Asymptotic formulas for oscillatory bifurcation diagrams of semilinear ordinary differential equations
We study the nonlinear eigenvalue problem $$ -u''(t) = \lambda \left(u(t)^p + g(u(t))\right), \quad u(t) > 0, \quad t \in (-1,1), \; u(\pm 1) = 0, $$ where $g(u) = h(u)\sin (u^r)$, $p, r$ are given constants satisfying $p \ge 0$, $0 < r \le 1$ and $\lambda > 0$ is a param...
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| Format: | Article |
| Language: | English |
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Texas State University
2019-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/62/abstr.html |