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Applicable Analysis
An International Journal
Volume 81, 2002 - Issue 5
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Original Articles

Problems for Ordinary Differential Equations with Transmission Conditions

Oktay Muhtarov Fen-Edibiyat FakÜltesi, Matematik BölÜmÜ Tasliciftik, Gaziosmanpasa Üniversitesi, Tokat, Turkey
&
Sasun Yakubov Department of Mathematics, University of Haifa, Haifa, 31905, Israel
Pages 1033-1064 | Published online: 09 Sep 2010

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Read on this site (3)

Na Zhang & Ji-Jun Ao. (2023) Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter. Numerical Functional Analysis and Optimization 44:1, pages 21-35.
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K. Aydemir & O.Sh. Mukhtarov. (2022) A new type Sturm-Liouville problem with an abstract linear operator contained in the equation. Quaestiones Mathematicae 45:12, pages 1931-1948.
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Kadriye Aydemir & Oktay Sh. Mukhtarov. (2017) Class of Sturm–Liouville Problems with Eigenparameter Dependent Transmission Conditions. Numerical Functional Analysis and Optimization 38:10, pages 1260-1275.
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Articles from other publishers (58)

Na Zhang & Ji-jun Ao. (2023) Finite spectrum of fourth-order boundary value problems with boundary and transmission conditions dependent on the spectral parameter. Open Mathematics 21:1.
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Haiyan Zhang, Yufeng Chen & Ji-jun Ao. (2023) A generalized discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter. Journal of Differential Equations 352, pages 354-372.
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Hayati Olgar. (2023) On completeness of weak eigenfunctions for multi-interval Sturm-Liouville equations with boundary-interface conditions. Demonstratio Mathematica 56:1.
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Hayati Olğar, Oktay S. Mukhtarov, Fahreddin S. Muhtarov & Kadriye Aydemir. (2022) The weak eigenfunctions of boundary-value problem with symmetric discontinuities. Journal of Applied Analysis 28:2, pages 275-283.
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Tevhide BALTÜRK & Mustafa KANDEMİR. (2022) SPECTRAL PROPERTIES OF DISCONTINUOUS BOUNDARY VALUE PROBLEM WITH TRANSMISSION CONDITIONS AND MANYPOINT SINGULARITIES. Turkish Journal of Mathematics and Computer Science.
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Semih ÇAVUŞOĞLU & Oktay MUKHTAROV. (2022) Modified Finite Difference Method for Solution of Two-interval Boundary Value Problems with Transition Conditions. Turkish Journal of Mathematics and Computer Science 14:1, pages 98-106.
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Hai-Yan Zhang, Ji-jun Ao & Meng-lei Li. (2022) Dependence of Eigenvalues of Sturm–Liouville Problems with Eigenparameter-Dependent Boundary Conditions and Interface Conditions. Mediterranean Journal of Mathematics 19:2.
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Semih ÇavuşoğluOktay Sh. Mukhtarov. (2022) A new finite difference algorithm for boundary value problems involving transmission conditions. e-Journal of Analysis and Applied Mathematics 2022:1, pages 1-13.
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Semih Çavuşoğlu & Oktay MukhtarovSh.Sh.. (2022) Generalized finite difference method for solving two-interval Sturm-Liouville problems with jump conditions. Filomat 36:13, pages 4505-4513.
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Nida Palamut Koşar. (2021) The Parseval identity for q-Sturm–Liouville problems with transmission conditions. Advances in Difference Equations 2021:1.
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Abdullah Ergün & Rauf Amirov. (2020) Half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter. Numerical Methods for Partial Differential Equations.
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Bilender P. Allahverdiev & Hüseyin Tuna. (2020) On the resolvent of singular Sturm‐Liouville operators with transmission conditions. Mathematical Methods in the Applied Sciences.
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Yulin Bai, Wanyi Wang & Kun Li. (2019) Solvability and coerciveness of multi-point Sturm–Liouville problems with abstract linear functionals. Boundary Value Problems 2019:1.
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G. Arul Joseph & S. Balamuralitharan. Solutions of linear ordinary differential equations by eigenvector function. Solutions of linear ordinary differential equations by eigenvector function.
Zhaowen Zheng, Jinming Cai, Kun Li & Maozhu Zhang. (2018) A discontinuous Sturm–Liouville problem with boundary conditions rationally dependent on the eigenparameter. Boundary Value Problems 2018:1.
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Kun Li, Jiong Sun & Xiaoling Hao. (2017) Spectral Analysis for Dissipative Singular Sturm–Liouville Operators with Transmission Conditions. Iranian Journal of Science and Technology, Transactions A: Science 42:4, pages 2207-2215.
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Mustafa Kandemir & Oktay Sh. Mukhtarov. (2018) Solvability of fourth‐order Sturm‐Liouville problems with abstract linear functionals in boundary‐transmission conditions. Mathematical Methods in the Applied Sciences 41:10, pages 3643-3652.
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Mei-zhen Xu, Wan-yi Wang & Ji-jun Ao. (2016) Finite Spectrum of Sturm–Liouville Problems with n Transmission Conditions. Iranian Journal of Science and Technology, Transactions A: Science 42:2, pages 811-817.
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Jinming Cai & Zhaowen Zheng. (2018) Matrix representations of Sturm‐Liouville problems with coupled eigenparameter‐dependent boundary conditions and transmission conditions. Mathematical Methods in the Applied Sciences 41:9, pages 3495-3508.
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Kun Li, Jiong Sun & Xiaoling Hao. (2017) Dependence of eigenvalues of 2nth order boundary value transmission problems. Boundary Value Problems 2017:1.
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Xiao-xia Lv, Ji-jun Ao & Anton Zettl. (2017) Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem. Journal of Mathematical Analysis and Applications 456:1, pages 671-685.
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Kun Li, Jiong Sun & Xiaoling Hao. (2017) Weyl Function of Sturm–Liouville Problems with Transmission Conditions at Finite Interior Points. Mediterranean Journal of Mathematics 14:5.
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Kun Li, Jiong Sun, Xiaoling Hao & Qinglan Bao. (2017) Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition. Journal of Mathematical Analysis and Applications 453:1, pages 304-316.
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Kun Li, Jiong Sun & Xiaoling Hao. (2017) Eigenvalues of regular fourth-order Sturm-Liouville problems with transmission conditions. Mathematical Methods in the Applied Sciences 40:10, pages 3538-3551.
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H. Olǧar & F. S. Muhtarov. (2017) The Basis Property of the System of Weak Eigenfunctions of a Discontinuous Sturm–Liouville Problem. Mediterranean Journal of Mathematics 14:3.
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Kadriye Aydemir & Hayati Olğar. Coercive solvability of two-interval Sturm-Liouville problems with abstract linear operator. Coercive solvability of two-interval Sturm-Liouville problems with abstract linear operator.
Kadriye Aydemir & Oktay Sh Mukhtarov. (2016) Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions. Advances in Difference Equations 2016:1.
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Yingchun Zhao, Jiong Sun & Anton Zettl. (2016) Self-adjoint Sturm-Liouville problems with an infinite number of boundary conditions. Mathematische Nachrichten 289:8-9, pages 1148-1169.
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Erdoğan Şen & O. Sh. Mukhtarov. (2014) Spectral Properties of Discontinuous Sturm–Liouville Problems with a Finite Number of Transmission Conditions. Mediterranean Journal of Mathematics 13:1, pages 153-170.
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Hayati Olgar, Oktay Mukhtarov & Kadriye Aydemir. Some properties of eigenvalues and generalized eigenvectors of one boundary-value problem. Some properties of eigenvalues and generalized eigenvectors of one boundary-value problem.
Kadriye Aydemir, Oktay Sh. Mukhtarov & Hayati Olğar. Differential operator equations with interface conditions in modified direct sum spaces. Differential operator equations with interface conditions in modified direct sum spaces.
O. Sh. Mukhtarov, H. Olğar & K. Aydemir. Generalized eigenfunctions of one Sturm-Liouville system with symmetric jump conditions. Generalized eigenfunctions of one Sturm-Liouville system with symmetric jump conditions.
Kadriye Aydemir & Oktay S Mukhtarov. (2015) Second-order differential operators with interior singularity. Advances in Difference Equations 2015:1.
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Kadriye Aydemir & Oktay Sh. Mukhtarov. (2015) Spectrum and Green’s Function of a Many-Interval Sturm–Liouville Problem. Zeitschrift für Naturforschung A 70:5, pages 301-308.
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Oktay Sh. MUKHTAROV & Kadriye AYDEMIR. (2015) Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point. Acta Mathematica Scientia 35:3, pages 639-649.
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Kadriye Aydemir. (2014) Boundary value problems with eigenvalue-dependent boundary and transmission conditions. Boundary Value Problems 2014:1.
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Maozhu Zhang. (2014) Regular approximation of singular Sturm–Liouville problems with transmission conditions. Applied Mathematics and Computation 247, pages 511-520.
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I. Dehghani & A. Jodayree Akbarfam. (2013) Resolvent Operator and Self-Adjointness of Sturm–Liouville Operators with a Finite Number of Transmission Conditions. Mediterranean Journal of Mathematics 11:2, pages 447-462.
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O. Sh. Mukhtarov & K. Aydemir. (2014) New Type of Sturm-Liouville Problems in Associated Hilbert Spaces. Journal of Function Spaces 2014, pages 1-7.
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Ji-jun Ao, Jiong Sun & Mao-zhu Zhang. (2012) The Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions and Eigenparameter-Dependent Boundary Conditions. Results in Mathematics 63:3-4, pages 1057-1070.
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Bilender P. Allahverdiev, Elgiz Bairamov & Ekin Ugurlu. (2013) Eigenparameter dependent Sturm–Liouville problems in boundary conditions with transmission conditions. Journal of Mathematical Analysis and Applications 401:1, pages 388-396.
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Qingkai Kong & Qi-Ru Wang. (2011) Using Time Scales to Study Multi-Interval Sturm–Liouville Problems with Interface Conditions. Results in Mathematics 63:1-2, pages 451-465.
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K. Aydemir & O. Sh. Mukhtarov. (2013) Green's Function Method for Self-Adjoint Realization of Boundary-Value Problems with Interior Singularities. Abstract and Applied Analysis 2013, pages 1-7.
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Hüseyin Tuna & Aytekin Eryılmaz. (2013) Dissipative Sturm-Liouville Operators with Transmission Conditions. Abstract and Applied Analysis 2013, pages 1-7.
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JIANQING SUO & WANYI WANG. (2011) TWO-INTERVAL EVEN-ORDER DIFFERENTIAL OPERATORS IN MODIFIED HILBERT SPACES. Bulletin of the Australian Mathematical Society 85:2, pages 241-260.
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Ji-jun Ao, Jiong Sun & Mao-zhu Zhang. (2011) The finite spectrum of Sturm–Liouville problems with transmission conditions. Applied Mathematics and Computation 218:4, pages 1166-1173.
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Weibing Wang & Jianhua Shen. (2011) Eigenvalue problems of second order impulsive differential equations. Computers & Mathematics with Applications 62:1, pages 142-150.
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C. A. Liondas & D. P. Chrissoulidis. (2010) Two-Interval Sturm–Liouville Theory for the Electrostatic Potential of a Point Charge near a Dielectric Cone. SIAM Journal on Applied Mathematics 70:7, pages 2329-2352.
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Z. AKDOĞAN & Z. ŞAŞMAZ. (2008) STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL. Bulletin of the Australian Mathematical Society 77:3, pages 485-494.
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M. Kadakal & O.Sh. Mukhtarov. (2007) Sturm–Liouville problems with discontinuities at two points. Computers & Mathematics with Applications 54:11-12, pages 1367-1379.
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Z. Akdoğan, M. Demirci & O. Sh. Mukhtarov. (2007) Green function of discontinuous boundary‐value problem with transmission conditions. Mathematical Methods in the Applied Sciences 30:14, pages 1719-1738.
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B. Chanane. (2007) Sturm–Liouville problems with impulse effects. Applied Mathematics and Computation 190:1, pages 610-626.
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Aiping Wang, Jiong Sun & Anton Zettl. (2007) Two-interval Sturm–Liouville operators in modified Hilbert spaces. Journal of Mathematical Analysis and Applications 328:1, pages 390-399.
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A. Boumenir. (2005) Sampling the miss-distance and transmission function. Journal of Mathematical Analysis and Applications 310:1, pages 197-208.
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Z. Akdoĝan, M. Demirci & O.Sh. Mukhtarov. (2005) STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS. Acta Mathematica Scientia 25:4, pages 731-740.
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O. Sh. Mukhtarov & M. Kadakal. (2005) Some Spectral Properties of One Sturm-Liouville Type Problem with Discontinuous Weight. Siberian Mathematical Journal 46:4, pages 681-694.
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Z. Akdoğan, M. Demirci & O. Sh. Mukhtarov. (2005) Discontinuous Sturm–Liouville Problems with Eigenparameter-Dependent Boundary and Transmissions Conditions. Acta Applicandae Mathematicae 86:3, pages 329-344.
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O. Sh. Mukhtarov & E. Tunç. (2004) Eigenvalue problems for Sturm Liouville equations with transmission conditions. Israel Journal of Mathematics 144:2, pages 367-380.
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