메뉴 건너뛰기




Volumn 1, Issue 4, 1998, Pages 551-557

Upper and lower solutions method for higher order discrete boundary value problems

Author keywords

Green's function, upper and lower solutions; Higher order discrete boundary value problem

Indexed keywords


EID: 0000908808     PISSN: 13314343     EISSN: None     Source Type: Journal    
DOI: 10.7153/mia-01-53     Document Type: Article
Times cited : (15)

References (20)
  • 1
    • 84972904996 scopus 로고
    • On boundary value problems for second order discrete systems
    • R. P. AGARWAL, On boundary value problems for second order discrete systems, Applicable Analysis 20 (1985), 1-17.
    • (1985) Applicable Analysis , vol.20 , pp. 1-17
    • Agarwal, R.P.1
  • 3
    • 0001815443 scopus 로고    scopus 로고
    • Boundary value problems for discrete equations
    • R. P. AGARWAL AND D. O'REGAN, Boundary value problems for discrete equations, Applied Mathematics Letters 10(4) (1997), 83-89.
    • (1997) Applied Mathematics Letters , vol.10 , Issue.4 , pp. 83-89
    • Agarwal, R.P.1    O'Regan, D.2
  • 4
    • 0042265414 scopus 로고    scopus 로고
    • A fixed point approach for nonlinear discrete boundary value problems
    • to appear
    • R. P. AGARWAL AND D. O'REGAN, A fixed point approach for nonlinear discrete boundary value problems, Computers Math. Applic., to appear.
    • Computers Math. Applic.
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 3242816772 scopus 로고    scopus 로고
    • Nonpositone discrete boundary value problems
    • to appear
    • R. P. AGARWAL AND D. O'REGAN, Nonpositone discrete boundary value problems, Nonlinear Analysis, to appear.
    • Nonlinear Analysis
    • Agarwal, R.P.1    O'Regan, D.2
  • 8
    • 0004386365 scopus 로고    scopus 로고
    • Existence of positive solutions for higher order difference equations
    • R. P. AGARWAL AND F. H. WONG, Existence of positive solutions for higher order difference equations, Applied Mathematics Letters 10(5) (1997), 67-74.
    • (1997) Applied Mathematics Letters , vol.10 , Issue.5 , pp. 67-74
    • Agarwal, R.P.1    Wong, F.H.2
  • 9
    • 3242842684 scopus 로고    scopus 로고
    • Existence of positive solutions for non-positive difference equations
    • to appear
    • R. P. AGARWAL AND F. H. WONG, Existence of positive solutions for non-positive difference equations, Mathl. Computer Modelling, to appear.
    • Mathl. Computer Modelling
    • Agarwal, R.P.1    Wong, F.H.2
  • 10
    • 85045783121 scopus 로고    scopus 로고
    • An application of topological transversality to non-positive higher order difference equations
    • to appear
    • R. P. AGARWAL AND F. H. WONG, An application of topological transversality to non-positive higher order difference equations, Appl. Math. Comp., to appear.
    • Appl. Math. Comp.
    • Agarwal, R.P.1    Wong, F.H.2
  • 12
    • 0016047524 scopus 로고
    • Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations
    • R. GAINES, Difference equations associated with boundary value problems for second order nonlinear ordinary differential equations, SIAM J. Numer. Anal. 11 (1974), 411-434.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 411-434
    • Gaines, R.1
  • 13
    • 0001091334 scopus 로고
    • Singular boundary value problems for difference equations
    • J. HENDERSON, Singular boundary value problems for difference equations, Dynamic Systems and Applications 1 (1992), 271-282.
    • (1992) Dynamic Systems and Applications , vol.1 , pp. 271-282
    • Henderson, J.1
  • 14
    • 0000309339 scopus 로고    scopus 로고
    • Singular boundary value problems for higher order difference equations
    • ed. V. Lakshmikantham, Walter de Gruyter and Co.
    • J. HENDERSON, Singular boundary value problems for higher order difference equations, in Proceedings of the First World Congress on Nonlinear Analysts 1992, ed. V. Lakshmikantham, Walter de Gruyter and Co., 1996, pp. 1139-1150.
    • (1996) Proceedings of the First World Congress on Nonlinear Analysts 1992 , pp. 1139-1150
    • Henderson, J.1
  • 15
    • 0001098164 scopus 로고
    • A discrete boundary value problem
    • A. LASOTA, A discrete boundary value problem, Ann. Polon. Math. 20 (1968), 183-190.
    • (1968) Ann. Polon. Math. , vol.20 , pp. 183-190
    • Lasota, A.1
  • 16
    • 38249034318 scopus 로고
    • Existence and uniqueness theorems for nonlinear difference equations
    • A. C. PETERSON, Existence and uniqueness theorems for nonlinear difference equations, J. Math. Anal. Appl. 125 (1987), 185-191.
    • (1987) J. Math. Anal. Appl. , vol.125 , pp. 185-191
    • Peterson, A.C.1
  • 17
    • 0030819350 scopus 로고    scopus 로고
    • On the existence of solutions of singular boundary value problems for higher order difference equations
    • P. J. Y. WONG AND R. P. AGARWAL, On the existence of solutions of singular boundary value problems for higher order difference equations, Nonlinear Analysis 28 (1997), 277-287.
    • (1997) Nonlinear Analysis , vol.28 , pp. 277-287
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 19
    • 84968944052 scopus 로고    scopus 로고
    • On the eigenvalues of boundary value problems for higher order difference equations
    • to appear
    • P. J. Y. WONG AND R. P. AGARWAL, On the eigenvalues of boundary value problems for higher order difference equations, Rocky Mountain J. Math., to appear.
    • Rocky Mountain J. Math.
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 20
    • 0030380041 scopus 로고    scopus 로고
    • Monotone methods for a discrete boundary value problem
    • W. ZHUANG, Y. CHENG AND S. S. CHENG, Monotone methods for a discrete boundary value problem, Computers Math. Applic. 32 (1996), 41-49..
    • (1996) Computers Math. Applic. , vol.32 , pp. 41-49
    • Zhuang, W.1    Cheng, Y.2    Cheng, S.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.