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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Convergence of difference approximations and nonlinear semigroups


Author: Shigeo Kanda
Journal: Proc. Amer. Math. Soc. 111 (1991), 941-948
MSC: Primary 34G20; Secondary 34A45, 34A60, 47H20
MathSciNet review: 1056678
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Abstract: We give a convergence theorem for the difference approximation for the evolution equation $ \left( {d/dt} \right)u\left( t \right) \in Au\left( t \right)$ and a generation theorem of nonlinear semigroups for directed dissipative operators $ A$ in a real Hilbert space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1056678-X
PII: S 0002-9939(1991)1056678-X
Keywords: Dissipative, evolution equation, semigroup, Hilbert space
Article copyright: © Copyright 1991 American Mathematical Society