Two-Point Boundary Value Problems: Lower and Upper Solutions

By C. Coster, P. Habets. 2012

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Multiple homoclinic solutions for the discrete p-Laplacian via critical point theory (2013, methodology): “What happens for small λ > 0, is a technical and open question at the present stage, which can be a matter of further studies (possibly, one could combine variational methods and upper and lower solutions, like in De Coster and Habets [11]).”
Method of upper and lower solutions for fractional differential equations (2012, methodology): “The theory of upper and lower solutions is known to be an effective method to deal with the boundary-value problems of the ordinary differential equations and functional differential equations, (see [14, 15, 16, 17, 18, 19, 20, 21, 22]).”