We show that methods of operational nature offer a powerful tool to solve families of integro-differential equations, including those of explicitly time dependent nature. It is proved that the method we propose allows a fairly direct extension of operator ordering methods developed within the framework of ordinary evolution equations. (c) 2006 Elsevier Inc. All rights reserved.
Solutions of integro-differential equations and operational methods / G., Dattoli; Migliorati, Mauro; Subuhi, Khan. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - 186:1(2007), pp. 302-308. [10.1016/j.amc.2006.07.104]
Solutions of integro-differential equations and operational methods
MIGLIORATI, Mauro;
2007
Abstract
We show that methods of operational nature offer a powerful tool to solve families of integro-differential equations, including those of explicitly time dependent nature. It is proved that the method we propose allows a fairly direct extension of operator ordering methods developed within the framework of ordinary evolution equations. (c) 2006 Elsevier Inc. All rights reserved.File allegati a questo prodotto
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