- Tytuł:
- On some equations y(x) = f(x,y(h(x)+g(y(x))))
- Autorzy:
- Grande, Zbigniew
- Powiązania:
- https://bibliotekanauki.pl/articles/729365.pdf
- Data publikacji:
- 2011
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
iterative differential equation
existence and uniqueness theorem
Picard approximation
derivative
(S)-continuity
(S)-path continuity - Opis:
- In [4] W. Li and S.S. Cheng prove a Picard type existence and uniqueness theorem for iterative differential equations of the form y'(x) = f(x,y(h(x)+g(y(x)))). In this article I show some analogue of this result for a larger class of functions f (also discontinuous), in which a unique differentiable solution of considered Cauchy's problem is obtained.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2011, 31, 2; 173-182
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł