메뉴 건너뛰기




Volumn 47, Issue 4-5, 2004, Pages 611-620

Positive solutions of BVPs for third-order nonlinear difference systems

Author keywords

Cone; Discrete system; Fixed point; Nonlinear alternative; Positive solution

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD; GEOMETRY; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING;

EID: 1842865720     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90049-1     Document Type: Article
Times cited : (3)

References (25)
  • 3
    • 0033177638 scopus 로고    scopus 로고
    • Eigenvalues and eigenfunctions of discrete conjugate boundary value problems
    • R.P. Agarwal, M. Bohner and P.J.Y. Wong, Eigenvalues and eigenfunctions of discrete conjugate boundary value problems, Computers Math. Applic. 38 (3/4), 159-183, (1999).
    • (1999) Computers Math. Applic. , vol.38 , Issue.3-4 , pp. 159-183
    • Agarwal, R.P.1    Bohner, M.2    Wong, P.J.Y.3
  • 4
    • 0032205022 scopus 로고    scopus 로고
    • Positive solutions and nonlinear eigenvalue problems for third-order difference equations
    • R.P. Agarwal and J. Henderson, Positive solutions and nonlinear eigenvalue problems for third-order difference equations, Computers Math. Applic. 36 (10-12), 347-355, (1998).
    • (1998) Computers Math. Applic. , vol.36 , Issue.10-12 , pp. 347-355
    • Agarwal, R.P.1    Henderson, J.2
  • 5
    • 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, Appl. Math. Lett. 10 (5), 67-74, (1997).
    • (1997) Appl. Math. Lett , vol.10 , Issue.5 , pp. 67-74
    • Agarwal, R.P.1    Wong, F.H.2
  • 6
    • 0031998790 scopus 로고    scopus 로고
    • Existence of positive solutions for nonpositive higher order BVP's
    • R.P. Agarwal and F.H. Wong, Existence of positive solutions for nonpositive higher order BVP's, J. Comput. Appl. Math. 88, 3-14, (1998).
    • (1998) J. Comput. Appl. Math. , vol.88 , pp. 3-14
    • Agarwal, R.P.1    Wong, F.H.2
  • 7
    • 0001109072 scopus 로고    scopus 로고
    • Triple positive solutions and dependence on high order derivatives
    • J.M. Davis, P.W. Eloe and J. Henderson, Triple positive solutions and dependence on high order derivatives, J. Math. Anal. Appl. 237, 710-720, (1999).
    • (1999) J. Math. Anal. Appl. , vol.237 , pp. 710-720
    • Davis, J.M.1    Eloe, P.W.2    Henderson, J.3
  • 8
    • 0032205820 scopus 로고    scopus 로고
    • A generalization of concavity for finite differences
    • P.W. Eloe, A generalization of concavity for finite differences, Computers Math. Applic. 35 (10-12), 109-113, (1998).
    • (1998) Computers Math. Applic. , vol.35 , Issue.10-12 , pp. 109-113
    • Eloe, P.W.1
  • 9
    • 0035426515 scopus 로고    scopus 로고
    • Positive solutions of nonlinear functional difference equations
    • P.W. Eloe, Y. Raffoul, D.T. Reid and K.C. Yin, Positive solutions of nonlinear functional difference equations, Computers Math. Applic. 42 (3-5), 639-646, (2001).
    • (2001) Computers Math. Applic. , vol.42 , Issue.3-5 , pp. 639-646
    • Eloe, P.W.1    Raffoul, Y.2    Reid, D.T.3    Yin, K.C.4
  • 10
    • 84954810567 scopus 로고
    • Two positive solutions of a boundary value problem for difference equations
    • F. Merdivenci, Two positive solutions of a boundary value problem for difference equations, J. Difference Eqns. Appl. 1, 263-270, (1995).
    • (1995) J. Difference Eqns. Appl. , vol.1 , pp. 263-270
    • Merdivenci, F.1
  • 11
    • 0001771783 scopus 로고
    • Green's matrices and positive solutions of a discrete boundary value problem
    • F. Merdivenci, Green's matrices and positive solutions of a discrete boundary value problem, PanAmerican Math. J. 5, 25-42, (1995).
    • (1995) PanAmerican Math. J. , vol.5 , pp. 25-42
    • Merdivenci, F.1
  • 13
    • 84968495088 scopus 로고
    • Difference equations: Disconjugacy, principal solutions, green's functions, complete monotonicity
    • P. Hartman, Difference equations: Disconjugacy, principal solutions, Green's functions, complete monotonicity, Trans. Amer. Math. Soc. 246, 1-30, (1978).
    • (1978) Trans. Amer. Math. Soc. , vol.246 , pp. 1-30
    • Hartman, P.1
  • 14
    • 0038777991 scopus 로고    scopus 로고
    • Spectral theory of second order vector difference equations
    • Y.M. Shi and S.Z. Chen, Spectral theory of second order vector difference equations, J. Math. Anal. Appl. 293, 195-212, (1999).
    • (1999) J. Math. Anal. Appl. , vol.239 , pp. 195-212
    • Shi, Y.M.1    Chen, S.Z.2
  • 15
    • 0034247297 scopus 로고    scopus 로고
    • Triple positive solutions of conjugate boundary value problems
    • P.J.Y. Wong, Triple positive solutions of conjugate boundary value problems, Computers Math. Applic. 40 (4/5), 537-557, (2000).
    • (2000) Computers Math. Applic. , vol.40 , Issue.4-5 , pp. 537-557
    • Wong, P.J.Y.1
  • 16
    • 0002814781 scopus 로고    scopus 로고
    • Positive solutions of difference equations with two-point right focal boundary conditions
    • P.J.Y. Wong, Positive solutions of difference equations with two-point right focal boundary conditions, J. Math. Anal. Appl. 224, 34-58, (1998).
    • (1998) J. Math. Anal. Appl. , vol.224 , pp. 34-58
    • Wong, P.J.Y.1
  • 17
    • 23044528095 scopus 로고    scopus 로고
    • On multiple solutions of a system of m discrete boundary value problems
    • J. Henderson and P.J.Y. Wong, On multiple solutions of a system of m discrete boundary value problems, ZAMM Z. Angew. Math. Mech., 81 (4), 273-279, (2001).
    • (2001) ZAMM Z. Angew. Math. Mech. , vol.81 , Issue.4 , pp. 273-279
    • Henderson, J.1    Wong, P.J.Y.2
  • 18
    • 0347540946 scopus 로고    scopus 로고
    • Multiple positive solutions of BVPs for third-order discrete difference systems
    • W.T. Li and J.P. Sun, Multiple positive solutions of BVPs for third-order discrete difference systems, Appl. Math. Comput. 149 (2), 389-398, (2004).
    • (2004) Appl. Math. Comput. , vol.149 , Issue.2 , pp. 389-398
    • Li, W.T.1    Sun, J.P.2
  • 19
    • 0037507465 scopus 로고    scopus 로고
    • Multiple positive solutions of a discrete difference system
    • J.P. Sun and W.T. Li, Multiple positive solutions of a discrete difference system, Appl. Math. Comput. 143 (2-3), 213-221, (2003).
    • (2003) Appl. Math. Comput. , vol.143 , Issue.2-3 , pp. 213-221
    • Sun, J.P.1    Li, W.T.2
  • 20
    • 0033136107 scopus 로고    scopus 로고
    • Solutions of constant signs of system of Sturm-Liouville boundary value problems
    • P.J.Y. Wong, Solutions of constant signs of system of Sturm-Liouville boundary value problems, Mathl. Comput. Modelling 29 (9), 27-38, (1999).
    • (1999) Mathl. Comput. Modelling , vol.29 , Issue.9 , pp. 27-38
    • Wong, P.J.Y.1
  • 21
    • 23044517797 scopus 로고    scopus 로고
    • Multiple solutions for a system of (n, p) boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, Multiple solutions for a system of (n, p) boundary value problems, Z. Anal. Anwendungen 19 (2), 511-528, (2000).
    • (2000) Z. Anal. Anwendungen , vol.19 , Issue.2 , pp. 511-528
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 22
    • 0035426336 scopus 로고    scopus 로고
    • Further results on fixed-sign solutions for a system of higher-order difference equations
    • P.J.Y. Wong and R.P. Agarwal, Further results on fixed-sign solutions for a system of higher-order difference equations, Computers Math. Applic. 42 (3-5), 497-514, (2001).
    • (2001) Computers Math. Applic. , vol.42 , Issue.3-5 , pp. 497-514
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 23
    • 0036681211 scopus 로고    scopus 로고
    • Positive solutions of boundary value problems for third-order functional difference equations
    • L.J. Kong, Q.K. Kong and B.G. Zhang, Positive solutions of boundary value problems for third-order functional difference equations, Computers Math. Applic. 44 (3/4), 481-489, (2002).
    • (2002) Computers Math. Applic. , vol.44 , Issue.3-4 , pp. 481-489
    • Kong, L.J.1    Kong, Q.K.2    Zhang, B.G.3
  • 24
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • R.W. Leggett and L.R. Williams, Multiple positive fixed points of nonlinear operators on ordered Banach spaces, Indiana University Math. J. 28, 673-688, (1979).
    • (1979) Indiana University Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.