PERIODIC SOLUTIONS OF NONLINEAR SECOND-ORDER DIFFERENCE EQUATIONS ´ JESUS RODRIGUEZ AND DEBRA LYNN pdf

... SECOND-ORDER DIFFERENCE EQUATIONS JES ´ US RODRIGUEZ AND DEBRA LYNN ETHERIDGE Received 6 August 2004 We establish conditions for the existence of periodic solutions of nonlinear, second-order difference equations ... bounded, and maps onto Im(U), and that Q((I −E)x) =0ifandonlyif(I −E)x =0.  180 Periodic solutions of nonlinear second-order differenc...

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... existence of periodic solutions of discrete difference equations, Uzbekski ˘ ı Matematicheski ˘ ı Zhurnal (1995), no. 3, 88–90 (Russian). [10] Kh. Turaev, On the existence and uniqueness of periodic solutions ... Elaydi and S. Zhang, Stability and periodicity of difference equations with finite delay, Funkcialaj Ekvacioj. Serio Internacia 37 (1994), no. 3, 401–413. [3]M....

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... 105–116, 1989. 3 Y. Song and H. Tian, Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay,” Journal of Computational and Applied Mathematics, ... almost periodic solutions of nonlinear Volterra difference equations with unbounded delay,” Journal of Difference Equations and Applications, vol. 14, no. 9, pp. 971...

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... V ¯ ξ . STABILITY OF PERIODIC SOLUTIONS OF FIRST-ORDER DIFFERENCE EQUATIONS LYING BETWEEN LOWER AND UPPER SOLUTIONS ALBERTO CABADA, VICTORIA OTERO-ESPINAR, AND DOLORES RODR ´ IGUEZ-VIVERO Received ... α ≡− 1and ≡ 2 is a pair of lower and upper solutions that are no solutions of this problem and conditions (H )and( Hf)holdin[α,β]forN = 1. Remark 4.4. It is imp...

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... behavior of the solutions of a related family of systems of two parametric ordinary difference equations and then, using t hese results and the fuzzy analog of some concepts known by the theory of ordinary ... (2.7) 3. Existence and uniqueness of the positive solutions of fuzzy difference equations (1.1 )and( 1.2) In this section, we study the existence and the u...

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... possible values of the limits of y and of Δy. Solutions in M  ∞,B , M  ∞,0 , M  B,0 are sometimes called, respectively, dominant solutions, intermediate solutions, and subdominant solutions, since, ... positive solutions is particularly meaningful in the study of dominant and recessive solutions. Let Advances in Difference Equations 13 R denote the set of all posit...

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... Equations Volume 2009, Article ID 982681, 10 pages doi:10.1155/2009/982681 Research Article Meromorphic Solutions of Some Complex Difference Equations Zhi-Bo Huang and Zong-Xuan Chen School of ... purpose of this paper is to present the properties of the meromorphic solutions of complex difference equations of the form  {J} α J z  j∈J fz  c j   Rz, fz,wh...

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... estimates of solutions of difference equations, ” Journal of Mathematical Analysis and Applications, vol. 94, no. 1, pp. 181–192, 1983. 19 W. F. Trench, “Asymptotic behavior of solutions of Poincar ´ e ... Gy ˝ ori and L ´ aszl ´ oHorv ´ ath Department of Mathematics and Computing, University of Pannonia, 8200 Veszpr ´ em, Egyetem u. 10, Hungary C...

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... existence of periodic solutions for Li ´ enard’s equation, Nonlinear Analysis 7 (1983), no. 1, 71–78. [15] Z. Wang, Periodic solutions of the second-order forced Li ´ enard equation via time maps, Nonlinear Analysis. ... Iannacci, and F. Zanolin, Existence and multiplicity results for periodic solutions of semilinear Duffing equations, JournalofDiffer ential...

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... the limits lim inf and limsup are finite by the appli- cation of Lemmas 2.1, 2.2 ,and2 .3 as in the proof of Theorem 3.1.Hence,theproofof Corollary 4.2 is complete.  A. Rodkina and H. Schurz 253 Then, ... ε 2 . (3.5) GLOBAL ASYMPTOTIC STABILITY OF SOLUTIONS OF CUBIC STOCHASTIC DIFFERENCE EQUATIONS ALEXANDRA RODKINA AND HENRI SCHURZ Received 18 September 2003 and in revis...

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