Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-22T02:29:52.142Z Has data issue: false hasContentIssue false

Uniqueness of Generalized Solutions of Abstract Differential Equations

Published online by Cambridge University Press:  20 November 2018

M. A. Malik*
Affiliation:
Concordia University, Sir George Williams Campus, Montreal, Québec, Canada
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let Ω be an open subset of R and H be a complex Hilbert space; (,) represents scalar product in H.Let also A be a closed linear operator with domain DA dense in H and A* with domain D*A be its adjoint. Under graph scalar product DA and D*A are also Hilbert spaces.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Agmon, S. and Nirenberg, L., Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math. 16 (1963), pp. 121-239.Google Scholar
2. Malik, M. A., Weak Generalized Solutions of Abstract Differential Equations, J. Math. Analy. Appl., To appear.Google Scholar
3. Yosida, K., Functional Analysis, Springer-Verlag, New York, 1968.Google Scholar
4. Zaidman, S., Un Teorema di esistenza globale per alcune equazioni differenziali astratte, Richerche di Matematica, 13 (1964), pp. 57-69.Google Scholar