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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 93–98 (Mi ivm9362)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

On exact sufficient conditions of oscillation of solutions to linear differential and difference equations of the first order with aftereffect

K. M. Chudinov

Perm National Research Polytechnic University, 29 Komsomol'skii Ave., Perm, 614990 Russia
Full-text PDF (183 kB) Citations (3)
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Abstract: We obtain new unimprovable effective conditions for the oscillation of all solutions of linear first-order differential and difference equations with several delays. We show that known results of the kind are consequences of the new results. We reveal the reasons for the impossibility to obtain oscillation conditions for equations with several delays, as sharp as the conditions for the equation with one delay, in case exceptionally known approaches used.
Keywords: differential equation, difference equation, aftereffect, equation with several delays, oscillation, effective conditions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.5336.2017/8.9
Russian Foundation for Basic Research 18-01-00928
Received: 22.11.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 5, Pages 79–84
DOI: https://doi.org/10.3103/S1066369X18050110
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: K. M. Chudinov, “On exact sufficient conditions of oscillation of solutions to linear differential and difference equations of the first order with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 5, 93–98; Russian Math. (Iz. VUZ), 62:5 (2018), 79–84
Citation in format AMSBIB
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\pages 93--98
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  • https://www.mathnet.ru/eng/ivm/y2018/i5/p93
    • This publication is cited in the following 3 articles:
    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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