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Matematicheskie Zametki, 2006, Volume 80, Issue 1, Pages 87–94
DOI: https://doi.org/10.4213/mzm2783 (Mi mzm2783) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Existence of a Variational Principle for an Operator Equation with Second Derivative with Respect to “Time”

V. M. Savchin, S. A. Budochkina

Peoples Friendship University of Russia
Full-text PDF (405 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm2783
Abstract: Using methods of nonlinear functional analysis, we define the structure of an evolution operator equation of second order that can be formulated in direct variational terms.
Keywords: operator equation with time second derivative, variational principle, Gâteaux derivative, operator potential, Volterra equation.
Received: 30.04.2003
Revised: 15.07.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 1, Pages 83–90
DOI: https://doi.org/10.1007/s11006-006-0111-x
Bibliographic databases:
UDC: 517.93, 517.972.5
Language: Russian
Citation: V. M. Savchin, S. A. Budochkina, “On the Existence of a Variational Principle for an Operator Equation with Second Derivative with Respect to “Time””, Mat. Zametki, 80:1 (2006), 87–94; Math. Notes, 80:1 (2006), 83–90
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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