Geodesic
Ordinary Differential Equations with Delta Function Terms
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 125 .

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This article is devoted to nonlinear ordinary differential equations with additive or multiplicative terms consisting of Dirac delta functions or derivatives thereof. Regularizing the delta function terms produces a family of smooth solutions. Conditions on the nonlinear terms, relating to the order of the derivatives of the delta function part, are established so that the regularized solutions converge to a limiting distribution.
Classification : 46F10 34A37 
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     author = {Marko Nedeljkov and Michael Oberguggenberger},
     title = {Ordinary {Differential} {Equations} with {Delta} {Function} {Terms}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {125 },
     publisher = {mathdoc},
     volume = {_N_S_91},
     number = {105},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a10/}
}
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Marko Nedeljkov; Michael Oberguggenberger. Ordinary Differential Equations with Delta Function Terms. Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 125 . http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a10/