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On a class of systems of total differential equations with a singular line

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Abstract

We consider a class of nonlinear total differential equations with a single singular line. For the case in which the consistency condition is satisfied identically, we find the solution manifold of such systems and analyze the behavior of solutions on the degeneration line.

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References

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe, Tajikistan

    L. G. Mikhailov & B. Sharipov

  2. Institute of Business and Service, Dushanbe, Tajikistan

    L. G. Mikhailov & B. Sharipov

Authors
  1. L. G. Mikhailov
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  2. B. Sharipov
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Corresponding author

Correspondence to B. Sharipov.

Additional information

Original Russian Text © L.G. Mikhailov, B. Sharipov, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 5, pp. 696–700.

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Mikhailov, L.G., Sharipov, B. On a class of systems of total differential equations with a singular line. Diff Equat 52, 676–680 (2016). https://doi.org/10.1134/S001226611605013X

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  • DOI: https://doi.org/10.1134/S001226611605013X

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