Consider the space of continuous functions (C={f(x), x in[0,1]}) defined on the domain (mathcal{D}=[0,1]). Solve the IVP
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Consider the space of continuous functions \(C=\{f(x), x \in[0,1]\}\) defined on the domain \(\mathcal{D}=[0,1]\). Solve the IVP for the functional differential equation
\[ \frac{\delta F[f]}{\delta f(x)}=b(x) f(x)^{n} F[f] \]
where \(n>0\) is integer, for the functional \(F[f]: C \rightarrow R^{1}\).
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Related Book For
Navier Stokes Turbulence Theory And Analysis
ISBN: 9783030318697
1st Edition
Authors: Wolfgang Kollmann
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