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Buch, Englisch, 364 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g
Buch, Englisch, 364 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g
Reihe: Mathematics and Its Applications
ISBN: 978-90-481-5500-2
Verlag: Springer
In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem with the singularity included in a bounded function j, which depends on time and a small parameter. This problem is a generalization of the regu larly perturbed Cauchy problem studied by Poincare [35]. Some differential equations which are solved by the averaging method can be reduced to a quasiregular Cauchy problem. As an example, in Chapter 2 we consider the van der Pol problem. In Part 2 we study the Tikhonov problem. This is, a Cauchy problem for a system of ordinary differential equations where the coefficients by the derivatives are integer degrees of a small parameter.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1. Solution Expansions of the Quasiregular Cauchy Problem.- 2. The van der Pol Problem.- 3. The Boundary Functions Method.- 4. Proof of Theorems 28.1–28.4.- 5. The Method of Two Parameters.- 6. The Motion of a Gyroscope Mounted in Gimbals.- 7. Supplement.- 8. The Boundary Functions Method.- 9. The Method of Two Parameters.
