Article
MSC:
34B15,
34B27,
34B37,
34C25,
47N20 | MR 2886240 | Zbl 1249.34097 | DOI: 10.1007/s10492-011-0035-y
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Keywords:
impulse conditions; periodic boundary conditions; Green's function; fixed point theorems
impulse conditions; periodic boundary conditions; Green's function; fixed point theorems
Summary:
In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
References:
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