On rapidly growing solutions of a class of ordinary differential equations

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Abstract

For high-order ordinary differential equations containing terms with lower order derivatives, sufficient conditions for the absence of rapidly growing solutions are obtained.

About the authors

A. A. Kon’kov

Moscow State University

Author for correspondence.
Email: konkov@mech.math.msu.ru
Russian Federation, 1, Leninskie gory, Moscow, 119991

References

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  2. Kiguradze I. T., Kvinikadze G. G. // Ann. Mat. Pure and Appl. 1982. V. 130. P. 67-87.
  3. Кигурадзе И. Т., Чантурия Т. А. Асимптотические свойства решений неавтономных обыкновенных дифференциальных уравнений. М.: Наука, 1990.
  4. Коньков А. А. // Изв. РАН. Сер. мат. 2001. Т. 65. № 2. С. 81-26.
  5. Коньков А. А. // Тр. семинара имени И. Г. Петровского. 2007. Т. 26. С. 193-222.

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