Geodesic
On four-point boundary value problem without growth conditions
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 241-248.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We prove the existence of solutions of four-point boundary value problems under the assumption that $f$ fulfils various combinations of sign conditions and no growth restrictions are imposed on $f$. In contrast to earlier works all our results are proved for the Carathéodory case.
Classification : 34B10, 34B15 
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     author = {Rach\r{u}nkov\'a, Irena},
     title = {On four-point boundary value problem without growth conditions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {241--248},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {1999},
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     zbl = {0955.34008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a2/}
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Rachůnková, Irena. On four-point boundary value problem without growth conditions. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 241-248. http://geodesic.mathdoc.fr/item/CMJ_1999__49_2_a2/