Перейти до основного вмісту
Multipoint problem for one class of evolutionary pseudodifferential equations of parabolic type
Kulyk T. 1 , Myronyk Vadym 2
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Algebra and Informatics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: pseudodifferential equations
Abstract

In the class of generahzed functions of the type of distributions the correct solvability of m-point for t problem for evolution equations of parabolic type with pseudo-Bessel operator of infinite order was established.

References

1. Nonlocal boundary value problems for equations with partial derivatives / [Ptashnyk B.Y., Ilkiv V.S., Kmit I.Ya., Polishchuk V.M.]. - Kyiv: Naukova Dumka, 2002. - 416 p.
2. Matiychuk M.I. Parabolic singular boundary value problems / Mykhailo Ivanovych Matiychuk. - Kyiv: Institute of Mathematics of the NAS of Ukraine, 1999. - 176 p.
3. Gorodetsky V.V. Dirichlet problem for one class of evolutionary equations / Vasyl Vasylovich Gorodetsky, Yaroslav Mikhailovich Drin // Scientific Bulletin of Chernivtsi University: Collection of Scientific Works. Issue. 336-337. Mathematics. - Chernivtsi: Ruta, 2007. - P. 61-78.
4. Gorodetsky V.V. Evolutionary equations with pseudo-Bessel operators / Vasyl Vasylovich Gorodetsky, Oleg Mikhailovich Lenyuk // Supplement of the NAS of Ukraine. - 2007. - No. 8. - P. 11-15.
5. Shevchuk N.M. Cauchy problem for evolutionary equations with pseudo-Bessel operators of infinite order / N.M. Shevchuk // Scientific Bulletin of Chernivtsi University: Collection of scientific works.
Issue 374. Mathematics. - Chernivtsi: Ruta, 2008. - P. 145-154.
6. Gorodetsky V.V. Two-point problem for one class of evolution equations. I / Vasily Vasilyevich Gorodetsky, Vadim Ilyich Mironyk // Differential equations. - 2010. - Vol. 46, No. 3. - P. 349-363.
7. Gorodetsky V.V. Two-point problem for one class of evolution equations. II / Vasily Vasilyevich Gorodetsky, Vadim Ilyich Mironyk // Differential equations. - 2010. - Vol. 46, No. 4.
- P. 520-526.
8. Gorodetsky V.V. Fourier-Bessel transform of one class of infinitely differentiable functions / Vasily Vasilyevich Gorodetsky, Oleg Mikhailovich Lenyuk // Boundary-value problems for differential equations: Collection of scientific works. - Chernivtsi: Prut, 2007. - Issue 15. - P. 51-66.
9. Lenyuk O.M. Bessel transform of one class of generalized functions of the distribution type / O.M. Lenyuk // Scientific Bulletin of Chernivtsi University: Collection of Scientific Works. Issue 336-337. Mathematics. - Chernivtsi: Ruta, 2007. - P. 95-102

Cite
ACS Style
Kulyk , T.; Myronyk, V. Multipoint problem for one class of evolutionary pseudodifferential equations of parabolic type. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Kulyk T, Myronyk V. Multipoint problem for one class of evolutionary pseudodifferential equations of parabolic type. Bukovinian Mathematical Journal. 2018; 1(4).
Chicago/Turabian Style
T. Kulyk , Vadym Myronyk. 2018. "Multipoint problem for one class of evolutionary pseudodifferential equations of parabolic type". Bukovinian Mathematical Journal. 1 no. 4.
Export
We use own, third-party cookies, and localStorage files to analyze web traffic and page activities. Privacy Policy Settings