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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 parameter. It is known...

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Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkki: Tetsutaro Shibata
Materiálatiipa: Artigo
Giella:Inglês
Almmustuhtton: Texas State University 2019-05-01
Ráidu:Electronic Journal of Differential Equations
Fáttát:
Liŋkkat:http://ejde.math.txstate.edu/Volumes/2019/62/abstr.html
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