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Nonlocal problems arising from the birth-jump processes
Published online by Cambridge University Press: 27 December 2018
Abstract
In this paper, we prove the existence and uniqueness of a positive solution for a nonlocal logistic equation arising from the birth-jump processes. For this, we establish a sub-super solution method for nonlocal elliptic equations, we perform a study of the eigenvalue problems associated with these equations and we apply these results to the nonlocal logistic equation.
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- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 2 , April 2019 , pp. 447 - 469
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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