Ordinary Differential Equations with Delta Function Terms
Publications de l'Institut Mathématique, _N_S_91 (2012) no. 105, p. 125
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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
@article{PIM_2012_N_S_91_105_a10,
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/}
}
TY - JOUR AU - Marko Nedeljkov AU - Michael Oberguggenberger TI - Ordinary Differential Equations with Delta Function Terms JO - Publications de l'Institut Mathématique PY - 2012 SP - 125 VL - _N_S_91 IS - 105 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a10/ LA - en ID - PIM_2012_N_S_91_105_a10 ER -
%0 Journal Article %A Marko Nedeljkov %A Michael Oberguggenberger %T Ordinary Differential Equations with Delta Function Terms %J Publications de l'Institut Mathématique %D 2012 %P 125 %V _N_S_91 %N 105 %I mathdoc %U http://geodesic.mathdoc.fr/item/PIM_2012_N_S_91_105_a10/ %G en %F PIM_2012_N_S_91_105_a10
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/