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Journal of Difference Equations and Applications Volume 9, 2003 - Issue 6
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Original Articles

Asymptotic Behavior of the Solutions of the Difference Equation x_{n + 1} = x_{n}^{2} f(xn-1)

George L. KarakostasCorrespondence[email protected]
Pages 599-602 | Received 27 Sep 2002, Accepted 15 Oct 2002, Published online: 12 May 2010

Citations (17)

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Read on this site (4)

Stevo Stević, Josef Diblík, Bratislav Iričanin & Zdeněk Šmarda. (2014) On a solvable system of rational difference equations. Journal of Difference Equations and Applications 20:5-6, pages 811-825.
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Stevo Stević. (2014) On a cyclic system of difference equations. Journal of Difference Equations and Applications 20:5-6, pages 733-743.
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George L. Karakostas & Toufik Mansour . (2004) Sharp Boundedness Conditions for a Difference Equation via the Chebyshev Polynomials. Journal of Difference Equations and Applications 10:11, pages 941-948.
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G.L. Karakostas & S. Stević . (2004) On the difference equation x +1 = Af(x ) + f(x −1). Applicable Analysis 83:3, pages 309-323.
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Articles from other publishers (13)

Stevo Stević. (2023) Solvability and representations of the general solutions to some nonlinear difference equations of second order. AIMS Mathematics 8:7, pages 15148-15165.
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Stevo Stević, Bratislav Iričanin & Witold Kosmala. (2023) On a family of nonlinear difference equations of the fifth order solvable in closed form. AIMS Mathematics 8:10, pages 22662-22674.
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Stevo Stević & Durhasan Turgut Tollu. (2023) On a two-dimensional nonlinear system of difference equations close to the bilinear system. AIMS Mathematics 8:9, pages 20561-20575.
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Stevo Stević, Mohammed A. Alghamdi & Abdullah Alotaibi. (2015) Boundedness character of the recursive sequence . Applied Mathematics Letters 50, pages 83-90.
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Stevo Stević, Mohammed A. Alghamdi, Abdullah Alotaibi & Naseer Shahzad. (2014) Long-term behavior of positive solutions of a system of max-type difference equations. Applied Mathematics and Computation 235, pages 567-574.
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Stevo Stević. (2014) On positive solutions of some classes of max-type systems of difference equations. Applied Mathematics and Computation 232, pages 445-452.
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Stevo Stević, Mohammed A. Alghamdi, Abdullah Alotaibi & Naseer Shahzad. (2013) On a nonlinear second order system of difference equations. Applied Mathematics and Computation 219:24, pages 11388-11394.
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Stevo Stević. (2013) On a solvable system of difference equations of kth order. Applied Mathematics and Computation 219:14, pages 7765-7771.
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Stevo Stević. (2012) Application of difference equations in divisibility. Applied Mathematics and Computation 219:4, pages 2060-2066.
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Stevo Stević. (2012) Difference equations and nonexistence of solutions of an integral equation. Applied Mathematics and Computation 219:4, pages 1998-2003.
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Stevo Stević. (2012) On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument. Applied Mathematics and Computation 218:20, pages 10188-10193.
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Stevo Stević. (2012) Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations. Applied Mathematics and Computation 218:15, pages 7813-7817.
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Bratislav Iričanin & Stevo Stević. (2009) On a class of third-order nonlinear difference equations. Applied Mathematics and Computation 213:2, pages 479-483.
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