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On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden–Fowler type differential equations

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Abstract For higher-order Emden–Fowler type equations with regular nonlinearity, the asymptotic behavior of their blow-up solutions is investigated. It is proved that for weakly superlinear differential equations, all such solutions… Click to show full abstract

Abstract For higher-order Emden–Fowler type equations with regular nonlinearity, the asymptotic behavior of their blow-up solutions is investigated. It is proved that for weakly superlinear differential equations, all such solutions have power-law asymptotic behavior.

Keywords: asymptotic behavior; behavior blow; blow solutions; differential equations; emden fowler; fowler type

Journal Title: Georgian Mathematical Journal
Year Published: 2017

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