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The functional formulation of second-order ordinary differential equations - MaRDI portal

The functional formulation of second-order ordinary differential equations (Q1779972)

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The functional formulation of second-order ordinary differential equations
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    The functional formulation of second-order ordinary differential equations (English)
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    6 June 2005
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    The author considers second-order ordinary differential equations \[ x''(t) = f(t,x(t),x'(t)) \] for which the boundary value problem \(x(\alpha) = a,x(\beta)=b\) is solvable for each \(\alpha,a,\beta,b\) and its relation to functional equations for \(x\). Some illustrating examples (including geodesics) are given.
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    functional equations
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    geodesics
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