Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (4)
- Authors
- Khachatryan, Khachatur A.; Terdjyan, Tsolak E.; Petrosyan, Haykanush S.
- Contact information
- Khachatryan, Khachatur A.:Institute of Mathematics of NAS, Marshal Baghramyan, 24/5. Yerevan, 0009 Armenia;Khach82@mail.ru; Terdjyan, Tsolak E.:Armenian National Agrarian University, Teryan, 74, Yerevan, 0009 Armenia;Terdjyan@gmail.com; Petrosyan, Haykanush S.:Armenian National Agrarian University, Teryan, 74, Yerevan, 0009 Armenia;Haykuhi25@mail.ru
- Keywords
- factorization; kernel; monotonicity; iteration; Caratheodory’s condition; Sobolev space
- Abstract
The work is devoted to the investigation of one class of non-linear integro-differential equations with the Hammerstein non-compact operator on the half-line. The mentioned class of equations has direct application in the kinetic theory of plazma. Combining the special factorization methods with the theory of construction of invariant cone intervals for non-linear operators permits to prove the existence of a solution of the initial equation in the Sobolev space W1 1 (R+)
- Pages
- 451–461
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/10072
Journal of Siberian Federal University. Mathematics & Physics / On the Solvability of one Class of Boundary-value Problems for Non-linear Integro-differential Equation in Kinetic Theory of Plazma
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