scholarly journals Spectral analysis of eigenparameter dependent boundary value transmission problems

2014 ◽  
Vol 413 (1) ◽  
pp. 482-494 ◽  
Author(s):  
Ekin Uğurlu ◽  
Elgiz Bairamov
Keyword(s):  
Spectral Analysis ◽  
Boundary Value ◽  
Value Transmission ◽  
Transmission Problems

scholarly journals OSCILLATION PROPERTIES FOR NON-CLASSICAL STURM-LIOUVILLE PROBLEMS WITH ADDITIONAL TRANSMISSION CONDITIONS

2021 ◽  
Vol 26 (3) ◽  
pp. 432-443
Author(s):  
Oktay Sh. Mukhtarov ◽  
Kadriye Aydemir
Keyword(s):  
Boundary Value ◽  
Main Difficulty ◽  
Distribution Of Zeros ◽  
Value Transmission ◽  
Transmission Problems ◽  
New Type ◽  
Sturm Liouville ◽  
Left And Right ◽  
New Criteria ◽  
Oscillation Properties

This work is aimed at studying some comparison and oscillation properties of boundary value problems (BVP’s) of a new type, which differ from classical problems in that they are defined on two disjoint intervals and include additional transfer conditions that describe the interaction between the left and right intervals. This type of problems we call boundary value-transmission problems (BVTP’s). The main difficulty arises when studying the distribution of zeros of eigenfunctions, since it is unclear how to apply the classical methods of Sturm’s theory to problems of this type. We established new criteria for comparison and oscillation properties and new approaches used to obtain these criteria. The obtained results extend and generalizes the Sturm’s classical theorems on comparison and oscillation.

Study of boundary value and transmission problems in the Hölder spaces

2008 ◽  
Vol 202 (2) ◽  
pp. 608-619 ◽  
Author(s):  
Omar Belhamiti ◽  
Rabah Labbas ◽  
Keddour Lemrabet ◽  
Ahmed Medeghri
Keyword(s):  
Boundary Value ◽  
Hölder Spaces ◽  
Transmission Problems ◽  
Holder Spaces

scholarly journals On Singular Dissipative Fourth-Order Differential Operator in Lim-4 Case

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Ekin Uğurlu ◽  
Elgiz Bairamov
Keyword(s):  
Spectral Analysis ◽  
Differential Operator ◽  
Boundary Value Problem ◽  
Fourth Order ◽  
Boundary Value ◽  
Inverse Operator ◽  
Order Differential Operator ◽  
Associated Functions ◽  
Fourth Order Differential Operator

A singular dissipative fourth-order differential operator in lim-4 case is considered. To investigate the spectral analysis of this operator, it is passed to the inverse operator with the help of Everitt's method. Finally, using Lidskiĭ's theorem, it is proved that the system of all eigen- and associated functions of this operator (also the boundary value problem) is complete.

scholarly journals Spectral analysis of Hahn-Dirac system

2021 ◽  
Author(s):  
Bilender Allahverdiev ◽  
Hüseyin Tuna
Keyword(s):  
Spectral Analysis ◽  
Boundary Value Problem ◽  
Spectral Properties ◽  
Orthonormal Basis ◽  
Boundary Value ◽  
Dirac System ◽  
One Dimensional ◽  
Countable Sequence ◽  
Greens Function ◽  
The One

In this paper, we study some spectral properties of the one-dimensional Hahn-Dirac boundary-value problem, such as formally self-adjointness, the case that the eigenvalues are real, orthogonality of eigenfunctions, Greens function, the existence of a countable sequence of eigenvalues, eigenfunctions forming an orthonormal basis of L2w,q ((w0. a): E).

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