We consider the nonlinear eigenvalue problems
where is a constant and is a parameter. This equation is well known as the original logistic equation of population dynamics when . We establish the precise asymptotic formula for -norm of the solution as when and .
Submitted May 07, 2008. Published December 9, 2008.
Math Subject Classifications: 34B15.
Key Words: Logistic equation; -norm of solutions.
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| Tetsutaro Shibata |
Department of Applied Mathematics
Graduate School of Engineering, Hiroshima University
Higashi-Hiroshima, 739-8527, Japan
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