Higher-order evolution equations in t with a harmonic oscillator

Martynyuk Serhiy; Martynyuk Olga

Martynyuk Serhiy ¹ , Martynyuk Olga ¹

¹ Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: Higher-order evolution equations, oscillator

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Abstract

We find an expansion of smooth solutions for a class of evolution equations with a harmonic oscillator and establish the correct solvability of the Cauchy problem for these equations in spaces of ultradistributions.

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ACS Style: Martynyuk, S.; Martynyuk, O. Higher-order evolution equations in t with a harmonic oscillator. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Martynyuk S, Martynyuk O. Higher-order evolution equations in t with a harmonic oscillator. Bukovinian Mathematical Journal. 2018; 1(374).
Chicago/Turabian Style: Serhiy Martynyuk, Olga Martynyuk. 2018. "Higher-order evolution equations in t with a harmonic oscillator". Bukovinian Mathematical Journal. 1 no. 374.

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