Geodesic
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 1-17

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
DOI : 10.4064/ap-71-1-1-17
Keywords: discontinuous implicit differential equations, discontinuous implicit boundary conditions, ordered Banach spaces, fixed point principles in partially ordered sets

S. Carl 1 ; S. Heikkilä 1

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S. Carl; S. Heikkilä. On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions. Annales Polonici Mathematici, Tome 71 (1999) no. 1, pp. 1-17. doi: 10.4064/ap-71-1-1-17

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