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An existence theorem for ordinary differential equations in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Moses A. Boudourides
Moses A. Boudourides
Affiliation:
Department of Mathematics, Democritus University of Thrace, Xanthi, Greece.
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Abstract

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The Cauchy problem x′ = f(t, x), x(0) = x0, is considered in a non-reflexive Banach space E, where f is weakly continuous. A local existence theorem is proved using the measure of weak noncompactness.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 457 - 463
Copyright
Copyright © Australian Mathematical Society 1980

References

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