Periodic solutions of nonlinear vector difference equations

1. 1.

   Cheng SS, Zhang G: Positive periodic solutions of a discrete population model. Functional Differential Equations 2000,7(3–4):223–230.

   • MathSciNet
   • MATH
   • Google Scholar
2. 2.

   Elaydi S, Zhang S: Stability and periodicity of difference equations with finite delay. Funkcialaj Ekvacioj. Serio Internacia 1994,37(3):401–413.

   • MathSciNet
   • MATH
   • Google Scholar
3. 3.

   Gil' MI: Periodic solutions of abstract difference equations. Applied Mathematics E-Notes 2001, 1: 18–23.

   • MathSciNet
   • MATH
   • Google Scholar
4. 4.

   Gil' MI: Operator Functions and Localization of Spectra, Lecture Notes in Mathematics. Volume 1830. Springer, Berlin; 2003:xiv+256.

   • Google Scholar
5. 5.

   Gil' MI, Cheng SS: Periodic solutions of a perturbed difference equation. Applicable Analysis 2000,76(3–4):241–248.

   • MathSciNet
   • Article
   • MATH
   • Google Scholar
6. 6.

   Gil' MI, Kang S, Zhang G: Positive periodic solutions of abstract difference equations. Applied Mathematics E-Notes 2004, 4: 54–58.

   • MathSciNet
   • MATH
   • Google Scholar
7. 7.

   Halanay A: Solutions périodiques et presque-périodiques des systèmes d'équations aux différences finies. Archive for Rational Mechanics and Analysis 1963, 12: 134–149. 10.1007/BF00281222

   • MathSciNet
   • Article
   • MATH
   • Google Scholar
8. 8.

   Halanay A, Rǎsvan V: Stability and Stable Oscillations in Discrete Time Systems, Advances in Discrete Mathematics and Applications. Volume 2. Gordon and Breach Science, Amsterdam; 2000.

   • Google Scholar
9. 9.

   Pelyukh GP: On the existence of periodic solutions of discrete difference equations. Uzbekskiĭ Matematicheskiĭ Zhurnal 1995, (3):88–90.

   • Google Scholar
10. 10.

    Turaev Kh: On the existence and uniqueness of periodic solutions of a class of nonlinear difference equations. Uzbekskiĭ Matematicheskiĭ Zhurnal 1994, (2):52–54.

    • Google Scholar
11. 11.

    Zeidler E: Nonlinear Functional Analysis and Its Applications. I. Fixed-point Theorems. Springer, New York; 1986:xxi+897.

    • Google Scholar
12. 12.

    Zhang RY, Wang ZC, Chen Y, Wu J: Periodic solutions of a single species discrete population model with periodic harvest/stock. Computers & Mathematics with Applications 2000,39(1–2):77–90. 10.1016/S0898-1221(99)00315-6

    • MathSciNet
    • Article
    • MATH
    • Google Scholar

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