메뉴 건너뛰기




Volumn 84, Issue 12, 2005, Pages 1199-1220

Positive solutions of singular sublinear fourth-order boundary value problems

Author keywords

34B18; Existence; Green's function; Lower and upper solutions; Mathematics Subject Classifications: 34B15; Schauder fixed point theorem; Singular boundary value problem

Indexed keywords


EID: 33645152851     PISSN: 00036811     EISSN: 1563504X     Source Type: Journal    
DOI: 10.1080/00036810500047634     Document Type: Article
Times cited : (20)

References (22)
  • 2
    • 0035341946 scopus 로고    scopus 로고
    • Nonresonant singular two-point boundary value problems
    • Asakawa, H. 2001. Nonresonant singular two-point boundary value problems. Nonlinear Analysis TMA, 44: 791–809.
    • (2001) Nonlinear Analysis TMA , vol.44 , pp. 791-809
    • Asakawa, H.1
  • 3
    • 0037098593 scopus 로고    scopus 로고
    • On positive solutions of some nonlinear fourth-order beam equations
    • Bai, Z, and Wang, H. 2002. On positive solutions of some nonlinear fourth-order beam equations. Journal of Mathematical Analysis and Applications, 270 (2): 357–368.
    • (2002) Journal of Mathematical Analysis and Applications , vol.270 , Issue.2 , pp. 357-368
    • Bai, Z.1    Wang, H.2
  • 4
    • 84968491364 scopus 로고
    • Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition
    • Del Pino, MR, and Manásevich, RF. 1991. Existence for a fourth-order boundary value problem under a two-parameter nonresonance condition. Proceedings of the American Mathematical Society, 112 (1): 81–86.
    • (1991) Proceedings of the American Mathematical Society , vol.112 , Issue.1 , pp. 81-86
    • Del Pino, M.R.1    Manásevich, R.F.2
  • 5
    • 1942513354 scopus 로고    scopus 로고
    • Multiplicity of positive solutions for a nonlinear fourth-order equation
    • Dunninger, DR. 2001. Multiplicity of positive solutions for a nonlinear fourth-order equation. Annales Polonici Mathematici, LXXVII.2: 161–168.
    • (2001) Annales Polonici Mathematici , vol.77 , pp. 161-168
    • Dunninger, D.R.1
  • 6
    • 0242563934 scopus 로고    scopus 로고
    • Positive solutions of a boundary value problem for fourth-order nonlinear differential equations
    • Graef, JR, and Bo, Yang. 2000. Positive solutions of a boundary value problem for fourth-order nonlinear differential equations. Proceedings of Dynamic Systems and Applications, 3: 217–224.
    • (2000) Proceedings of Dynamic Systems and Applications , vol.3 , pp. 217-224
    • Graef, J.R.1    Bo, Y.2
  • 7
    • 84950192244 scopus 로고
    • Existence and uniqueness theorems for the bending of an elastic beam equation
    • Gupta, CP. 1988. Existence and uniqueness theorems for the bending of an elastic beam equation. Applicable Analysis, 26 (4): 289–304.
    • (1988) Applicable Analysis , vol.26 , Issue.4 , pp. 289-304
    • Gupta, C.P.1
  • 8
    • 0034230421 scopus 로고    scopus 로고
    • Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs
    • Jiang, D. 2000. Multiple positive solutions to singular boundary value problems for superlinear higher-order ODEs. Computers and Mathematics with Applications, 40: 249–259.
    • (2000) Computers and Mathematics with Applications , vol.40 , pp. 249-259
    • Jiang, D.1
  • 9
    • 1942476075 scopus 로고    scopus 로고
    • Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems
    • Korman, P. 2004. Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems. Proceedings of the Royal Society of Edinburgh. Section A, 134 (1): 179–190.
    • (2004) Proceedings of the Royal Society of Edinburgh. Section A , vol.134 , Issue.1 , pp. 179-190
    • Korman, P.1
  • 10
    • 0038789059 scopus 로고    scopus 로고
    • Positive solutions of fourth-order periodic boundary value problems
    • Li, Y. 2003. Positive solutions of fourth-order periodic boundary value problems. Nonlinear Analysis, 54 (6): 1069–1078.
    • (2003) Nonlinear Analysis , vol.54 , Issue.6 , pp. 1069-1078
    • Li, Y.1
  • 11
    • 11244335437 scopus 로고    scopus 로고
    • Existence of positive solutions for a nonlinear fourth-order boundary value problem
    • Ma, R. 2003. Existence of positive solutions for a nonlinear fourth-order boundary value problem. Annales Polonici Mathematici, 81 (1): 79–84.
    • (2003) Annales Polonici Mathematici , vol.81 , Issue.1 , pp. 79-84
    • Ma, R.1
  • 12
    • 84952401788 scopus 로고
    • On the existence of positive solutions of fourth-order ordinary differential equations
    • Ma, R, and Wang, H. 1995. On the existence of positive solutions of fourth-order ordinary differential equations. Applicable Analysis, 59 (1–4): 225–231.
    • (1995) Applicable Analysis , vol.59 , Issue.1-4 , pp. 225-231
    • Ma, R.1    Wang, H.2
  • 13
    • 33645162808 scopus 로고    scopus 로고
    • Positive solutions of a fourth-order two-point boundary value problem. (Chinese)
    • Ma, R, and Wu, H. 2002. Positive solutions of a fourth-order two-point boundary value problem. (Chinese). Acta Mathematica Scientia. Series A, 22 (2): 244–249.
    • (2002) Acta Mathematica Scientia. Series A , vol.22 , Issue.2 , pp. 244-249
    • Ma, R.1    Wu, H.2
  • 15
    • 7044261045 scopus 로고    scopus 로고
    • Infinitely many solutions of superlinear fourth-order boundary value problems
    • Rynne, B. 2002. Infinitely many solutions of superlinear fourth-order boundary value problems. Topological Methods in Nonlinear Analysis, 19 (2): 303–312.
    • (2002) Topological Methods in Nonlinear Analysis , vol.19 , Issue.2 , pp. 303-312
    • Rynne, B.1
  • 16
    • 0036687745 scopus 로고    scopus 로고
    • Positive solutions of fourth-order superlinear singular boundary value problems
    • Shi, G, and Chen, S. 2002. Positive solutions of fourth-order superlinear singular boundary value problems. Bulletin of the Australian Mathematical Society, 66 (1): 95–104.
    • (2002) Bulletin of the Australian Mathematical Society , vol.66 , Issue.1 , pp. 95-104
    • Shi, G.1    Chen, S.2
  • 17
    • 49249143125 scopus 로고
    • A nonlinear singular boundary value problem
    • Taliaferro, SD. 1979. A nonlinear singular boundary value problem. Nonlinear Analysis TMA, 3 (6): 897–904.
    • (1979) Nonlinear Analysis TMA , vol.3 , Issue.6 , pp. 897-904
    • Taliaferro, S.D.1
  • 18
    • 0000270264 scopus 로고    scopus 로고
    • Positive solutions of singular boundary value problems of fourth-order ordinary differential equations (Chinese)
    • Wei, Z. 1999. Positive solutions of singular boundary value problems of fourth-order ordinary differential equations (Chinese). Acta Mathematica Sinica, 42 (4): 715–722.
    • (1999) Acta Mathematica Sinica , vol.42 , Issue.4 , pp. 715-722
    • Wei, Z.1
  • 19
    • 1242285075 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems of fourth-order elastic beam equations
    • Yao, Q. 2004. Positive solutions for eigenvalue problems of fourth-order elastic beam equations. Applied Mathematics Letters, 17 (2): 237–243.
    • (2004) Applied Mathematics Letters , vol.17 , Issue.2 , pp. 237-243
    • Yao, Q.1
  • 20
    • 0000934319 scopus 로고
    • Positive solutions of singular sublinear Emden–Fowler boundary value problems
    • Zhang, Y. 1994. Positive solutions of singular sublinear Emden–Fowler boundary value problems. Journal of Mathematical Analysis and Application, 185 (1): 215–222.
    • (1994) Journal of Mathematical Analysis and Application , vol.185 , Issue.1 , pp. 215-222
    • Zhang, Y.1
  • 21
    • 21844496087 scopus 로고
    • Positive solutions of singular sublinear Dirichlet boundary value problems
    • Zhang, Y. 1995. Positive solutions of singular sublinear Dirichlet boundary value problems. SIAM Journal on Mathematical Analysis, 26 (2): 329–339.
    • (1995) SIAM Journal on Mathematical Analysis , vol.26 , Issue.2 , pp. 329-339
    • Zhang, Y.1
  • 22
    • 0036773372 scopus 로고    scopus 로고
    • The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
    • Zhang, Z, and Wang, J. 2002. The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems. Journal of Computational and Applied Mathematics, 147 (1): 41–52.
    • (2002) Journal of Computational and Applied Mathematics , vol.147 , Issue.1 , pp. 41-52
    • Zhang, Z.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.