A Method to Study the Cauchy Problem for a Singularly Perturbed Homogeneous Linear Differential Equation of Arbitrary Order |
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Authors: | Email author" target="_blank">E?E?BukzhalevEmail author |
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Institution: | 1.Moscow State University, Faculty of Physics,Leninskie Gory, Moscow,Russia |
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Abstract: | We construct a sequence converging to the solution to the Cauchy problem for a singularly perturbed linear homogeneous differential equation of any order. This sequence is asymptotic in the following sense: the distance (with respect to the norm of the space of continuous functions) between its nth element and the solution to the problem is proportional to the (n + 1)th power of the perturbation parameter. |
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