For citation:
Bazhenov M. V., Sabaev E. F. The global boundedness of solutions to some equations of mathematical physics. Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 1, pp. 52-58.
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Language:
Russian
Article type:
Article
UDC:
517.9
The global boundedness of solutions to some equations of mathematical physics
Autors:
Bazhenov Maksim Vladimirovich, Institute of Applied Physics of the Russian Academy of Sciences
Sabaev Evgenij Fedorovich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract:
The problems of global boundedness of solutions to a particular class of the equations of mathematical physics describing reactor dynamics are investigated. The boundedness is proved proceeding from the theory of positive and monotonic operators of translation along trajectories of differential equations. The upper estimates for the solutions are obtained.
Key words:
Reference:
- Krasnoselskii MA. Shift Operator along the Trajectories of Differential Equations. М.: Nauka; 1966. 331 p.
- Krein SG. Linear differential equations in Banach space. М.: Nauka; 1971. 104 p.
- Sabaev ЕF. Comparison systems for nonlinear differential equations and their application in reactor dynamics. М.: Atomizdat; 1980. 192 p.
- Hartman P. Ordinary Differential Equations. N.Y.: Wiley; 1964. 612 p.
- Bazhenov MV, Sabaev ЕF. Application of differential inequalities to the proof of the global limitation of solutions of one special class of equations of mathematical physics. Preprint № 338 Institute of Applied Physics RAS. Nizhny Novgorod; 1993.
Received:
17.12.1993
Accepted:
22.03.1994
Published:
27.06.1994
Journal issue:
- 1528 reads