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Computational Mathematics and Mathematical Physics

, Volume 58, Issue 12, pp 2018–2030 | Cite as

Preservation of the Solvability of a Semilinear Global Electric Circuit Equation

  • A. V. ChernovEmail author
Article
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Abstract

For an initial–boundary value problem associated with a controlled semilinear differential equation of a global electric circuit, a uniqueness theorem and the preservation of global solvability under variations in the controls involved in the higher coefficient and the right-hand side are proved.

Keywords:

semilinear differential equation of global electric circuit solution uniqueness stable existence of global solutions control of higher coefficient and right-hand side 

Notes

ACKNOWLEDGMENTS

I am sincerely grateful to A.V. Kalinin, who acquainted me with the global electric circuit problem and related mathematical issues, and to V.I. Sumin for helpful discussions of the present material.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Nizhny Novgorod State UniversityNizhny NovgorodRussia
  2. 2.Nizhny Novgorod State Technical UniversityNizhny NovgorodRussia

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