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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…
math.CA2016
An application of coincidence degree theory to cyclic feedback type systems associated with nonlinear differential operators
Guglielmo Feltrin, Fabio Zanolin
Using Mawhin's coincidence degree theory, we obtain some new continuation theorems which are designed to have as a natural application the study of the periodic problem for cyclic…
math.CA2016
Multiple positive solutions of a Sturm-Liouville boundary value problem with conflicting nonlinearities
Guglielmo Feltrin
We study the second order nonlinear differential equation \begin{equation*} u"+ \sum_{i=1}^{m} α_{i} a_{i}(x)g_{i}(u) - \sum_{j=0}^{m+1} β_{j} b_{j}(x)k_{j}(u) = 0, \end{equation*}…