본문 바로가기
KERD
논문KCI 등재

DISCONTINUOUS TWO-POINT BOUNDARY VALUE PROBLEMS WITH EIGENPARAMETER IN THE BOUNDARY CONDITIONS

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In the present paper, we deal with discontinuous two-pointboundary value problems with eigenparameter in the boundary condi-tions with transmission conditions at the three points of discontinuities. We obtain asymptotic formulae for the eigenvalues and then we …nd thecorresponding eigenfunctions for these eigenvalues.

Abstract

In the present paper, we deal with discontinuous two-pointboundary value problems with eigenparameter in the boundary condi-tions with transmission conditions at the three points of discontinuities. We obtain asymptotic formulae for the eigenvalues and then we …nd thecorresponding eigenfunctions for these eigenvalues.

참고문헌 (20)

  1. T. Kim, "Identities involving Frobenius–Euler polynomials arising from non-linear differential equations", Journal of Number Theory, 132(12), pp.2854~2865 (2012)
  2. D. Buschmann, "One-dimensional Schrödinger operators with local point interactions", Journal für die Reine und Angewandte Mathematik, 467, pp.169~186 (1995)
  3. M. Kadakal, "Sturm-Liouville problems with discontinuities at two points", Comput. Math. Appl., 54, pp.1367~1379 (2007)
  4. Q. Yang, "Asymptotic behavior of a differential operator with discontinuities at two points", Math. Meth. Appl. Sci, 34, pp.373~383 (2011)
  5. C. T. Fulton, "Two-point boundary value problems with eigenvalue parameter con- tained in the boundary conditions", Proc. Roy. Soc. Edinburgh Sect, A77, pp.293~308 (1977)
  6. M. Kobayashi, "Eigenvalues of discontinuous Sturm–Liouville problems with symmet- ric potential", Comput. Math. Appl, 18(4), pp.357~364 (1989)
  7. A. V. Likov, "The Theory of Heat and Mass Transfer" (1963), Qosenerqoizdat
  8. P. A. Binding, "Oscillation theory for inde…nite Sturm–Liouville prob- lems with eigen-parameter-dependent boundary conditions", Proc. Roy. Soc. Edin- burgh Sect, A127, pp.1123~1136 (1997)
  9. D. B. Hinton, "An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary conditions", Q. J. Math, 30, pp.33~42 (1979)
  10. N. B. Kerimov, "On a boundary value problem with a spectral parameter in the boundary conditions, Sibirsk", Mat. Zh, 40(2), pp.325~335 (1999)
  11. A.A. Shkalikov, "Boundary value problems for ordinary differential equations with a parameter in boundary condition", Trudy Sem. Imeny I. G. Petrowsgo, 9, pp.190~229 (1983)
  12. J. Walter, "Regular eigenvalue problems with eigenvalue parameter in the boundary conditions", Math. Z, 133, pp.301~312 (1973)
  13. S. Yakubov, "Abel basis of root functions of regular boundary value problems", Math. Nachr, 197, pp.157~187 (1999)
  14. S. Yakubov, "Differential-Operator Equations. Ordinary and Partial Dif- ferential Equations", pp.2000, Chapman and Hall
  15. E. Sen, "Asymptotic behavior of eigenvalues and funda- mental solutions of one discontinuous fourth-order boundary value problem", Research Journal of Mathematical and Statistical Sciences, 1(1), pp.23~32 (2013)
  16. 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)
  17. E. Sen, "Asymptotic formulations of the eigenvalues and eigenfunc- tions for a boundary value problem", Mathematical Methods in the Applied Sciences (2012)[DOI]
  18. M.N. Naimark, "Linear Differential Operators" (1967), Ungar
  19. E.C. Titchmarsh, "Eigenfunctions Expansion Associated With Second Order Differen- tial Equation 1" (1962), Oxford University Press
  20. A. Zygmund, "Trigonometric Series I" (1959), Pergamon

관련 논문AI추천

이 간행물의 다른 논문 (14건)