Asymptotic expansion formulas for the maximum of solutions to diffusive logistic equations
We consider the nonlinear eigenvalue problems $$displaylines{ -u''(t) + u(t)^p = lambda u(t),cr u(t) > 0, quad t in I := (0, 1), quad u(0) = u(1) = 0, }$$ where $p > 1$ is a constant and $lambda > 0$ is a parameter. This equation is well known as the original logistic equat...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/161/abstr.html |