On positive solutions for a nonlinear boundary value problem with impulse
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 1, pp. 247-265
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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.
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
Keywords: impulse conditions; Green’s function; completely continuous operator; fixed point theorem in cones
Keywords: impulse conditions; Green’s function; completely continuous operator; fixed point theorem in cones
@article{CMJ_2006_56_1_a14,
author = {Bereketoglu, Huseyin and Huseynov, Aydin},
title = {On positive solutions for a nonlinear boundary value problem with impulse},
journal = {Czechoslovak Mathematical Journal},
pages = {247--265},
year = {2006},
volume = {56},
number = {1},
mrnumber = {2207016},
zbl = {1164.34371},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_1_a14/}
}
TY - JOUR AU - Bereketoglu, Huseyin AU - Huseynov, Aydin TI - On positive solutions for a nonlinear boundary value problem with impulse JO - Czechoslovak Mathematical Journal PY - 2006 SP - 247 EP - 265 VL - 56 IS - 1 UR - http://geodesic.mathdoc.fr/item/CMJ_2006_56_1_a14/ LA - en ID - CMJ_2006_56_1_a14 ER -
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. http://geodesic.mathdoc.fr/item/CMJ_2006_56_1_a14/