A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line

A One–parameter Family of Bounded Solutions for a System of Nonlinear Integral Equations on the Whole Line

A system of nonlinear integral equations with a convolution type operator arising in the p –adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solut...

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Veröffentlicht in:Journal of contemporary mathematical analysis 2018-07, Vol.53 (4), p.201-211
Hauptverfasser: Khachatryan, Kh. A., Terjyan, Ts. E., Avetisyan, M. H.
Format: Artikel
Sprache:eng
Schlagworte:
Convolution
INTEGRAL EQUATIONS
Mathematical analysis
MATHEMATICAL SOLUTIONS
Mathematics
Mathematics and Statistics
Nonlinear equations
NONLINEAR PROBLEMS
Operators (mathematics)
Parameters
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
STRING THEORY
TACHYONS
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Beschreibung
Zusammenfassung:A system of nonlinear integral equations with a convolution type operator arising in the p –adic string theory for the scalar tachyons field is studied. The existence of a one–parameter family of monotone continuous and bounded solutions for this system is proved. The limits of the constructed solutions at ±∞ are calculated.
ISSN:1068-3623
1934-9416
1934-9416
DOI:10.3103/S1068362318040027