On the Solvability of one Class of Boundary-value Problems for Non-linear Integro-differential Equation in Kinetic Theory of Plazma

被引：0

作者：

Khachatryan, Khachatur A. ^{[1
]}

Terdjyan, Tsolak E. ^{[2
]}

Petrosyan, Haykanush S. ^{[2
]}

机构：

[1] NAS, Inst Math, Marshal Baghramyan 24-5, Yerevan 0009, Armenia

[2] Armenian Natl Agrarian Univ, Yerevan 0009, Armenia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2013年 / 6卷 / 04期

关键词：

factorization; kernel; monotonicity; iteration; Caratheodory's condition; Sobolev space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 W-1(1)(R+).

引用

页码：451 / 461

页数：11

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