Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order

被引：0

作者：

Adil, N.

Berdyshev, A. S. ^{[1
]}

机构：

[1] Abai Kazakh Natl Pedag Univ, Alma Ata, Kazakhstan

来源：

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS | 2023年 / 110卷 / 02期

关键词：

diffusion-wave equations; fractional order equations; boundary value problems; strong solution; Volterra property; eigenvalue; BOUNDARY-VALUE PROBLEM; MIXED-TYPE EQUATION; ROOT FUNCTIONS; SYSTEM; SOLVABILITY;

D O I：

10.31489/2023M2/4-20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are proved. Unambiguous solvability is established and theorems on the existence of eigenvalues or the Volterra property of the problems under consideration are proved.

引用

页码：4 / 20

页数：17

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