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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 9, Pages 90–93 (Mi ivm7133)  
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

The maximal nonuniqueness classes of solutions to the Cauchy problem for linear equations

D. V. Turtin

Chair of Calculus and Applied Mathematics, Ivanovo State University, Ivanovo, Russia
Full-text PDF (142 kB) Citations (1)
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Abstract: We study linear partial differential equations with increasing coefficients in a half-plane. We establish maximal nonuniqueness classes of solutions to the Cauchy problem for these equations. The proof is based on a new estimation method for a solution to the dual differential equation with a parameter.
Keywords: classes of uniqueness and nonuniqueness, Newton's diagram, Cauchy problem.
Received: 02.12.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 9, Pages 77–79
DOI: https://doi.org/10.3103/S1066369X10090100
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: D. V. Turtin, “The maximal nonuniqueness classes of solutions to the Cauchy problem for linear equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9, 90–93; Russian Math. (Iz. VUZ), 54:9 (2010), 77–79
Citation in format AMSBIB
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\paper The maximal nonuniqueness classes of solutions to the Cauchy problem for linear equations
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\jour Russian Math. (Iz. VUZ)
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\pages 77--79
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649529814}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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