasi-periodic solutions for (1), and in a special case periodic solutions determined by (3).

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Published

2004-01-01

Issue

Vol. 28 (2004): 28 (LIV) (2004)

Section

Articles

How to Cite

[1]
J. Mitevska, M. Kujumdzieva-Nikoloska, and D. Dimitrovski, “QUASIPERIODICITY OF THE SOLUTIONS FOR THE DIFFERENTIAL EQUATION OF THE FIRST ORDER”, Mat. Bilt., vol. 28, no. 1, pp. 91–100, Jan. 2004, Accessed: Aug. 14, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1702