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- W4299594492 abstract "We study the periodic boundary value problem associated with the second order nonlinear differential equation $$ u + c u' + left(a^{+}(t) - mu , a^{-}(t)right) g(u) = 0, $$ where $g(u)$ has superlinear growth at zero and at infinity, $a(t)$ is a periodic sign-changing weight, $cinmathbb{R}$ and $mu>0$ is a real parameter. We prove the existence of $2^{m}-1$ positive solutions when $a(t)$ has $m$ positive humps separated by $m$ negative ones (in a periodicity interval) and $mu$ is sufficiently large. The proof is based on the extension of Mawhin's coincidence degree defined in open (possibly unbounded) sets and applies also to Neumann boundary conditions. Our method also provides a topological approach to detect subharmonic solutions." @default.
- W4299594492 created "2022-10-02" @default.
- W4299594492 creator A5063421765 @default.
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- W4299594492 date "2015-08-08" @default.
- W4299594492 modified "2023-09-26" @default.
- W4299594492 title "Multiplicity of positive periodic solutions in the superlinear indefinite case via coincidence degree" @default.
- W4299594492 doi "https://doi.org/10.48550/arxiv.1508.01867" @default.
- W4299594492 hasPublicationYear "2015" @default.
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