@inproceedings{9510403ea6bb42fc94599a00bfff4e71,
title = "On approximate solutions to one class of nonlinear differential equations",
abstract = "We consider a class of systems of nonlinear ordinary differential equations with parameters. In particular, systems of such type arise when modeling the multistage synthesis of a substance. We study properties of solutions to the systems and propose a method for approximate solving the systems in the case of very large coefficients. We establish approximation estimates and show that the convergence rate depends on the parameters characterizing the nonlinearity of the systems. Moreover, the larger the coefficients of the systems, the more exact the approximate solutions. Thereby this method allows us to avoid difficulties arising inevitably when solving systems of nonlinear differential equations with very large coefficients.",
keywords = "Cauchy problem, Estimates for solutions, Large coefficients, Limit theorems, Systems of ordinary differential equations",
author = "Inessa Matveeva",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-981-10-4642-1_19",
language = "English",
isbn = "9789811046414",
series = "Communications in Computer and Information Science",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "221--231",
booktitle = "Mathematics and Computing - 3rd International Conference, ICMC 2017, Proceedings",
address = "Germany",
note = "3rd International Conference on Mathematics and Computing, ICMC 2017 ; Conference date: 17-01-2017 Through 21-01-2017",
}