Geodesic
Conditions of existence quasiperiodic solutions for some nonlinear differential equations of second order and third power
Kragujevac Journal of Mathematics, Tome 28 (2005) no. 1 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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CONDITIONS OF EXISTENCE QUASIPERIODIC SOLUTIONS FOR SOME NONLINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER AND THIRD POWERMarija Kujumdzieva-Nikoloska1 and Jordanka Mitevska21Faculty of Electrical Engineering, University "St. Kiril and Methodius", Skopje, R. Macedonia (e-mail: marekn@etf.ukim.edu.mk)2Faculty of Natural Sciences and Mathematics, Department of Mathematics University "St. Kiril and Methodius", Skopje, R. Macedonia (e-mail: jordanka@iunona.pmf.ukim.edu.mk) Abstract. Using the condition of quasiperiodicity of the solution to the nonlinear differential equation of second order (1), we reduce it to the linear differential equation of second or first order. Then we find conditions of existence quasiperiodic solutions with a constant quasiperiod and give the form of the solutions. Used abbreviations: differential equation (DFE), quasiperiod (QP), periodic solution (PS), quasiperiodic solution (QPS), quasiperiodic coefficient (QPC) 
@article{KJM_2005_28_1_a17,
     author = {Marija Kujumdzieva-Nikoloska and Jordanka Mitevska},
     title = {Conditions of existence quasiperiodic solutions for some nonlinear differential equations of second order and third power},
     journal = {Kragujevac Journal of Mathematics},
     pages = {215 - 224},
     year = {2005},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/KJM_2005_28_1_a17/}
}
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Marija Kujumdzieva-Nikoloska; Jordanka Mitevska. Conditions of existence quasiperiodic solutions for some nonlinear differential equations of second order and third power. Kragujevac Journal of Mathematics, Tome 28 (2005) no. 1. http://geodesic.mathdoc.fr/item/KJM_2005_28_1_a17/