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Published in:
1993 | OriginalPaper | Chapter
Linear autonomous equations
Authors : Jack K. Hale, Sjoerd M. Verduyn Lunel
Published in: Introduction to Functional Differential Equations
Publisher: Springer New York
Included in: Professional Book Archive
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A linear autonomous RFDE has the form 1<m:math display='block'> <m:mrow> <m:mover accent='true'> <m:mi>x</m:mi> <m:mo>˙</m:mo> </m:mover> <m:mrow><m:mo>(</m:mo> <m:mi>t</m:mi> <m:mo>)</m:mo></m:mrow><m:mo>=</m:mo><m:mi>L</m:mi><m:msub> <m:mi>x</m:mi> <m:mi>t</m:mi> </m:msub> </m:mrow> </m:math>]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$\dot x\left( t \right) = L{x_t}$$ where L is a continuous linear mapping from C into ℝn.