Solution of a multi-dimensional spectral problem for a single elliptic equation with a large complex parameter

The paper studies a problem with initial functions and boundary conditions for partial differential partial equations of fractional order in partial derivatives with a delayed time argument, with degree Laplace operators with spatial variables and nonlocal boundary conditions in Sobolev classes. The solution of the initial boundary-value problem is constructed as the series’ sum in the eigenfunction system of the multidimensional spectral problem. The eigenvalues are found for the spectral problem and the corresponding system of eigenfunctions is constructed. It is shown that the system of eigenfunctions is complete and forms a Riesz basis in the Sobolev subspace. Based on the completeness of the eigenfunctions system the uniqueness theorem for solving the problem is proved. In the Sobolev subspaces the existence of a regular solution to the stated initial-boundary problem is proved.

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Inverse Iteration Method with a Complex Parameter II

Spectral and Scattering Theory and Applications ◽

10.2969/aspm/02310307 ◽

2018 ◽

Cited By ~ 2

Author(s):

Toshio Suzuki

Keyword(s):

Iteration Method ◽

Complex Parameter ◽

Inverse Iteration ◽

Inverse Iteration Method

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Faculty Opinions recommendation of Complex parameter landscape for a complex neuron model.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.1051398.503305 ◽

2006 ◽

Author(s):

Eve Marder

Keyword(s):

Neuron Model ◽

Complex Parameter

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Using the principles and approaches of flexible methodology (agile) in the planning and implementation of the educational process

10.36381/iamsti.4.2020.48-55 ◽

2020 ◽

pp. 48-55

Author(s):

TING ZHU

Keyword(s):

Labor Market ◽

Program Development ◽

Development Process ◽

Project Manager ◽

Educational Process ◽

Large Complex ◽

Complex Projects ◽

Quality Risk ◽

The Government

The educatonal program development process is challenging with many stakeholders: students, teachers, parents, administrators, employers, and the government. Each stakeholder has compettve priorites; Quality, risk, resources and costs limitaton. Large complex projects require the management of a skilled and experienced project manager. It is the preparaton of curricula for joint internatonal educatonal programs with the use of Agile tools and technologies. The main "customer" in this program is a student, and the ultmate goal of each project within the program-the competence of the student in the labor market afer receiving the diploma. Therefore, this program can be considered difcult, and it is constantly evolves, because the demands of the labor market of China is constantly changing and developing.

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