Geodesic
Second order nonlinear differential equations with linear impulse and periodic boundary conditions
Applications of Mathematics, Tome 56 (2011) no. 6, pp. 591-606.

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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.
DOI : 10.1007/s10492-011-0035-y
Classification : 34B15, 34B27, 34B37, 34C25, 47N20
Keywords: impulse conditions; periodic boundary conditions; Green's function; fixed point theorems 
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Huseynov, Aydin. Second order nonlinear differential equations with linear impulse and periodic boundary conditions. Applications of Mathematics, Tome 56 (2011) no. 6, pp. 591-606. doi : 10.1007/s10492-011-0035-y. http://geodesic.mathdoc.fr/articles/10.1007/s10492-011-0035-y/

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