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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

On analytic structure of solutions to higher order abstract Cauchy problems

Author(s): Yulia Mishura; Yuri Tomilov
Journal: Proc. Amer. Math. Soc. 126 (1998), 1363-1370.
MSC (1991): Primary 34G10, 47D09, 47A50
MathSciNet review: 1443162
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Abstract | References | Similar articles | Additional information

Abstract: We prove the existence of entire solutions to some abstract higher order Cauchy problem for a dense subset of initial values.


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H. O. Fattorini, The abstract Goursat problem, Pacific. J. Math. 37, (1971), 51-83. MR 46:9793
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W. Roth, Goursat problem for $u_{rs}= Lu$, Indiana Univ. Math. J. 22, (1973), 779-788. MR 46:9568


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Additional Information:

Yulia Mishura
Affiliation: Department of Mathematics, Kiev University, 64 Vladimirskaya str., Kiev 252601, Ukraine
Email: mishura@math.carrier.kiev.ua

Yuri Tomilov
Affiliation: Department of Mathematics, Kiev University, 64 Vladimirskaya str., Kiev 252601, Ukraine
Email: tomilov@math.carrier.kiev.ua

DOI: 10.1090/S0002-9939-98-04068-4
PII: S 0002-9939(98)04068-4
Keywords: Abstract Cauchy problem, entire solution
Received by editor(s): November 13, 1995
Received by editor(s) in revised form: October 14, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1998, American Mathematical Society




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