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Volumn 188, Issue 2, 2007, Pages 1878-1890

Generalized approximations and rapid convergence of solutions of m-point boundary value problems

Author keywords

m point problems; Quasilinearization; Rapid convergence; Upper and lower solutions

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR SYSTEMS; PROBLEM SOLVING;

EID: 34248146903     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.138     Document Type: Article
Times cited : (14)

References (15)
  • 1
    • 52449113563 scopus 로고    scopus 로고
    • Generalized quasilinearization method for a second order three point boundary value problem with nonlinear boundary conditions
    • Ahmad B., Khan R.A., and Eloe P.W. Generalized quasilinearization method for a second order three point boundary value problem with nonlinear boundary conditions. Electr. J. Diff. Equat. 90 (2002)
    • (2002) Electr. J. Diff. Equat. , vol.90
    • Ahmad, B.1    Khan, R.A.2    Eloe, P.W.3
  • 4
    • 0002720957 scopus 로고
    • On the theory of nonlocal boundary value problem
    • Bitsadze A.V. On the theory of nonlocal boundary value problem. Soviet Math. Dokl. 30 (1984) 5369-5374
    • (1984) Soviet Math. Dokl. , vol.30 , pp. 5369-5374
    • Bitsadze, A.V.1
  • 5
    • 0742317416 scopus 로고    scopus 로고
    • The method of quasilinearization and a three-point boundary value problem
    • Eloe P.W., and Gao Y. The method of quasilinearization and a three-point boundary value problem. J. Korean Math. Soc. 39 (2002) 319-330
    • (2002) J. Korean Math. Soc. , vol.39 , pp. 319-330
    • Eloe, P.W.1    Gao, Y.2
  • 6
    • 0000506875 scopus 로고    scopus 로고
    • Existence and multiplicity of positive solutions to nonlinear boundary value problems
    • Erbe L.H., and Tang M. Existence and multiplicity of positive solutions to nonlinear boundary value problems. Diff. Equat. Dyn. Syst. 4 (1996) 313-320
    • (1996) Diff. Equat. Dyn. Syst. , vol.4 , pp. 313-320
    • Erbe, L.H.1    Tang, M.2
  • 7
    • 0000384611 scopus 로고
    • Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects
    • II'in A.V., and Moiseev E.I. Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Diff. Equat. 23 (1987) 803-810
    • (1987) Diff. Equat. , vol.23 , pp. 803-810
    • II'in, A.V.1    Moiseev, E.I.2
  • 8
    • 33947715240 scopus 로고    scopus 로고
    • R.A. Khan, Approximation and rapid convergence of solutions of nonlinear three point boundary value problems, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.08.045.
  • 9
    • 28244480801 scopus 로고    scopus 로고
    • Existence and approximation of solutions of second order nonlinear four point boundary value problems
    • Khan R.A., and Lopez R.R. Existence and approximation of solutions of second order nonlinear four point boundary value problems. Nonlinear Anal. 63 (2005) 1094-1115
    • (2005) Nonlinear Anal. , vol.63 , pp. 1094-1115
    • Khan, R.A.1    Lopez, R.R.2
  • 11
    • 4344709590 scopus 로고    scopus 로고
    • Three positive solutions for second-order m-point boundary value problems
    • Liu X., Qiu J., and Guo Y. Three positive solutions for second-order m-point boundary value problems. Appl. Math. Comput. 156 (2004) 1733-1742
    • (2004) Appl. Math. Comput. , vol.156 , pp. 1733-1742
    • Liu, X.1    Qiu, J.2    Guo, Y.3
  • 12
    • 0037658906 scopus 로고    scopus 로고
    • Positive solutions of nonlinear three point boundary value problems
    • Ma R., and Wang H. Positive solutions of nonlinear three point boundary value problems. J. Math. Anal. Appl. 279 (2003) 216-227
    • (2003) J. Math. Anal. Appl. , vol.279 , pp. 216-227
    • Ma, R.1    Wang, H.2
  • 13
    • 0142031022 scopus 로고    scopus 로고
    • Multiple positive solutions for nonlinear m-point boundary value problems
    • Ma R. Multiple positive solutions for nonlinear m-point boundary value problems. Appl. Math. Comput. 148 (2004) 249-262
    • (2004) Appl. Math. Comput. , vol.148 , pp. 249-262
    • Ma, R.1
  • 14
    • 0348233980 scopus 로고    scopus 로고
    • Three positive solutions of a nonlinear three-point boundary value problem
    • Sun J.-P., Li W.-T., and Zhao Y.-H. Three positive solutions of a nonlinear three-point boundary value problem. J. Math. Anal. Appl. 288 (2003) 708-716
    • (2003) J. Math. Anal. Appl. , vol.288 , pp. 708-716
    • Sun, J.-P.1    Li, W.-T.2    Zhao, Y.-H.3
  • 15
    • 4544291190 scopus 로고    scopus 로고
    • Multiple sign-changing solutions for some m-point boundary value problems
    • Xu X. Multiple sign-changing solutions for some m-point boundary value problems. Electr. J. Diff. Equat. 2004 89 (2004) 1-14
    • (2004) Electr. J. Diff. Equat. , vol.2004 , Issue.89 , pp. 1-14
    • Xu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.