PageHeader : Funkcialaj Ekvacioj, 5 (1963), 71?134
Title : Asymptotic Solutions of a System of Linear
Title : Ordinary Differential Equations Containing
Title : a Small Parameter, I,
AuthorInfo : By Masahiro IWANO
AuthorInfo : (Tokyo Metropolitan University)
subsection : ��0. Introduction.
section : Chapter I. Preliminaries
subsection : ��1. Assumptions.
subsection : ��2. Characteristic polygon.
subsection : ��3. Properties of the characteristic polygon.
subsection : ��4. Function holomorphic and bounded in (x, $\&)$ in a domain
subsection : ��5. Division of the domain $|x|<a_{0}$ .
subsection : ��6. Reduction of the order in the domains $(\mathrm{D}_{1})$ .
subsection : ��7. Lemma.
subsection : ��8. Application of the lemma.
subsection : ��9. Transformat-ion of the reduced systems into normal type.
section : ��10. Transformation of the system (1. 1) in the domains $(\mathrm{D}_{2})$ .
section : Chapter II. Fundamental lemmas
subsection : ��11. Type I.
subsection : ��12. Type II.
subsection : ��13. Type III.
subsection : ��14. Type IV.
subsection : ��15. Type V.
subsection : ��16. Type VI.
section : Chapter III. Process of reduction
subsection : ��17. Assumptions.
subsection : ��18. Characteristic polygon.
subsection : ��20. Study of the behavior of solutions of (17. 1) in the domains $(\mathfrak{D}_{1})$ .
subsection : ��21. Study of the behavior of solutions in the domains $(\mathfrak{D}_{2})$ .
section : Chapter IV. Application to the study of a singular point
subsection : ��22. Bessel's differential equations.
subsection : ��23. Division of the domain (D).
subsection : ��24. Domain $(\mathrm{R}_{1})$ .
subsection : ��25. Domain $(\mathrm{R}_{2})$ .
subsection : ��26. Domain $(\mathrm{R}_{\theta})$ .
subsection : ��27. Behavior of the solutions when $|t|$ is small and $|\lambda|$ is large.
section : Appendix
section : References