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math.CA2017★ 11 cited
An indefinite nonlinear problem in population dynamics: high multiplicity of positive solutions
Guglielmo Feltrin, Elisa Sovrano
Reaction-diffusion equations have several applications in the field of population dynamics and some of them are characterized by the presence of a factor which describes different…
math.CA2017
Three positive solutions to an indefinite Neumann problem: a shooting method
Guglielmo Feltrin, Elisa Sovrano
We deal with the Neumann boundary value problem \begin{equation*} \begin{cases} \, u" + \bigl{(} λa^{+}(t)-μa^{-}(t) \bigr{)}g(u) = 0, \\ \, 0 < u(t) < 1, \quad \forall\, t\in\math…
math.CA2017
Positive subharmonic solutions to superlinear ODEs with indefinite weight
Guglielmo Feltrin
We study the positive subharmonic solutions to the second order nonlinear ordinary differential equation \begin{equation*} u'' + q(t) g(u) = 0, \end{equation*} where has sup…