THE ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF THE SYSTEM OF THE DIFFERENTIAL EQUATIONS PARTIALLY SOLVED RELATIVELY TO THE DERIVATIVES WITH NON-SQUARE MATRICES

The systems of ordinary differential equations, which are partially resolved relatively to the derivatives, were considered in case of a removable singularity and in case of a pole. The theorems on the existence of at least one analytic solution in the complex domain of the Cauchy problem with an ad...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 10; no. 3; p. 710
Main Author Limanska, D
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2020
Elman Hasanoglu
Subjects
Asymptotic properties
Cauchy problems
Derivatives
Differential equations
Domains
Exact solutions
Existence theorems
Mathematical analysis
Ordinary differential equations
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Summary:The systems of ordinary differential equations, which are partially resolved relatively to the derivatives, were considered in case of a removable singularity and in case of a pole. The theorems on the existence of at least one analytic solution in the complex domain of the Cauchy problem with an additional condition are established for both cases. Moreover, the asymptotic behavior of these solutions in this domain is studied.
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ISSN:2146-1147
2146-1147