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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 7, Pages 31–42 (Mi ivm7106)  
This article is cited in 1 scientific paper (total in 1 paper)

The Cauchy problem for evolution equations with the Bessel operator of infinite order. II

V. V. Gorodestkii, O. V. Martynyuk

Chair of Algebra and Information Science, Chernovtsy National University, Chernovtsy, Ukraine
Full-text PDF (232 kB) Citations (1)
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Abstract: We prove the correct solvability of the Cauchy problem for singular evolution equations of infinite order in classes of initial conditions that are generalized functions like ultra-distributions (analytic functionals).
Keywords: Cauchy problem, evolution equation, distribution, Bessel operator of infinite order.
Received: 08.05.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 7, Pages 26–36
DOI: https://doi.org/10.3103/S1066369X10070030
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. V. Gorodestkii, O. V. Martynyuk, “The Cauchy problem for evolution equations with the Bessel operator of infinite order. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 7, 31–42; Russian Math. (Iz. VUZ), 54:7 (2010), 26–36
Citation in format AMSBIB
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\paper The Cauchy problem for evolution equations with the Bessel operator of infinite order.~II
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  • https://www.mathnet.ru/eng/ivm/y2010/i7/p31
    Cycle of papers
    This publication is cited in the following 1 articles:
    1. V. V. Gorodetskii, A. A. Shirokovskikh, “Nonlocal time-multipoint problem for a class of evolution pseudodifferential equations”, Diff Equat, 53:5 (2017), 630  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:58
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