Geodesic
Impulsive periodic boundary value problem
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 33-53.

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In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation $(I-F)u = 0$ on a certain set $\Omega $ that is established using properties of strict lower and upper functions of the boundary value problem.
Classification : 34B15, 34B37, 34C25
Keywords: Boundary value problem; topological degree; upper and lower functions; impulsive problem; periodic solution; differential equation. 
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     title = {Impulsive periodic boundary value problem},
     journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
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Draessler, Jan. Impulsive periodic boundary value problem. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 43 (2004) no. 1, pp. 33-53. http://geodesic.mathdoc.fr/item/AUPO_2004__43_1_a3/