On positive solutions for a nonlinear boundary value problem with impulse
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 247-265.

Voir la notice de l'article dans Czech Digital Mathematics Library

In this paper we study nonlinear second order differential equations subject to separated linear boundary conditions and to linear impulse conditions. Sign properties of an associated Green’s function are investigated and existence results for positive solutions of the nonlinear boundary value problem with impulse are established. Upper and lower bounds for positive solutions are also given.
Classification : 34A37, 34B15, 34B18, 34B37, 47N20
Mots-clés : impulse conditions; Green’s function; completely continuous operator; fixed point theorem in cones 
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     title = {On positive solutions for a nonlinear boundary value problem with impulse},
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Bereketoglu, Huseyin; Huseynov, Aydin. On positive solutions for a nonlinear boundary value problem with impulse. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 247-265. https://geodesic-test.mathdoc.fr/item/CMJ_2006__56_1_a14/