An operator approach to the investigation of potentiality of some differential-difference equations (Q2860977)
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scientific article; zbMATH DE number 6225581
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An operator approach to the investigation of potentiality of some differential-difference equations |
scientific article; zbMATH DE number 6225581 |
Statements
11 November 2013
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evolutionary differential-difference equations
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existence
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0.8919188
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0.89086103
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0.88917327
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An operator approach to the investigation of potentiality of some differential-difference equations (English)
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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.
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