Cauchy Problem for Evolution Equations with Pseudo-Bessel Operators: I

被引：0

作者：

Gorodetskii, V. V. ^{[1
]}

Spizhavka, D. I. ^{[1
]}

机构：

[1] Chernovtsy Natl Univ, Chernovtsy, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 09期

关键词：

Cauchy Problem; Evolution Equation; Normed Space; Fundamental Solution; Generalize Shift;

D O I：

10.1134/S001226611009003X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyze the structure and properties of the fundamental solution of the Cauchy problem for the evolution equation with a pseudo-Bessel operator constructed on the basis of the symbol a(t, x; sigma) fixed at the point t = tau, x = xi.

引用

页码：1253 / 1266

页数：14

共 50 条

[1] Cauchy problem for evolution equations with pseudo-Bessel operators: I
V. V. Gorodetskii
D. I. Spizhavka
Differential Equations, 2010, 46 : 1253 - 1266
[2] Cauchy Problem for Evolution Equations with Pseudo-Bessel Operators: II
Gorodetskii, V. V.
Spizhavka, D. I.
DIFFERENTIAL EQUATIONS, 2011, 47 (01) : 69 - 77
[3] Cauchy problem for evolution equations with pseudo-Bessel operators: II
V. V. Gorodetskii
D. I. Spizhavka
Differential Equations, 2011, 47 : 69 - 77
[4] Cauchy problem for singular evolution equations with pseudo-Bessel operators of infinite order
V. V. Gorodetskii
O. V. Martynyuk
Differential Equations, 2014, 50 : 777 - 791
[5] 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
[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 →