Cauchy problem for singular evolution equations with pseudo-Bessel operators of infinite order

被引：0

作者：

V. V. Gorodetskii

O. V. Martynyuk

机构：

[1] Chernovtsy National University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Cauchy Problem; Evolution Equation; Fundamental Solution; Limit Relation; Infinite Order;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove the well-posed solvability of the Cauchy problem for evolution equations with pseudo-Bessel operators of infinite order and with initial data in the space of distributions.

引用

页码：777 / 791

页数：14

共 50 条

[1] Cauchy problem for singular evolution equations with pseudo-Bessel operators of infinite order
Gorodetskii, V. V.
Martynyuk, O. V.
DIFFERENTIAL EQUATIONS, 2014, 50 (06) : 777 - 791
[2] Cauchy problem for evolution equations with pseudo-Bessel operators: I
V. V. Gorodetskii
D. I. Spizhavka
Differential Equations, 2010, 46 : 1253 - 1266
[3] Cauchy Problem for Evolution Equations with Pseudo-Bessel Operators: I
Gorodetskii, V. V.
Spizhavka, D. I.
DIFFERENTIAL EQUATIONS, 2010, 46 (09) : 1253 - 1266
[4] Cauchy Problem for Evolution Equations with Pseudo-Bessel Operators: II
Gorodetskii, V. V.
Spizhavka, D. I.
DIFFERENTIAL EQUATIONS, 2011, 47 (01) : 69 - 77
[5] Cauchy problem for evolution equations with pseudo-Bessel operators: II
V. V. Gorodetskii
D. I. Spizhavka
Differential Equations, 2011, 47 : 69 - 77
[6] Cauchy Problem for Evolution Equations with Infinite-Order Bessel Operators
Gorodetskii, V. V.
Tupkalo, I. S.
DIFFERENTIAL EQUATIONS, 2011, 47 (03) : 333 - 345
[7] Cauchy problem for evolution equations with infinite-order Bessel operators
V. V. Gorodetskii
I. S. Tupkalo
Differential Equations, 2011, 47
[8] Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols
Horodets'kyi, V. V.
Martynyuk, O. V.
UKRAINIAN MATHEMATICAL JOURNAL, 2014, 66 (02) : 178 - 196
[9] Nonlocal Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols
V. V. Horodets’kyi
O. V. Martynyuk
Ukrainian Mathematical Journal, 2014, 66 : 178 - 196
[10] The Cauchy Problem for Evolution Equations with the Bessel Operator of Infinite Order. II
Gorodetskii, V. V.
Martynyuk, O. V.
RUSSIAN MATHEMATICS, 2010, 54 (07) : 26 - 36

← 1 2 3 4 5 →