Cauchy problem for higher-order evolutionary equations in $t$ with an infinite-order Bessel operator
1 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
Cauchy problem, higher-order evolutionary equations, Bessel operator
Abstract
The correct solvability of Cauchy problem is established for one class of evolutionary equations of higher order on $t$ with Bessel operator of infinite order and initial conditions, which are generalized functions of infinite order of ultradistribution.
References
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[2] Gelfand I.M., Shilov G.E. Some questions of the theory of differential equations. - M.: Fizmatgiz, 1958. - 274 p.
[3] Городецький В.В., Мартинюк О.В., Шевчук Н.М. Оператори Бесселя нескінченного порядку // Крайові задачі для диференціальних рівнянь: 3б. наук. пр. - Чернівці: Прут, 2001. - Вип. 7. - С.61-70.
Cite
- ACS Style
- Martynyuk, O. Cauchy problem for higher-order evolutionary equations in $t$ with an infinite-order Bessel operator. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Martynyuk O. Cauchy problem for higher-order evolutionary equations in $t$ with an infinite-order Bessel operator. Bukovinian Mathematical Journal. 2018; 1(160).
- Chicago/Turabian Style
- Olga Martynyuk. 2018. "Cauchy problem for higher-order evolutionary equations in $t$ with an infinite-order Bessel operator". Bukovinian Mathematical Journal. 1 no. 160.
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