| A Nonlinear Analysis Approach to Asymptotic Behavior of Solutions of the Generalized Emden-Fowler Equation |
| Received:July 30, 2024 Revised:October 10, 2024 |
| Key Words:
The generalized Emden-Fowler equation asymptotic behavior k-set contractions
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| Fund Project:The National Nature Science Foundation of China (No. 12001397, 12171039) |
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| Abstract: |
| We introduce a new method to study asymptotic behavior of solutions on the basis of the continuation theory for k-set contractions. We apply this technique to show the existence of nontrivial decaying solutions to the sup-linear generalized Emden-Fowler equation and the existence of asymptotically linear solutions to the sub-linear one. |
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