asymptotic behavior of intermediate solutions of fourth-order nonlinear differential equations with regularly varying coefficients

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ID: 252464
2016
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Ranked #104 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings

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Abstract
We study the fourth-order nonlinear differential equation $$ \big(p(t)|x''(t)|^{\alpha-1} x''(t)\big)''+q(t)|x(t)|^{\beta-1}x(t)=0,\quad \alpha>\beta, $$ with regularly varying coefficient $p,q$ satisfying $$ \int_a^\infty t\Big(\frac{t}{p(t)}\Big)^{1/\alpha}\,dt<\infty. $$ in the framework of regular variation. It is shown that complete information can be acquired about the existence of all possible intermediate regularly varying solutions and their accurate asymptotic behavior at infinity.
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trajkovic2016electronicasymptotic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Aleksandra Trajkovic;Jelena V. Manojlovic
Journal icsoft 2006 - 1st international conference on software and data technologies, proceedings
Year 2016
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