On Multi-valued Analytic Solutions of First Order Non-linear Cauchy Problems | Zendy

Makoto Kametani | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

On Multi-valued Analytic Solutions of First Order Non-linear Cauchy Problems

Author(s) -

Makoto Kametani

Publication year - 1991

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195170232

Subject(s) - mathematics , irreducibility , lemma (botany) , analytic proof , dimension (graph theory) , cauchy distribution , pure mathematics , statement (logic) , order (exchange) , analytic function , calculus (dental) , discrete mathematics , combinatorics , mathematical analysis , mathematical proof , geometry , medicine , dentistry , finance , economics , ecology , poaceae , political science , law , biology

§ 0. A typical example Chapter I. Preliminaries § 1. Classical theory of characteristic curves § 2. Definition of good extensions § 3. Germs of analytic coverings Chapter II. Results §4. Statement of the main result Chapter III. Proof §5. Reduction of the main theorem to Theorem 5.1 §6. Decomposition of maps TTJ §7. Newton polygons of A(t, 0, £0 and B j ( t , 0, £0 §8. Proof of VjZ=Rj (Q) as germs of hypersurfaces §9. Irreducibility of Rj(x, £0 §10. One-sheetedness of map germs 7r j 2 Chapter IV. Appendices § 11. Generalities of Newton polygons §12. Proof of Lemma 7.5 § 13. Summary of local dimension theory §14. Proof of Lemma 9.5 References

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research