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global behavior of a second order difference equation with two-period coefficient
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نویسنده
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tollu durhasan turgut ,yıldırım ali
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 4 - صفحه:1 -21
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چکیده
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In this paper, we present a detailed study of the following difference equation xn+1 = αn 1 + xnxn−1 , n ∈ n0, where the sequence (αn)n≥0 is positive, real, periodic with period two and the initial values x−1, x0 are nonnegative real numbers. by this study, we determine global behavior of positive solutions of the above mentioned equation. we also give closed forms of its general solution.
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کلیدواژه
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closed form solution ,difference equations ,global behavior ,periodic solution ,periodic coefficients.
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آدرس
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necmettin erbakan university, faculty of science, department of mathematics and computer sciences, turkey, republic of turkey, ministry of national education, faculty of science, kilis mehmet sanlı vocational and technical anatolian high school, turkey
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پست الکترونیکی
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ayildirim33@hotmail.com
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Authors
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