Abstract
In the previous chapter we constructed complete asymptotic expansions of solutions to equation (11.1) assuming that the coefficients also admit certain asymptotic expansions. The asymptotic procedures used were direct and rather simple. If one is interested in asymptotic formulae which are valid under weak restrictions to the coefficients, the same techniques do not apply. A remedy used in the classical theory of ordinary differential equations is a reduction of the higher order equation to a first order system. The present chapter is devoted to a generalization of this approach to equations with unbounded operator coefficients.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kozlov, V., Maz’ya, V. (1999). Reduction to a First Order System. In: Differential Equations with Operator Coefficients. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11555-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-11555-8_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08453-9
Online ISBN: 978-3-662-11555-8
eBook Packages: Springer Book Archive