Viability for Nonautonomous Semilinear Differential Equations
✍ Scribed by Ovidiu Cârjă; Manuel D.P. Monteiro Marques
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 162 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
␦ g 0, ϱ , P g C t ,ϱ , R , and Q g C t ,ϱ , 0, ϱ . We obtain suffi-0 0 cient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable.
generator of a C -semigroup S t : X ª X, t G 0, D a locally weakly sequentially 0 D ª 2 X a nonempty, closed, convex, and bounded valued mapping and let us consider the semilinear differential inclusion du t g Au t q F u t , t G 0. D DT T
The existence of positive solutions of a second order differential equation of the form z"+ g(t) f (z)=0 (1.1) with suitable boundary conditions has proved to be important in theory and applications whether g is continuous in [0, 1] or g has singularities. These equations often arise in the study