Fundamental solution of the Cauchy problem for some parabolic equations with the Bessel operator and increasing coefficients
Fratavchan Tonia Mykhailivna
1
,
Ivasyshen Stepan Dmytrovych
2
,
Lavrenchuk Volodymyr Petrovych
3
,
Melnychuk Liliia Mykhailivna
4
1 Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Mathematical Physics and Differential Equations, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, 01001, Ukraine
3 Department of Higher Mathematics and Engineering and Technical Disciplines, Chernivtsi Institute of Trade and Economics of the Kyiv National University of Trade and Economics, Chernivtsi, 58002, Ukraine
4 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
Fundamental solution of the Cauchy problem
Abstract
For a class of second-order parabolic equations with coefficients increasing in the variable __ at ___ and the Bessel operator in the variable ___, the fundamental solutions of the Cauchy problem are found in explicit form and their properties are studied.
Cite
- ACS Style
- Fratavchan, T.M.; Ivasyshen, S.D.; Lavrenchuk, V.P.; Melnychuk, L.M. Fundamental solution of the Cauchy problem for some parabolic equations with the Bessel operator and increasing coefficients. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Fratavchan TM, Ivasyshen SD, Lavrenchuk VP, Melnychuk LM. Fundamental solution of the Cauchy problem for some parabolic equations with the Bessel operator and increasing coefficients. Bukovinian Mathematical Journal. 2018; 1(288).
- Chicago/Turabian Style
- Tonia Mykhailivna Fratavchan, Stepan Dmytrovych Ivasyshen, Volodymyr Petrovych Lavrenchuk, Liliia Mykhailivna Melnychuk. 2018. "Fundamental solution of the Cauchy problem for some parabolic equations with the Bessel operator and increasing coefficients". Bukovinian Mathematical Journal. 1 no. 288.
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