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

Comparison Theorems for One Sturm-Liouville Problem with Nonlocal Boundary Conditions

Kadriye Aydemir(AMASYA UNIVERSITY)
Hayati Olğar(GAZIOSMANPASA UNIVERSITY)
Oktay Mukhtarov(GAZIOSMANPASA UNIVERSITY)
Sayfa
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Yayın Tarihi
2018-12-29
DOI
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n this study we present a new approach for investigation of some

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🔬Tür:Conference Paper
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Boundary value problems · Comparison theorems · Transmission conditions

Abstract

n this study we present a new approach for investigation of some

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Bu Makaleye Atıf Yap

Aydemir, K., Olğar, H., Mukhtarov, O. (2018). Comparison Theorems for One Sturm-Liouville Problem with Nonlocal Boundary Conditions. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324910

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Kaynakça (13)

  1. Allahverdiev, B. P., Bairamov, E. and E. Ugurlu, Eigenparameter dependent Sturm-Liouville problems in boudary conditions with transmissionconditions, J. Math. Anal. Appl. 401, 88-396 (2013).
  2. Akbarfam, I., A. Jodayree A., Resolvent Operator and Self-Adjointness of Sturm-Liouville Operators with a Finite Number of TransmissionConditions, Mediterranean Journal Of Mathematics, 11(2), 447-462(2014).
  3. Ao J. and Sun J. Matrix representations of SturmˆuLiouville problems with coupled eigenparameter-dependent boundary conditions, AppliedMathematics and Computation 244, 142ˆu148(2014).
  4. Aydemir, K., Mukhtarov, O., A Class of Sturm-Liouville Problems with Eigenparameter Dependent Transmission Conditions, NumericalFunctional Analysis and Optimization, (2017), Doi: 10.1080/01630563.2017.1316995.
  5. Aydemir, K., Ol˘gar, H., Mukhtarov, O. Sh. and Muhtarov, F. S., Di erential operator equations with interface conditions in modified directsum spaces, Filomat, 32:3 (2018), 921-931.
  6. Bairamov, E. and Ugurlu, E. On the characteristic values of the real component of a dissipative boundary value transmission problem, Appl.Math. and Comp. 218, 9657-9663(2012).
  7. Cannon J. R. and Meyer, G.H.On a Di usion in a Fractured Medium, SIAM J. Appl. Math., 3, 434-448(1971).[8] Hıra F.and Altınıs¸ık N., Sampling theorems for Sturm-Liouville problem with moving discontinuity points, Boundary Value Problems,2014:237(2014).
  8. Hıra F.and Altınıs¸ık N., Sampling theorems for Sturm-Liouville problem with moving discontinuity points, Boundary Value Problems, 2014:237(2014).
  9. Kandemir, M. and Mukhtarov, O. Sh., Nonlocal Sturm-Liouville Problems with Integral Terms in the Boundary Conditions, Electronic Journalof Di erential Equations, Vol. 2017 (2017), No. 11, pp. 1-12.
  10. Mukhtarov, O.Sh., Olˇgar, H. and Aydemir, K., Resolvent Operator and Spectrum of New Type Boundary Value Problems, Filomat, 29:7 (2015),1671-1680.
  11. Olğar, H. and Mukhtarov, O. Sh.,Weak Eigenfunctions Of Two-Interval Sturm-Liouville Problems TogetherWith Interaction Conditions, Journalof Mathematical Physics, 58, 042201, DOI: 10.1063/1.4979615 (2017).
  12. 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).
  13. Pham Huy H. and Sanchez-Palencia E., Ph enomenes des transmission a travers des couches minces de conductivite elevee J. Math. Anal.Appl., 47, 284-309(1974).