Abstract
When the operation of a device or the course of a process is described by differential equations, we are passing from an actual object (process) to an idealized model. Every mathematical idealization involves, to a certain extent, the neglect of small quantities. Hence the question of how much distortion of the original phenomenon is introduced becomes important. We thus arrive at the mathematical problem of the dependence of solutions of differential equations on small parameters.
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© 1980 Plenum Press, New York
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Mishchenko, E.F., Rozov, N.K. (1980). Dependence of Solutions on Small Parameters. Applications of Relaxation Oscillations. In: Differential Equations with Small Parameters and Relaxation Oscillations. Mathematical Concepts and Methods in Science and Engineering, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-9047-7_1
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DOI: https://doi.org/10.1007/978-1-4615-9047-7_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-9049-1
Online ISBN: 978-1-4615-9047-7
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