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Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Volume: 10 Special Issue

Green's Functions for Two-Interval Sturm-Liouville Problems in Direct Sum Space

Oktay Mukhtarov(GAZIOSMANPASA UNIVERSITY)
Kadriye Aydemir(AMASYA UNIVERSITY)
Hayati Olğar(GAZIOSMANPASA UNIVERSITY)
Pages
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Publication Date
2018-12-29
DOI
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⚙️Variables:Schrodinger operators · Green Functions · Transmission conditions

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Mukhtarov, O., Aydemir, K., Olğar, H. (2018). Green's Functions for Two-Interval Sturm-Liouville Problems in Direct Sum Space. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324909

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References (11)

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  3. Ao J. and Sun J. Matrix representations of SturmˆuLiouville problems with coupled eigenparameter-dependent boundary conditions, AppliedMathematics and Computation 244, 142ˆu148(2014).
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  5. Binding, P. A. and Browne, P. J., Oscillation theory for indefinite Sturm-Liouville problems with eigenparameter dependent boundary conditions,Proc. Roy. Soc. Edinburgh Sect. A 127.
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  7. Markus, A. S. and Matsayev, V. I. Comparison theorems for spectra of linear Operators and spectral asymptotics, Tr. Mosk. Mat. Obshch.,(1982), vol.45, pp. 133- 181; English transl., Trans. Moscow Math. Soc., 1(1984), 139-188.
  8. Mukhtarov, O.Sh., Olˇgar, H. and Aydemir, K., Resolvent Operator and Spectrum of New Type Boundary Value Problems, Filomat, 29:7 (2015),1671-1680.
  9. Mukhtarov, O. Sh. and Kandemir, M., Asymptotic behaviour of eigenvalues for the discontinuous boundary- value problem with Functional-Transmissin conditions, Acta Mathematica Scientia vol 22 B(3), (2002) pp.335-345.
  10. Olğar, H., Mukhtarov, O. Sh. and Aydemir, K., Some properties of eigenvalues and generalized eigenvectors of one boundary value problem,Filomat, 32:3, 911-920(2018).
  11. Panakhov, E. S. and Gulsen, T., On discontinuous Dirac systems with eigenvalue dependent boundary conditions, AIP Conference Proceeding,1648, 260003 (2015), 1-4; https://doi.org/10.1063/1.4912520.