On the solution of the Cauchy problem for a second-order linear differential equation with constant unbounded operator coefficients in a Banach space (Q2468726)
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| Language | Label | Description | Also known as |
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| English | On the solution of the Cauchy problem for a second-order linear differential equation with constant unbounded operator coefficients in a Banach space |
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On the solution of the Cauchy problem for a second-order linear differential equation with constant unbounded operator coefficients in a Banach space (English)
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25 January 2008
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The author considers the Cauchy problem \[ u''(t)+ Bu'(t)+ Cu(t)= f(t) , \quad 0 \leq t < \infty \] \[ u(0)=u_0, \qquad u'(0)=u_0', \] where \(f(t) \in C([0,\infty), E)\) and \(B\), \(C\) are unbounded linear operators defined on a Banach space \(E\).
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Cauchy Problem
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Unbounded Linear Operators
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Banach Space
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