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Solvability of nonlinear equations in a cone of a banach space

โœ Scribed by M. N. Yakovlev


Book ID
110612081
Publisher
Springer US
Year
2000
Tongue
English
Weight
185 KB
Volume
101
Category
Article
ISSN
1573-8795

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Accretive equations in cones of Banach s
โœ Shih-Sen Chang; Jong Yeoul Park; Yu Qing Chen ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 443 KB

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(