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Article information
2000 , Volume 5, ¹ 4, p.22-30
Bulatov M.V.
Transformation of singular systems of Volyterra-type integral equations
A class of systems of Volterra-type integral equations is investigated with the singular matrix at the unknown. A scheme for the construction of a linear differential operator whose application to the input equation yields the system of the second kind is suggested. A similar operator for the systems of integral and differential equations with the singular matrix at the highest derivative is constructed. A new formula for calculating the index of a sheaf of matrices is obtained.
[full text] Classificator Msc2000:- *45D05 Volterra integral equations
- 45F15 Systems of singular linear integral equations
Keywords: system of integral equations, uniqueness, singular matrix, integral equation of Volterra type, system of integro-differential equations
Author(s):
Bulatov Mikhail Valerjanovich
Dr.
Position: General Scientist
Address: 664033, Russia, Irkutsk
Phone Office: (3952) 51 15 08
E-mail: mvbul@icc.ru
Bibliography link:
Bulatov M.V. Transformation of singular systems of Volyterra-type integral equations // Computational technologies. 2000. V. 5. ¹ 4. P. 22-30
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