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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 6, Pages 52–63 (Mi ivm6945)  
This article is cited in 2 scientific papers (total in 2 papers)

Nonzero solutions to a two-point boundary-value periodic problem for differential equations with maxima

M. T. Teryokhin, V. V. Kiryushkin

Chair of Mathematical Analysis, Ryazan State University, Ryazan, Russia
Full-text PDF (226 kB) Citations (2)
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Abstract: We prove a theorem on the unique existence of a solution to a nonlinear equation with maxima and demonstrate its continuous dependence on the initial function and the parameter of the problem. We also establish conditions for the existence of a nonzero solution to a two-point boundary-value periodic problem in dependence of both linear and nonlinear terms of the equation.
Keywords: initial function, parameter, compact, equation with maxima, theorem on the unique existence of a solution, two-point boundary-value periodic problem, fundamental matrix, operator, fixed point, admissible vector of a matrix.
Received: 10.07.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 6, Pages 43–53
DOI: https://doi.org/10.3103/S1066369X1006006X
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: M. T. Teryokhin, V. V. Kiryushkin, “Nonzero solutions to a two-point boundary-value periodic problem for differential equations with maxima”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 6, 52–63; Russian Math. (Iz. VUZ), 54:6 (2010), 43–53
Citation in format AMSBIB
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\by M.~T.~Teryokhin, V.~V.~Kiryushkin
\paper Nonzero solutions to a~two-point boundary-value periodic problem for differential equations with maxima
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 6
\pages 52--63
\mathnet{http://mi.mathnet.ru/ivm6945}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779422}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 6
\pages 43--53
\crossref{https://doi.org/10.3103/S1066369X1006006X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649567192}
Linking options:
  • https://www.mathnet.ru/eng/ivm6945
  • https://www.mathnet.ru/eng/ivm/y2010/i6/p52
    • This publication is cited in the following 2 articles:
    1. Mohammed Derhab, “On a conformable fractional differential equations with maxima”, Malaya J. Mat., 12:01 (2024), 85  crossref
    2. E. I. Bravyi, “Minimal periods of solutions to higher-order functional differential equations”, Russian Math. (Iz. VUZ), 57:12 (2013), 70–74  mathnet  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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    Abstract page:372
    Full-text PDF :82
    References:74
    First page:6
     
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