Integral Equation;
Asymptotic Formula;
Asymptotic Representation;
Solvability Condition;
Unique Solvability;
D O I:
10.1134/S0012266111090102
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In a rectangular domain, we consider a two-dimensional integral equation of Volterra type with fixed singular kernels. For various values of the parameters occurring in this equation, we prove its unique solvability and establish the asymptotic behavior of the obtained solution.
机构:
VIT Chennai, Ctr Adv Data Sci, Chennai 600127, Tamil Nadu, India
VIT Chennai, SAS, Dept Math, Chennai 600127, Tamil Nadu, IndiaVIT Chennai, Ctr Adv Data Sci, Chennai 600127, Tamil Nadu, India
机构:
Melentiev Energy Systems Institute of the Siberian Branch of the Russian Academy of Sciences, Irkutsk,664033, RussiaMelentiev Energy Systems Institute of the Siberian Branch of the Russian Academy of Sciences, Irkutsk,664033, Russia
机构:
UNIST, Sch Mech & Adv Mat Engn, Ulsan Metropolitan City 689798, South KoreaUNIST, Sch Mech & Adv Mat Engn, Ulsan Metropolitan City 689798, South Korea