Article information

2005 , Volume 10, ¹ 2, p.45-59

Gaidomak S.V., Chistyakov V.F.

On the non Cauchy - Kowalewska type systems of index (1,k)

In the paper an approache of researching systems of non Cauchy-Kowalewska is offered. Systems of the first order with respect to partial derivatives having a singular matrix and evolutionary member with variable factors are considered. Classification of such systems, based on representation of the bunch of matrixes which specify the system, is given. The notation of systems having index (1,k) has been introduced. The method of straight lines for the numerical solution of some classes of systems has been proved.

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Author(s):
Gaidomak Svetlana Valer'evna
Position: Student
Address: Russia, Irkutsk
Phone Office: (3952) 511385
E-mail: gaidomak@icc.ru

Chistyakov Viktor Filimonovich
Dr.
Position: Head of Laboratory
Office: Institute of System Dynamics and Control Theory of Siberian branch of Russian Academy of Sciences
Address: Russia, Irkutsk
Phone Office: (3952) 511385
E-mail: chist@icc.ru


Bibliography link:
Gaidomak S.V., Chistyakov V.F. On the non Cauchy - Kowalewska type systems of index (1,k) // Computational technologies. 2005. V. 10. ¹ 2. P. 45-59
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