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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 1, Pages 25–40
DOI: https://doi.org/10.4213/tmf9278 (Mi tmf9278) 		 
Analysis of solutions of a nonlinear scalar field differential equation

È. M. Muhamadiev, A. N. Naimov

Vologda State University, Vologda, Russia
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DOI: https://doi.org/10.4213/tmf9278
Abstract: We consider a nonlinear differential equation arising in mathematical models of elementary particle theory. For this equation, we examine questions of the extendability of solutions, the boundedness of solutions at infinity, and the search for new conditions for the existence of a positive particle-like solution.
Keywords: nonlinear scalar field differential equation, solution extendibility, solution bounded at infinity, particle-like solution.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04713_a
16-01-00150_а
This research was supported in part by the Russian Foundation for Basic Research (Grant Nos. 15-01-04713_a and 16-01-00150_a).
Received: 25.09.2016
Revised: 09.10.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 1, Pages 1429–1443
DOI: https://doi.org/10.1134/S0040577917100038
Bibliographic databases:
Language: Russian
Citation: È. M. Muhamadiev, A. N. Naimov, “Analysis of solutions of a nonlinear scalar field differential equation”, TMF, 193:1 (2017), 25–40; Theoret. and Math. Phys., 193:1 (2017), 1429–1443
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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