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periodic solutions for a class of perturbed fifth-order autonomous differential equations via averaging theory
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نویسنده
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berrehail chems eddine ,makhlouf amar
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 2 - صفحه:2479 -2491
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چکیده
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In this work, we use the averaging theory of first order to study the periodic solutions of the perturbed fifth-order autonomous differential equation x (5) − λ x.... + (p² + 1)x... − λ(p² + 1)x¨ + p²x˙ − λp²x = εf(x, x˙, x¨, x..., x....), where λ, and ε are real parameters, p is rational number different from −1, 0, 1, ε is a small enough and f ∈ c² is a nonlinear autonomous function. we present some applications to illustrate our main results.
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کلیدواژه
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periodic orbit ,fifth-order differential equation ,averaging theory
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آدرس
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badji mokhtar-annaba university, laboratory of applied mathematics, algeria, badji mokhtar-annaba university, laboratory of applied mathematics, algeria
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پست الکترونیکی
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makhloufamar@yahoo.fr
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Authors
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