Cauchy problem for a parabolic pseudodifferential higher-order equation with pulse action

被引：0

作者：

V. M. Luchko

机构：

[1] Fed’kovych Chernivtsi National University,

来源：

Journal of Mathematical Sciences | 2012年 / 185卷 / 6期

关键词：

Cauchy Problem; Fundamental Solution; Pseudodifferential Operator; Homogeneous Function; Fundamental System;

D O I：

10.1007/s10958-012-0959-0

中图分类号：

学科分类号：

摘要：

We consider the Cauchy problem and the problem with pulse action for a pseudodifferential higherorder equation with respect to t. We construct solutions of these problems, study their properties, and prove a theorem on correctness.

引用

页码：755 / 777

页数：22

共 50 条

[21] UNIFORM STABILIZATION AND THE PROXIMITY IN THE MEAN OF SOLUTIONS OF THE CAUCHY-PROBLEM FOR HIGHER-ORDER PARABOLIC EQUATIONS
VALIKOV, KV
[J]. DIFFERENTIAL EQUATIONS, 1992, 28 (06) : 825 - 832
[22] On the solution of the Cauchy problem for a higher-order equation with the fractional Riemann-Liouville derivative
Irgashev, B. Yu.
[J]. QUAESTIONES MATHEMATICAE, 2024, 47 (07) : 1339 - 1352
[23] CAUCHY-PROBLEM FOR SEMILINEAR HYPERBOLIC EQUATION OF HIGHER-ORDER WITH DISCONTINUOUS INITIAL DATA
CHEN, SX
[J]. ACTA MATHEMATICA SCIENTIA, 1994, 14 (02) : 121 - 129
[24] ON THE BLOW-UP OF THE CAUCHY PROBLEM OF HIGHER-ORDER NONLINEAR VISCOELASTIC WAVE EQUATION
Kafini, Mohammad
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (05): : 1221 - 1232
[25] AN ABSTRACT CAUCHY-KOVALEVSKY PROBLEM OF HIGHER-ORDER
REISSIG, M
[J]. MATHEMATISCHE NACHRICHTEN, 1991, 150 : 25 - 39
[26] On the Cauchy problem for higher-order nonlinear dispersive equations
Pilod, Didier
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (08) : 2055 - 2077
[27] On uniqueness for a higher-order Cauchy problem of mathematical physics
Sever, A
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (2-3) : 265 - 270
[28] NON-SOLVABILITY OF A HIGHER-ORDER DEGENERATE ELLIPTIC PSEUDODIFFERENTIAL EQUATION
RODINO, L
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1980, 102 (01) : 1 - 12
[29] THE INVERSE PROBLEM OF DETERMINING THE LOWEST COEFFICIENT IN A HIGHER-ORDER PARABOLIC EQUATION WITH WEAK DEGENERACY
Kamynin, V. L.
Kostin, A. B.
[J]. EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2021, 9 (03): : 53 - 67
[30] THE CAUCHY PROBLEM FOR THE SOBOLEV TYPE EQUATION OF HIGHER ORDER
Zamyshlyaeva, A. A.
Bychkov, E. V.
[J]. BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2018, 11 (01): : 5 - 14

← 1 2 3 4 5 →