Geodesic
BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM
Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 531-537

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DOI

We use an intermediate value theorem for quasi-monotone increasing functions to prove the existence of the smallest and the greatest solution of the Dirichlet problem u′′ + f(t, u) = 0, u(0) = α, u(1) = β between lower and upper solutions, where f:[0,1] × E → E is quasi-monotone increasing in its second variable with respect to a regular cone.
DOI : 10.1017/S0017089508004394
Mots-clés : 34B15, 34C12, 34G20 
HERZOG, GERD; LEMMERT, ROLAND. BOUNDARY VALUE PROBLEMS VIA AN INTERMEDIATE VALUE THEOREM. Glasgow mathematical journal, Tome 50 (2008) no. 3, pp. 531-537. doi: 10.1017/S0017089508004394
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     journal = {Glasgow mathematical journal},
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     doi = {10.1017/S0017089508004394},
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