PageHeader : Funkcialaj Ekvacioj, 12 (1969), 41-88
Title : Analytic Expressions for Bounded Solutions of
Title : Nonlinear Ordinary Diff.erential Equations
Title : with Briot-Bouquet Type Singularity
AuthorInfo : Dedicated to Professor Giovanni Sansone on his eightieth birthday
AuthorInfo : By Masahiro IWANO
AuthorInfo : (Tokyo Metropolitan University)
section : Introduction
subsection : ��1. Briot-Bouquet Type Singular Points.
subsection : ��2. Review of Known Results for the One-Dimensional Case.
subsection : ��3. Review of Known Results for the Higher Dimensional Case.
subsection : ��4. Review of the Result for the Case when $h_{W}(0,$ 0) is the Zero Matrix.
subsection : ��5. Assumptions and Definitions.
subsection : ��6. Statement of the Main Theorem.
section : CHAPTER I. Asymptotic Solutions of Partial Differential Equations
subsection : ��7. Problem of Nonlinear Partial Differential Equations.
subsection : ��8. Lemma 1.
subsection : ��9. Proof of Theorem 1.
section : CHAPTER II. Formal Construction of Transformation(T)
subsection : ��10. Formal Transformation $(\tilde{\mathrm{T}})$ .
subsection : ��11. Determination of the Coefficients Appearing in the Formal
subsection : ��12. Determination of the Coefficients Appearing in $(\tilde{\mathrm{T}})$ and $(\tilde{\mathrm{R}})$ (Part II).
section : CHAPTER III. Estimation of the Growth of a General Solution of the Modified Equations of (R)
subsection : ��13. Modified Equations of Equations (R).
subsection : ��14. Fundamental Inequalities.
subsection : ��15. Proof of Theorem 3 (Part I).
subsection : ��16. Proof of Theorem 3 (Part II).
section : CHAPTER IV. Proof of Main Theorem
subsection : ��17. Preliminary Transformation.
subsection : ��18. Proof of Main Theorem.
subsection : ��19. Lemma 2.
subsection : ��20. Solution of Main Problem.
subsection : ��21. Complete Proof of Theorem 4.
subsubsection : 1o. Proof of Proposition 4. 1.
subsubsection : 2o. Proof of Proposition 4.2.
subsubsection : 3o. Proof of Proposition 4.3.
subsubsection : 4o. Proof of Proposition 4.4.
section : References