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Sbornik: Mathematics, 2004, Volume 195, Issue 9, Pages 1235–1251
DOI: https://doi.org/10.1070/SM2004v195n09ABEH000842 (Mi sm842) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Volterra inequalities in function spaces

E. S. Zhukovskii

Tambov State University
English version PDF (259 kB) Citations (13)
References:
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DOI: https://doi.org/10.1070/SM2004v195n09ABEH000842
Abstract: We present results on local solubility, extendability of solutions, and the existence of upper and lower solutions of equations with monotonic generalized Volterra operators in Banach function spaces. These results are analogous to the well-known theorems on the integral and differential inequality and can be used for estimating solutions of various functional-differential equations.
Received: 08.12.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 9, Pages 3–18
DOI: https://doi.org/10.4213/sm842
Bibliographic databases:
UDC: 517.929
MSC: Primary 34K30, 45N05; Secondary 34K35, 45D05, 47H07, 47H10, 47H30, 47J25
Language: English
Original paper language: Russian
Citation: E. S. Zhukovskii, “Volterra inequalities in function spaces”, Mat. Sb., 195:9 (2004), 3–18; Sb. Math., 195:9 (2004), 1235–1251
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    English version PDF:4
    References:67
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