An operator approach to the investigation of potentiality of some differential-difference equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 1294.47094
author: Svetlana A. Budochkina
author: Vladimir M. Savchin
publication date: 2013-11-11T00:00:00Z
Mathematics Subject Classification ID: 47J35
Mathematics Subject Classification ID: 34K30
zbMATH DE Number: 6225581
zbMATH Keywords: evolutionary differential-difference equations
zbMATH Keywords: existence
MaRDI profile type: Publication
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title: An operator approach to the investigation of potentiality of some differential-difference equations
published in: Contemporary Analysis and Applied Mathematics
review text: The authors consider a class of evolutionary differential-difference operator equations of the form NEWLINE\[NEWLINEN(u)\equiv P_{2u,t}u_{tt}+P_{1u,t}u_t+Q(t,u)=0_V,NEWLINE\]NEWLINE NEWLINE\[NEWLINE u\in D(N)\subseteq U\subseteq V,\;t\in[t_0,t_1].NEWLINE\]NEWLINE Existence results of variational formulations for the equations are obtained using an operator approach. Then a partial differential-difference equation is given to illustrate the results.
reviewed by: Shaochun Ji
description: scientific article; zbMATH DE number 6225581