메뉴 건너뛰기




Volumn 185, Issue 1, 2007, Pages 527-537

On numerical studies of multi-point boundary value problem and its fold bifurcation

Author keywords

Fold bifurcation; Multi point boundary value problem; Numerical computation; Shooting method

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33846937009     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.064     Document Type: Article
Times cited : (45)

References (28)
  • 1
    • 33846928136 scopus 로고
    • Self-adjointness of a certain type of vectorial boundary value problems
    • Adem J., and Moshinsky M. Self-adjointness of a certain type of vectorial boundary value problems. Bol. Soc. Mat. Mexicana 7 (1950) 1-17
    • (1950) Bol. Soc. Mat. Mexicana , vol.7 , pp. 1-17
    • Adem, J.1    Moshinsky, M.2
  • 2
    • 0000894379 scopus 로고
    • Three-point boundary value problems in differential equations
    • Greguš M., Neuman F., and Arscott F.M. Three-point boundary value problems in differential equations. J. London Math. Soc. 2 (1971) 429-436
    • (1971) J. London Math. Soc. , Issue.2 , pp. 429-436
    • Greguš, M.1    Neuman, F.2    Arscott, F.M.3
  • 3
    • 0000997468 scopus 로고
    • Nonlinear desingularization in certain free-boundary problems
    • Berger M.S., and Fraenkel L.E. Nonlinear desingularization in certain free-boundary problems. Comm. Math. Phys. 77 2 (1980) 149-172
    • (1980) Comm. Math. Phys. , vol.77 , Issue.2 , pp. 149-172
    • Berger, M.S.1    Fraenkel, L.E.2
  • 4
    • 27144554517 scopus 로고
    • A nonlocal boundary value problem of the second kind for the Sturm-Liouville operator
    • 1471
    • Il'in V.A., and Moiseev E.I. A nonlocal boundary value problem of the second kind for the Sturm-Liouville operator. Differentsial' nye Uravneniya 23 8 (1987) 1422-1431 1471
    • (1987) Differentsial' nye Uravneniya , vol.23 , Issue.8 , pp. 1422-1431
    • Il'in, V.A.1    Moiseev, E.I.2
  • 5
    • 0035872025 scopus 로고    scopus 로고
    • Existence of solutions of nonlinear m-point boundary-value problems
    • Ma R., and Castaneda N. Existence of solutions of nonlinear m-point boundary-value problems. J. Math. Anal. Appl. 256 2 (2001) 556-567
    • (2001) J. Math. Anal. Appl. , vol.256 , Issue.2 , pp. 556-567
    • Ma, R.1    Castaneda, N.2
  • 6
    • 3242691704 scopus 로고    scopus 로고
    • On existence and multiplicity of positive solutions to singular multi-point boundary value problems
    • Zhang Z., and Wang J. On existence and multiplicity of positive solutions to singular multi-point boundary value problems. J. Math. Anal. Appl. 295 2 (2004) 502-512
    • (2004) J. Math. Anal. Appl. , vol.295 , Issue.2 , pp. 502-512
    • Zhang, Z.1    Wang, J.2
  • 7
    • 1842843809 scopus 로고    scopus 로고
    • Positive solutions for nonhomogeneous m-point boundary value problems
    • Ma R. Positive solutions for nonhomogeneous m-point boundary value problems. Comput. Math. Appl. 47 4-5 (2004) 689-698
    • (2004) Comput. Math. Appl. , vol.47 , Issue.4-5 , pp. 689-698
    • Ma, R.1
  • 8
    • 0037442108 scopus 로고    scopus 로고
    • Positive solutions for second-order m-point boundary value problems
    • Guo Y., Shan W., and Ge W. Positive solutions for second-order m-point boundary value problems. J. Comput. Appl. Math. 151 2 (2003) 415-424
    • (2003) J. Comput. Appl. Math. , vol.151 , Issue.2 , pp. 415-424
    • Guo, Y.1    Shan, W.2    Ge, W.3
  • 9
    • 4243074079 scopus 로고    scopus 로고
    • Multi-point boundary value problems of second-order differential equations. I
    • Kong L., and Kong Q. Multi-point boundary value problems of second-order differential equations. I. Nonlinear Anal. 58 7-8 (2004) 909-931
    • (2004) Nonlinear Anal. , vol.58 , Issue.7-8 , pp. 909-931
    • Kong, L.1    Kong, Q.2
  • 10
    • 0000837053 scopus 로고    scopus 로고
    • A Dirichlet type multi-point boundary value problem for second order ordinary differential equations
    • Gupta C.P. A Dirichlet type multi-point boundary value problem for second order ordinary differential equations. Nonlinear Anal. 26 5 (1996) 925-931
    • (1996) Nonlinear Anal. , vol.26 , Issue.5 , pp. 925-931
    • Gupta, C.P.1
  • 11
    • 0000784681 scopus 로고    scopus 로고
    • A generalized multi-point boundary value problem for second order ordinary differential equations
    • Differential equations and computational simulations, II (Mississippi State, MS, 1995)
    • Gupta C.P. A generalized multi-point boundary value problem for second order ordinary differential equations. Appl. Math. Comput. 89 1-3 (1998) 133-146 Differential equations and computational simulations, II (Mississippi State, MS, 1995)
    • (1998) Appl. Math. Comput. , vol.89 , Issue.1-3 , pp. 133-146
    • Gupta, C.P.1
  • 12
    • 0035452062 scopus 로고    scopus 로고
    • Positive solutions of a nonlinear m-point boundary value problem
    • Ma R. Positive solutions of a nonlinear m-point boundary value problem. Comput. Math. Appl. 42 6-7 (2001) 755-765
    • (2001) Comput. Math. Appl. , vol.42 , Issue.6-7 , pp. 755-765
    • Ma, R.1
  • 13
    • 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 3 (2004) 733-742
    • (2004) Appl. Math. Comput. , vol.156 , Issue.3 , pp. 733-742
    • Liu, X.1    Qiu, J.2    Guo, Y.3
  • 14
    • 0141850345 scopus 로고    scopus 로고
    • Positive solutions to a second order three-point boundary value problem
    • Zhang Z., and Wang J. Positive solutions to a second order three-point boundary value problem. J. Math. Anal. Appl. 285 1 (2003) 237-249
    • (2003) J. Math. Anal. Appl. , vol.285 , Issue.1 , pp. 237-249
    • Zhang, Z.1    Wang, J.2
  • 15
    • 0042854731 scopus 로고    scopus 로고
    • Nontrivial solutions of singular nonlinear m-point boundary value problems
    • Liu X. Nontrivial solutions of singular nonlinear m-point boundary value problems. J. Math. Anal. Appl. 284 2 (2003) 576-590
    • (2003) J. Math. Anal. Appl. , vol.284 , Issue.2 , pp. 576-590
    • Liu, X.1
  • 16
    • 0001560551 scopus 로고    scopus 로고
    • Wenying Feng, On an M-point boundary value problem, in: Proceedings of the Second World Congress of Nonlinear Analysts, Part 8 (Athens, 1996), 30 (1997) 5369-5374.
  • 17
    • 0037431586 scopus 로고    scopus 로고
    • Existence of multiple positive solutions for nonlinear m-point boundary-value problems
    • Bai C.-Z., and Fang J.-X. Existence of multiple positive solutions for nonlinear m-point boundary-value problems. Appl. Math. Comput. 140 2-3 (2003) 297-305
    • (2003) Appl. Math. Comput. , vol.140 , Issue.2-3 , pp. 297-305
    • Bai, C.-Z.1    Fang, J.-X.2
  • 18
    • 10144224236 scopus 로고    scopus 로고
    • Solvability of singular second order m-point boundary value problems
    • Ma R., and O'Regan D. Solvability of singular second order m-point boundary value problems. J. Math. Anal. Appl. 301 1 (2005) 124-134
    • (2005) J. Math. Anal. Appl. , vol.301 , Issue.1 , pp. 124-134
    • Ma, R.1    O'Regan, D.2
  • 19
    • 0742307262 scopus 로고    scopus 로고
    • An m-point boundary value problem of Neumann type for a p-Laplacian like operator
    • Garci{dotless}́a-Huidobro M., Gupta C.P., and Manásevich R. An m-point boundary value problem of Neumann type for a p-Laplacian like operator. Nonlinear Anal. 56 7 (2004) 1071-1089
    • (2004) Nonlinear Anal. , vol.56 , Issue.7 , pp. 1071-1089
    • García-Huidobro, M.1    Gupta, C.P.2    Manásevich, R.3
  • 20
    • 0037443323 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance. II.
    • Liu B. Solvability of multi-point boundary value problem at resonance. II. Appl. Math. Comput. 136 2-3 (2003) 353-377
    • (2003) Appl. Math. Comput. , vol.136 , Issue.2-3 , pp. 353-377
    • Liu, B.1
  • 21
    • 0037097110 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance. III
    • Liu B., and Yu J. Solvability of multi-point boundary value problem at resonance. III. Appl. Math. Comput. 129 1 (2002) 119-143
    • (2002) Appl. Math. Comput. , vol.129 , Issue.1 , pp. 119-143
    • Liu, B.1    Yu, J.2
  • 22
    • 0037845059 scopus 로고    scopus 로고
    • Solvability of multi-point boundary value problem at resonance. IV
    • Liu B. Solvability of multi-point boundary value problem at resonance. IV. Appl. Math. Comput. 143 2-3 (2003) 275-299
    • (2003) Appl. Math. Comput. , vol.143 , Issue.2-3 , pp. 275-299
    • Liu, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.