What is it about?
It is about the second order ordinary differential equation with a cubic non-linearity that has a coefficient depending on time and this coefficient is a piece-wise (step) function.
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Why is it important?
It provides relatively simple example of a problem that has countable number of solutions. Previously it was believed that this problem has three solutions.
Perspectives
Examples can be provided of problems of classical calculus of variations that have multiple minimizers as well as maximizers.
professor Felix Sadyrbaev
Institute of Mathematics and Computer Science, University of Latvia
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This page is a summary of: Extension of the example by Moore-Nehari, Tatra Mountains Mathematical Publications, January 2015, De Gruyter,
DOI: 10.1515/tmmp-2015-0024.
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