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Nonlinear sturm‐lionville problems for second order ordinary differential equations
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This article is published in Communications on Pure and Applied Mathematics.The article was published on 1970-11-01. It has received 119 citations till now. The article focuses on the topics: Oscillation theory & Stochastic partial differential equation.read more
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Periodic Solutions of the Forced Pendulum: Exchange of Stability and Bifurcations
TL;DR: In this article, the T-periodic solutions of the forced pendulum equation were studied and the dependence of the set of T-time solutions on the forcing strength λ was investigated.
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Boundary value problems for second order, ordinary differential equations involving a parameter☆
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Non-Local Cell Adhesion Models: Steady States and Bifurcations
TL;DR: The modelling of cellular adhesions, which is a key interaction between biological cells, is considered, and a global bifurcation result for the branches of non-trivial solutions is obtained.
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Bifurcations from the orbit of solutions of the Neumann problem
TL;DR: In this article, the authors consider weak solutions of a nonlinear Neumann problem considered on a ball and formulate sufficient conditions for local and global bifurcations, in terms of the right-hand side of the system and eigenvalues of the Laplace operator.
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A path crossing lemma and applications to nonlinear second order equations under slowly varyng perturbations
Anna Pascoletti,Fabio Zanolin +1 more
TL;DR: In this article, the authors present some recent results on the existence of periodic solutions and chaotic like dynamics for second order scalar nonlinear ODEs, based on the concept of stretching along the paths.
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