Accretive equations in cones of Banach space
โ Scribed by Shih-Sen Chang; Jong Yeoul Park; Yu Qing Chen
- Book ID
- 104351766
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 443 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
The purpose of this paper is to study the existence of solutions for the equation x'(t) =.-Ax(t), x(O) = x E D(A), where P is a cone of a Banach space and A : P --* P is an accretive mapping satisfying (I + AA)(P) = P, and to give some sufficient conditions which ensure A(D(A)) = P and (I T AA) (D(A)
๐ SIMILAR VOLUMES
Let P be a cone in a Banach space E. In this paper, we show the existence of solutions of the operator equation y g yAx q Tx for y g P, where T is a 1-set-contraction operator in P and A is an accretive operator in P satisfying ลฝ . ลฝ . R I q A s P for all ) 0. Further, a sufficient condition for R I