On Kneser solutions to the Emden-Fowler differential equation with a negative exponent (Q2761388)
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scientific article; zbMATH DE number 1683429
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Kneser solutions to the Emden-Fowler differential equation with a negative exponent |
scientific article; zbMATH DE number 1683429 |
Statements
18 December 2001
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Emden-Fowler equation
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Kneser solutions
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On Kneser solutions to the Emden-Fowler differential equation with a negative exponent (English)
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For the Emden-Fowler differential equation with a negative exponent, necessary and sufficient conditions are established for the existence and uniqueness of Kneser solutions vanishing at infinity and two-sided estimates on such solutions are obtained which can not be improved in some sense. Conditions for the existence of a one-parameter family of separated from zero Kneser solutions and solvability conditions for the Kneser problem are also found.
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