EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 91(105), pp. 125–135 (2012)

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ORDINARY DIFFERENTIAL EQUATIONS WITH DELTA FUNCTION TERMS

Marko Nedeljkov, Michael Oberguggenberger

Department of Mathematics, University of Novi Sad, Novi Sad, Serbia; Unit of Engineering Mathematics, University of Innsbruck, Innsbruck, Austria

Abstract: 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 (MSC2000): 46F10; 34A37

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Electronic fulltext finalized on: 10 May 2012. This page was last modified: 12 Jun 2012.

© 2012 Mathematical Institute of the Serbian Academy of Science and Arts
© 2012 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition