Examples of the nonexistence of a solution in the presence of upper and lower solutions
(2003) The A N Z I A M Journal — Vol. 44, p. 591-594 (2003)
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- Standard results for boundary value problems involving second-order ordinary differential equations ensure that the existence of a well-ordered pair of lower and upper solutions together with a Nagumo condition imply existence of a solution. In this note we introduce some examples which show that existence is not guaranteed if no Nagumo condition is satisfied.
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Habets, P., & Pouso, R. (2003). Examples of the nonexistence of a solution in the presence of upper and lower solutions. The A N Z I A M Journal, 44, 591-594. https://doi.org/10.1017/S1446181100012955 (Original work published 2003)