𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Differential Inequalities and Carathéodory Functions

✍ Scribed by Mamoru Nunokawa; Akira Ikeda; Naoya Koike; Yoshiaki Ota; Hitoshi Saitoh


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
149 KB
Volume
212
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Filippov Implicit Function Theorem for Q
✍ M Dindoš; V Toma 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 162 KB

Several Filippov type implicit function theorems are known for Caratheodory Ž . Ž . Ž . functions f t, x , i.e., all f и, x are measurable and f t, и are continuous. We Ž . prove some generalisations of this theorem supposing only each function f t, и to be quasicontinuous with closed values.

On Generalized Carathéodory's Conditions
✍ Dariusz Bugajewski; Daria Wójtowicz 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB

In this paper we prove that generalized Carathbdory's conditions (so called (G) ronditions) imply wellknown general conditions which guarantee existence and some properties of Nolutions of the Cauchy problem, in the Carathhdory sense, .B e. g. continuous dependence on initial ronditions.

Carathéodory's Theorem and H-Convexity
✍ V. Boltyanski; H. Martini 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 165 KB

In 1976, V. Boltyanski introduced the functional md for compact, convex bodies. With the help of this functional, some theorems of combinatorial geometry were derived. For example, the first author obtained a Helly-type theorem, later some particular cases of the Szo kefalvi Nagy problem were resolv