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Keywords:
impulse conditions; Green’s function; completely continuous operator; fixed point theorem in cones
impulse conditions; Green’s function; completely continuous operator; fixed point theorem in cones
Summary:
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.
References:
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