메뉴 건너뛰기




Volumn 39, Issue 2, 2009, Pages 659-665

An efficient technique for finding the eigenvalues of fourth-order Sturm-Liouville problems

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

EID: 62549132486     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.105     Document Type: Article
Times cited : (31)

References (21)
  • 1
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth order ordinary differential equation
    • Ma R.Y., and Wang H.Y. On the existence of positive solutions of fourth order ordinary differential equation. Appl Anal 59 (1995) 225-231
    • (1995) Appl Anal , vol.59 , pp. 225-231
    • Ma, R.Y.1    Wang, H.Y.2
  • 2
    • 0021371823 scopus 로고
    • Fourth-order two-point boundary value problems; Estimates by two side bounds
    • Schroder J. Fourth-order two-point boundary value problems; Estimates by two side bounds. Nonlinear Anal 8 (1984) 107-144
    • (1984) Nonlinear Anal , vol.8 , pp. 107-144
    • Schroder, J.1
  • 3
    • 5844393936 scopus 로고
    • Iterative methods for a fourth order boundary value problem
    • Agarwal R.P., and Chow M.Y. Iterative methods for a fourth order boundary value problem. J Comput Appl Math 10 (1984) 203-217
    • (1984) J Comput Appl Math , vol.10 , pp. 203-217
    • Agarwal, R.P.1    Chow, M.Y.2
  • 4
    • 33947175349 scopus 로고
    • On the fourth-order boundary value problems arising in beam analysis
    • Agarwal R.P. On the fourth-order boundary value problems arising in beam analysis. Diff Integral Equat 2 (1989) 91-110
    • (1989) Diff Integral Equat , vol.2 , pp. 91-110
    • Agarwal, R.P.1
  • 5
    • 0002872438 scopus 로고
    • Solvability of some fourth (and higher) order singular boundary value problems
    • O'Regan D. Solvability of some fourth (and higher) order singular boundary value problems. J Math Anal Appl 161 (1991) 78-116
    • (1991) J Math Anal Appl , vol.161 , pp. 78-116
    • O'Regan, D.1
  • 6
    • 38249027575 scopus 로고
    • Existence and uniqueness theorems for a bending of an elastic beam equation at resonance
    • Gupta C.P. Existence and uniqueness theorems for a bending of an elastic beam equation at resonance. J Math Anal Appl 135 (1988) 208-225
    • (1988) J Math Anal Appl , vol.135 , pp. 208-225
    • Gupta, C.P.1
  • 7
    • 33750630894 scopus 로고    scopus 로고
    • Positive solutions of fourth-order nonlinear singular Sturm-Liouville eigenvalue problems
    • Liu L., Zhang X., and Wu Y. Positive solutions of fourth-order nonlinear singular Sturm-Liouville eigenvalue problems. J Math Anal Appl 326 (2007) 1212-1224
    • (2007) J Math Anal Appl , vol.326 , pp. 1212-1224
    • Liu, L.1    Zhang, X.2    Wu, Y.3
  • 8
    • 0038659316 scopus 로고
    • An oscillation method for fourth order self-adjoint two-point boundary value problems with nonlinear eigenvalues
    • Greenberg L. An oscillation method for fourth order self-adjoint two-point boundary value problems with nonlinear eigenvalues. SIAM J Math Anal 22 (1991) 1021-1042
    • (1991) SIAM J Math Anal , vol.22 , pp. 1021-1042
    • Greenberg, L.1
  • 9
    • 0038931055 scopus 로고
    • Oscillation theory and numerical solution of fourth order Sturm-Liouville problem
    • Greenberg L., and Marletta M. Oscillation theory and numerical solution of fourth order Sturm-Liouville problem. IMA J Numer Anal 15 (1995) 319-356
    • (1995) IMA J Numer Anal , vol.15 , pp. 319-356
    • Greenberg, L.1    Marletta, M.2
  • 10
    • 33751512653 scopus 로고    scopus 로고
    • An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems
    • in press
    • Attili BS, Lesnic D. An efficient method for computing eigenelements of Sturm-Liouville fourth-order boundary value problems. Appl Math Comput, in press.
    • Appl Math Comput
    • Attili, B.S.1    Lesnic, D.2
  • 11
    • 0031376840 scopus 로고    scopus 로고
    • Algorithm 775: the code SLEUTH for solving fourth order Sturm-Liouville problems
    • Greenberg L., and Marletta M. Algorithm 775: the code SLEUTH for solving fourth order Sturm-Liouville problems. ACM Trans Math Software 23 (1997) 453-493
    • (1997) ACM Trans Math Software , vol.23 , pp. 453-493
    • Greenberg, L.1    Marletta, M.2
  • 12
    • 0032307661 scopus 로고    scopus 로고
    • Approximate analytical solution for seepage flow with fractional derivatives in porous media
    • He J.H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput Meth Appl Mech Eng 167 1-2 (1998) 57-68
    • (1998) Comput Meth Appl Mech Eng , vol.167 , Issue.1-2 , pp. 57-68
    • He, J.H.1
  • 13
    • 0032308350 scopus 로고    scopus 로고
    • Approximate solution of nonlinear differential equations with convolution product nonlinearities
    • He J.H. Approximate solution of nonlinear differential equations with convolution product nonlinearities. Comput Meth Appl Mech Eng 167 1-2 (1998) 69-73
    • (1998) Comput Meth Appl Mech Eng , vol.167 , Issue.1-2 , pp. 69-73
    • He, J.H.1
  • 14
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of non-linear analytical technique: some examples. Int J Nonlinear Mech 34 4 (1999) 699-708
    • (1999) Int J Nonlinear Mech , vol.34 , Issue.4 , pp. 699-708
    • He, J.H.1
  • 15
    • 0040184009 scopus 로고    scopus 로고
    • Variational iteration method for autonomous ordinary differential systems
    • He J.H. Variational iteration method for autonomous ordinary differential systems. Appl Math Comput 114 2-3 (2000) 115-123
    • (2000) Appl Math Comput , vol.114 , Issue.2-3 , pp. 115-123
    • He, J.H.1
  • 16
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • He J.H. Some asymptotic methods for strongly nonlinear equations. Int J Modern Phys B 20 10 (2006) 1141-1199
    • (2006) Int J Modern Phys B , vol.20 , Issue.10 , pp. 1141-1199
    • He, J.H.1
  • 17
    • 33748922411 scopus 로고    scopus 로고
    • Non-perturbative methods for strongly nonlinear problems
    • Dissertation. de-Verlag im Internet GmbH. Berlin
    • He JH. Non-perturbative methods for strongly nonlinear problems. Dissertation. de-Verlag im Internet GmbH. Berlin, 2006.
    • (2006)
    • He, J.H.1
  • 18
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • He J.H., and Wu X.H. Construction of solitary solution and compacton-like solution by variational iteration method. Chaos Soliton Fract 29 1 (2006) 108-113
    • (2006) Chaos Soliton Fract , vol.29 , Issue.1 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 19
    • 27144467065 scopus 로고    scopus 로고
    • A New applications of variational iteration method
    • Abdou M.A., and Soliman A.A. A New applications of variational iteration method. Physica D 211 1-2 (2005) 1-8
    • (2005) Physica D , vol.211 , Issue.1-2 , pp. 1-8
    • Abdou, M.A.1    Soliman, A.A.2
  • 20
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou M.A., and Soliman A.A. Variational iteration method for solving Burger's and coupled Burger's equations. J Comput Appl Math 181 2 (2005) 245-251
    • (2005) J Comput Appl Math , vol.181 , Issue.2 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 21
    • 0001782498 scopus 로고    scopus 로고
    • Vibration analysis of continuous system by differential transformation
    • Malik M., and Dang H.H. Vibration analysis of continuous system by differential transformation. Appl Math Comput 96 (1998) 17-26
    • (1998) Appl Math Comput , vol.96 , pp. 17-26
    • Malik, M.1    Dang, H.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.