Loss of positivity in a nonlinear scalar heat equation

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Solutions of perturbed Hammerstein integral equations with applications (2016, methodology): “Thermostat problems of this kind were studied by Infante and Webb in [45], who were motivated by Guidotti and Merino [30].”
Non‐local boundary value problems of arbitrary order (2009, unknown): “One application has been to a thermostat model [12, 32].”
Positive solutions for systems of m‐point nonlinear boundary value problems (2008, background): “The importance of positive solutions for boundary value problems, both theoretically as well as from the perspective of their applications in physical and engineering sciences, has been well documented in the literature; see, for example, [1, 5, 6, 7, 9, 12, 13, 14, 16, 20, 27].”
Positive solutions for systems of generalized three-point nonlinear boundary value problems (2008, background): “Interest in such solutions is high from both a theoretical sense [3], [5], [8], [11], [18] and as applications for which only positive solutions are meaningful [1], [4], [12], [13].”
Positive Solutions for Systems of nth Order Three-point Nonlocal Boundary Value Problems (2007, unknown): “AMS (MOS) Subject Classifications: 34B18, 34A34”