References

THE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF CERTAIN TYPES OF THE DIFFERENTIAL EQUATIONS PARTIALLY SOLVED RELATIVELY TO THE DERIVATIVES WITH A SINGULARITY IN THE ZERO-POINT


[1] R. G. Grabovskaya, The asymptotic behavior of the solution of a system of two first order nonlinear differential equations, Differentsial’nye Uravneniya 11(4) (1975), 639-644.

[2] R. G. Grabovskaya and J. Diblic, Asymptotic of Systems of Differential Equations Unsolved with Respect to the Derivatives [in Russian], Dep. at VINITI. 1986.

[3] D. Limanska and G. Samkova, About behavior of solutions of some systems of differential equations, which is partially resolved relatively to the derivatives, Bulletin of Mechnikov’s Odessa National University 19(1) (2014), 16-28.

[4] D. Limanska, About behavior of solutions of some systems of differential equations, which is partially resolved relatively to the derivatives in the case of a pole, Nonlinear Oscillations 20(1) (2017), 113-126.

[5] D. E. Limanska and G. E. Samkova, On the existence of analytic solutions of certain types of system, partially resolved relatively to the derivatives, in the case of a pole, Memoirs on Differential Equations and Mathematical Physics 74 (2018), 113-124.

[6] G. E. Samkova, Existence and asymptotic behavior of the analytic solutions of some singular differential systems, unsolved with respect to the derivatives, Differentsial’nye Uravneniya 27(11) (1991), 2012-2013.

[7] G. E. Samkova and N. V. Sharay, On the investigation of one semi explicit system of differential equations in the case of a variable pencil of matrices, Nonlinear Oscillations 5(2) (2002), 224-236.

[8] A. M. Samoilenko, On the asymptotic integration of a system of linear differential equations with a small parameter in the coefficients of a part of derivatives, Ukr. Mat. Zh 54(11) (2002), 1505-1516.

[9] N. V. Sharai and H. E. Samkova, Asymptotic of solutions of some semiexplicit systems of differential equations, Nauk. Visn. Cherniv. Univ. Ser. Mat., Issue 314-315 (2006), 1810-188.

[10] I. Shkil’, I. Starun and V. Yakovets, Asymptotic Integration of Linear Systems of Ordinary Differential Equations with Degenerations [in Russian], Vyshcha Shkola Kiev, 1991.

[11] J. Diblic, One theorem on asymptotic behavior of solutions of a certain system of quasilinear differential equations not solved with respect to derivatives, Riv. Mat. Univ. Parma, 13 (1987), 413-419.

[12] M. Jwano, A method to construct stable domain of a sectorial type, Funkc. Ekvacioj 42(1) (1999), 71-103.

[13] O. Song Guk, Pak Ponk and Chol Permissible, Boundary condition of a system of linear ordinary differential equations in a closed angle domain of complex plane, Kwahakwon Thongbo Bull. Acad. Sci. DPR Korea 3 (2001), 2-4.