본문 바로가기
KERD
논문KCI 등재

Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem

Serkan Araci|Erdogan Sen
장전수학회 (Jangjeon Mathematical Society)|2012.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제15권 제4호|pp. 455-464|DOI 10.17777/pjms.2012.15.4.013

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

In this work, we study a fourth-order boundary value prob-lem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear opera-tor A is de…ned in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We discuss asymptotic behavior of its eigenvalues and fundamental solutions.

Abstract

In this work, we study a fourth-order boundary value prob-lem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear opera-tor A is de…ned in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We discuss asymptotic behavior of its eigenvalues and fundamental solutions.

참고문헌 (12)

  1. T. Kim, "Identities involving Frobenius.Euler polynomials arising from non-linear di¤erential equations", Journal of Number Theory, 132(12), pp.2854~2865 (2012)
  2. M. Demirci, "Asymptotic behavior of eigenvalues and eigenfuctions of one discontinuous boundary-value problem", Intenational Jounal of Computational Cognition, 2(3), pp.101~113 (2004)
  3. D. Buschmann, "One-dimensional Schrödinger operators with local point interactions", Journal für die Reine und Angewandte Mathematik, 467, pp.169~186 (1995)
  4. M. Kadakal, "Mukhtarov, Sturm-Liouville problems with discontinuities at two points", Comput. Math. Appl, 54, pp.1367~1379 (2007)
  5. Q. Yang, "Asymptotic behavior of a di¤erential operator with discontinuities at two points", Mathematical Methods in the Applied Sciences, 34, pp.373~383 (2011)
  6. E. ¸Sen, "Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the boundary condition", Mathematical and Computer Modelling, 54, pp.3090~3097 (2011)
  7. C.T. Fulton, "Two-point boundary value problems with eigenvalue parameter con- tained in the boundary conditions", Proc. Roy. Soc. Edinburgh Sect. A, 77, pp.293~308 (1977)
  8. I. Titeux, "Completeness of root functions for thermal conduction in a strip with piecewise continuous coe¢ cients", Math. Models Methods Appl, 7(7), pp.1035~1050 (1997)
  9. P.A. Binding, "Oscillation theory for inde.nite Sturm.Liouville prob- lems with eigen-parameter-dependent boundary conditions", Proc. Roy. Soc. Edin- burgh Sect. A, 127, pp.1123~1136 (1997)
  10. N.B. Kerimov, "On a boundary value problem with a spectral para- meter in the boundary conditions", Sibirsk. Mat. Zh, 40(2), pp.325~335 (1999)
  11. Q. Yang, "A class of fourth-order di¤erential operators with transmission conditions", Iranian Journal of Science and Technology Transaction A, 4, pp.323~332 (2011)
  12. Q. Yang, "Spectrum of a fourth order di¤erential operator with discontinuities at two points", International Journal of Modern Mathematical Sciences, 1(3), pp.134~142 (2012)

관련 논문AI추천

DISCONTINUOUS TWO-POINT BOUNDARY VALUE PROBLEMS WITH EIGENPARAMETER IN THE BOUNDARY CONDITIONSErdogan Sen, KAMIL ORUCOGLU, MEHMET ACIKGOZ, Serkan Araci장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제2호The computation of positive solutions for a boundary value problem of the linear beam equationBo Yang, Jun Ji대한수학회 · 대한수학회논문집2017 · 제32권 제1호A NUMERICAL ALGORITHM FOR SINGULAR MULTI-POINT BVPS USING THE REPRODUCING KERNEL METHODYingzhen Lin, Yuntao Jia한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호The homotopy perturbation method for the eigenelements of a class of two-point boundary value problemsB. S. Attili, M. I. Syam장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제1호Solving singular nonlinear two-point boundary value problems in the reproducing kernel spaceFazhan Geng, Minggen Cui대한수학회 · 대한수학회지2008 · 제45권 제3호Numerical method for a 2nth-order boundary value problemBo Wang, Chenmei Xu, Shuai Jian대한수학회 · 대한수학회지2013 · 제50권 제4호

이 간행물의 다른 논문 (14건)

Simplified model for finite-dimensional quasirepresentaions of amenable groupsA. I. Shternpp. 355-360Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomialsS. H. Rim, 김대산, D. V. Dolgy, T. Kimpp. 361-370A note on vague-smooth homomorphismC.S. Ryoo, H.Y. Lee, 정남순pp. 371-377Common fixed points of weakly contractive and compatible mapsGbenga Akinbo, O.T. Mewomopp. 379-387A further generalization of the Euler polynomials and on the 2D-Euler polynomialsBURAK KURTpp. 389-394
원문 보기