On Solving the Cauchy Problem with Propagators

Henrik Stenlund

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arXiv · 1411.1402

On Solving the Cauchy Problem with Propagators

Henrik Stenlund

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Abstract

The abstract first order Cauchy problem is solved in terms of Taylor's series leading to a series of operators which is a propagator. It is found that higher order Cauchy problems can be solved in the same way. Since derivatives of order lower than the Cauchy problem are built-in to the problem, it suffices to solve the higher order derivatives in terms of the lower order ones, in a simple way.

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Henrik Stenlund. 2014-11-05. On Solving the Cauchy Problem with Propagators. https://arxiv.org/abs/1411.1402

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