Formulas for Surface Weighted Numbers on Graph
Journal: International Journal of Trend in Scientific Research and Development (Vol.6, No. 3)Publication Date: 2022-04-02
Authors : Ghulam Hazrat Aimal Rasa;
Page : 784-790
Keywords : boundaryproblem; Formulas for Surface; weight numbers;
Abstract
The boundary value problem differential operator on the graph of a specific structure is discussed in this article. The graph has degree 1 vertices and edges that are linked at one common vertex. The differential operator expression with real valued potentials, the Dirichlet boundary conditions, and the conventional matching requirements define the boundary value issue. There are a finite number of eig nv lu s in this problem.The residues of the diagonal elements of the Weyl matrix in the eigenvalues are referred to as weight numbers. The ig nv lu s are monomorphic functions with simple poles.The weight numbers under consideration generalize the weight numbers of differential operators on a finite interval, which are equal to the reciprocals of the squared norms of eigenfunctions. These numbers, along with the eig nv lu s, serve as spectral data for unique operator reconstruction. The contour integration is used to obtain formulas for surfacethe weight numbers, as well as formulas for the sums in the case of superficial near ig nv lu s. On the graphs, the formulas can be utilized to analyze inverse spectral problems. Ghulam Hazrat Aimal Rasa "Formulas for Surface Weighted Numbers on Graph" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-3 , April 2022, URL: https://www.ijtsrd.com/papers/ijtsrd49573.pdf Paper URL: https://www.ijtsrd.com/mathemetics/calculus/49573/formulas-for-surface-weighted-numbers-on-graph/ghulam-hazrat-aimal-rasa
Other Latest Articles
- The role of analysis in ensuring the financial security of enterprises
- Comparative legal characteristics of certain aspects of civil and arbitration proceedings in the Donetsk People’s Republic
- Historical and doctrinal interaction of liberal and social elements in the development of the procedural form
- Formation of legal awareness and legal culture of the citizens in the new conditions of the construction of the rule of law
- Concept interpretations of freedom of conscience and freedom of religion: legislation and secular approaches
Last modified: 2022-07-20 17:36:50