Regularized solutions to Cauchy problems well posed in the extended sense / Melnikova IV // INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. - 2006. - V. 17, l. 2-3. - P. 185-191.

ISSN/EISSN:

1065-2469 / нет данных

Type:

Article; Proceedings Paper

Abstract:

Cauchy problems that are not uniformly well posed, abstract ones, and those for differential systems are under consideration. Distribution, semigroup, and Laplace and Fourier transform techniques are used for constructing regularized ( in a broad sense) solutions to the problems. The relationship between existence of generalized solutions and existence of convoluted semigroups is established.

Author keywords:

distribution; ultradistribution; generalized Laplace; Fourier transform

DOI:

10.1080/10652460500438003

Web of Science ID:

ISI:000237603600017

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	FEB-MAR
Note	2004 Conference on Generalized Functions, Univ of Novi Sad, Dept of Math \& Infor, Novi Sad, SERBIA MONTENEG, SEP 22-28, 2004
Organization	Univ of Novi Sad, Fac of Sci, Dept of Math \& Infor; Inter Math Un, Serb Acad of Sci
Publisher	TAYLOR \& FRANCIS LTD
Address	4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
Language	English
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	irina.melnikova@usu.ru
Number-of-Cited-References	12
Journal-ISO	Integral Transform. Spec. Funct.
Doc-Delivery-Number	043LW