On the properties of solutions to a class of nonlinear systems of differential equations of large dimension |
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| Authors: | I I Matveeva I A Mel’nik |
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| Institution: | 1.Sobolev Institute of Mathematics and Novosibirsk State University,Novosibirsk,Russia |
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| Abstract: | We consider the Cauchy problem for a class of nonlinear systems of differential equations of large dimension, establish some
properties of solutions, and prove that for a sufficiently large number of differential equations the last component of the
solution is an approximate solution to the initial value problem for a delay differential equation. |
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