Nonresonance case for differential equations with degeneration

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• 作者：M. S. Volnukhin (1)
  
• 刊名：Differential Equations
• 出版年：2014
• 出版时间：March 2014
• 年：2014
• 卷：50
• 期：3
• 页码：335-344
• 全文大小：
• 参考文献：1. Korovina, M.V. and Shatalov, V.E., Differential Equations with Degeneration and Resurgent Analysis / Differ. Uravn., 2010, vol. 46, no. 9, pp. 1259鈥?277.
  2. Ecalle, J., / Les Fonctions Resurgentes, Paris, 1981, vol. 1, 2; 1985, vol. 3.
  3. Korovina, M.V., Asymptotics of Solutions of Equations with Higher Degenerations, / Differ. Uravn., 2012, vol. 48, no. 5, pp. 710鈥?22.
  
• 作者单位：M. S. Volnukhin (1)
  
  1. Moscow State University, Moscow, Russia
  
• ISSN：1608-3083

文摘

We study what form the asymptotics of solutions of degenerate elliptic equations have in the nonresonance case under the condition that the asymptotics of the right-hand side have the form corresponding to the class of asymptotics of the nonresonance case, that is, the case in which the singularities of the right-hand side do not coincide with the zeros of the left-hand side. We show that, in the resonance case, the problem is no longer closed in this class.