Розглядається питання про побудову розв’язків лінійного диференціального рівняння третього порядку на основі побудови фундаментальної системи розв’язків рівняння другого порядку по заданих послідовностях.

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[3] Gel'fond A.O. Calculus of finite differences. State publishing house of physical and mathematical literature, Moscow, 1959. (in Russian)

[4] Gol'dberg A.A., Levin B.Ya., Ostrovskii I.V. Entire and meromorphic functions. Itogi nauki i tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr 1991, 85, 5-185. (in Russian)

[5] Heittokangas J. Blaschke-oscillatory equations of the form $f′′ + Af = 0$. J. Math. Anal. Appl. 2006, 318, 120-133. doi:10.1016/j.jmaa.2005.05.027

[6] Hille E. Ordinary differential equations in the complex domain, John Wiley & Sons, New York, 1976.

[7] Laine I. Nevanlinna theory and complex differential equations, Walter de Gruyter, Berlin, 1993.

[8] Matveev N.M. Methods of integrating ordinary differential equations. Vysshaya Shkola, Moscow, 1967. (in Russian)

[9] Saks S., Zygmund A. Analytic functions. Nakladem Polskiego towarzystwa matematycznego, Warszawa-Wroclaw, 1952.

[10] Shavala O.V. On nonlogarithmic solutions of differential equation of second order. Bukovinian Mathematical Journal 2017, 5 (1-2), 149-151. (in Ukrainian)

[11] Shavala O.V. On sequences of zeros and poles of fundamental systems of solutions of equation $f′′+Af = 0$. International scientific conference "Spectral Problems, nonlinear and complex analysis", Ufa, Russia, 01.10-03.10 2015, 150-151. (in Russian)

[12] Shavala O.V. On some properties of meromorphic solutins of linear differential equation of third order, All-Ukrainian Scientific Conference "Modern problems of theory of probability and mathematical analysis", Ivano-Frankivsk, Ukraine, 24.02-27.02 2016, 147-148. (in Ukrainian)

[13] Shavala O.V. On the construction of solutions of linear differential equations according to given sequences. Ukr. Mat. Zh. 2017, 69 (10), 1437-1440. (in Ukrainian)

[14] Sheda V. On some properties of solutions of the differential equation $y′′ = Q(z)y$, where $Q(z) \not\equiv 0$ is an entire function. Acta F.R.N. Univ. Comen. Mathem. 1959, 4, 223-253. (in Slovak)