메뉴 건너뛰기




Volumn 10, Issue 5, 1997, Pages 67-74

Existence of positive solutions for higher order difference equations

Author keywords

Cone; Fixed point; Higher order discrete boundary value problems; Operator equation; Positive solution

Indexed keywords


EID: 0004386365     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00085-2     Document Type: Article
Times cited : (25)

References (26)
  • 2
    • 0001091334 scopus 로고
    • Singular boundary value problems for difference equations
    • J. Henderson, Singular boundary value problems for difference equations, Dynamic Systems and Applications 1, 271-282 (1992).
    • (1992) Dynamic Systems and Applications , vol.1 , pp. 271-282
    • Henderson, J.1
  • 3
    • 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, 277-287 (1997).
    • (1997) Nonlinear Analysis , vol.28 , pp. 277-287
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 5
    • 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
  • 6
    • 0001483956 scopus 로고
    • Stabilization of solutions of a degenerate nonlinear diffusion problem
    • D. Aronson, M.G. Crandall and L.A. Peletier, Stabilization of solutions of a degenerate nonlinear diffusion problem, Nonlinear Analysis 6, 1001-1022 (1982).
    • (1982) Nonlinear Analysis , vol.6 , pp. 1001-1022
    • Aronson, D.1    Crandall, M.G.2    Peletier, L.A.3
  • 8
    • 0001591206 scopus 로고
    • Semilinear elliptic problems in annular domains
    • C. Bandle and M.K. Kwong, Semilinear elliptic problems in annular domains, J. Appl. Math. Phys. 40, 245-257 (1989).
    • (1989) J. Appl. Math. Phys. , vol.40 , pp. 245-257
    • Bandle, C.1    Kwong, M.K.2
  • 9
    • 0000564824 scopus 로고
    • An unexpected stability result of the near-extinction diffusion flame for non-unity Lewis numbers
    • Y.S. Choi and G.S. Ludford, An unexpected stability result of the near-extinction diffusion flame for non-unity Lewis numbers, Q. J. Mech. Appl. Math. 42 (Part 1), 143-158 (1989).
    • (1989) Q. J. Mech. Appl. Math. , vol.42 , Issue.1 PART , pp. 143-158
    • Choi, Y.S.1    Ludford, G.S.2
  • 10
    • 0001926109 scopus 로고
    • Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory
    • D.S. Cohen, Multiple stable solutions of nonlinear boundary value problems arising in chemical reactor theory, SIAM J. Appl. Math. 20, 1-13 (1971).
    • (1971) SIAM J. Appl. Math. , vol.20 , pp. 1-13
    • Cohen, D.S.1
  • 11
    • 0000742964 scopus 로고
    • Existence and uniqueness results for semilinear Dirichlet problems in annuli
    • C.V. Coffman and M. Marcus, Existence and uniqueness results for semilinear Dirichlet problems in annuli, Arch. Rational Mech. Anal. 108, 293-307 (1989).
    • (1989) Arch. Rational Mech. Anal. , vol.108 , pp. 293-307
    • Coffman, C.V.1    Marcus, M.2
  • 12
    • 0001069004 scopus 로고
    • On the structure of solutions of an equation in catalysis theory when a parameter is large
    • E.N. Dancer, On the structure of solutions of an equation in catalysis theory when a parameter is large, J. Differential Equations 37, 404-437 (1980).
    • (1980) J. Differential Equations , vol.37 , pp. 404-437
    • Dancer, E.N.1
  • 13
    • 84972541946 scopus 로고
    • Existence of positive solutions for semilinear elliptic equations in annular domain
    • H. Dang and K. Schmitt, Existence of positive solutions for semilinear elliptic equations in annular domain, J. Diff. Integ. Equs. 7, 747-758 (1994).
    • (1994) J. Diff. Integ. Equs. , vol.7 , pp. 747-758
    • Dang, H.1    Schmitt, K.2
  • 14
    • 0003110611 scopus 로고
    • Existence of positive radial solutions for semilinear elliptic equations in the annulus
    • X. Garaizar, Existence of positive radial solutions for semilinear elliptic equations in the annulus, J. Differential Equations 70, 69-72 (1987).
    • (1987) J. Differential Equations , vol.70 , pp. 69-72
    • Garaizar, X.1
  • 15
    • 0009445892 scopus 로고
    • Positive solutions of a problem of Emden-Fowler type with a free boundary
    • G. Iffland, Positive solutions of a problem of Emden-Fowler type with a free boundary, SIAM J. Math. Anal. 18, 283-292 (1987).
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 283-292
    • Iffland, G.1
  • 16
    • 45949128628 scopus 로고
    • Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations
    • J. Santanilla, Nonnegative solutions to boundary value problems for nonlinear first and second order ordinary differential equations, J. Math. Anal. Appl. 126, 397-408 (1987).
    • (1987) J. Math. Anal. Appl. , vol.126 , pp. 397-408
    • Santanilla, J.1
  • 17
    • 0002746770 scopus 로고
    • On the existence of positive solutions for semilinear elliptic equations in the annulus
    • H. Wang, On the existence of positive solutions for semilinear elliptic equations in the annulus, J. Differential Equations 109, 1-7 (1994).
    • (1994) J. Differential Equations , vol.109 , pp. 1-7
    • Wang, H.1
  • 18
  • 19
    • 85033103153 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear second order differential systems
    • to appear
    • R.P. Agarwal, F.H. Wong and W.C. Lian, Existence of positive solutions of nonlinear second order differential systems, Applicable Analysis (to appear).
    • Applicable Analysis
    • Agarwal, R.P.1    Wong, F.H.2    Lian, W.C.3
  • 20
    • 0000737204 scopus 로고    scopus 로고
    • Eigenvalues of boundary value problems for higher order differential equations
    • P.J.Y. Wong and R.P. Agarwal, Eigenvalues of boundary value problems for higher order differential equations, Mathematical Problems in Engineering 2, 401-434 (1996).
    • (1996) Mathematical Problems in Engineering , vol.2 , pp. 401-434
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 21
    • 0001479413 scopus 로고
    • Positive solutions for singular higher order nonlinear equations
    • C.J. Chyan and J. Henderson, Positive solutions for singular higher order nonlinear equations, Diff. Eqs. Dyn. Sys. 2, 153-160 (1994).
    • (1994) Diff. Eqs. Dyn. Sys. , vol.2 , pp. 153-160
    • Chyan, C.J.1    Henderson, J.2
  • 22
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • L.H. Erbe, S. Hu and H. Wang, Multiple positive solutions of some boundary value problems, J. Math. Anal. Appl. 184, 640-648 (1994).
    • (1994) J. Math. Anal. Appl. , vol.184 , pp. 640-648
    • Erbe, L.H.1    Hu, S.2    Wang, H.3
  • 23
    • 84966234102 scopus 로고
    • On the existence of positive solutions of ordinary differential equations
    • L.H. Erbe and H. Wang, On the existence of positive solutions of ordinary differential equations, Proc. Amer. Math. Soc. 120, 743-748 (1994).
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 743-748
    • Erbe, L.H.1    Wang, H.2
  • 24
    • 0000138479 scopus 로고
    • Existence of positive solutions of singular boundary value problems
    • F.H. Wong, Existence of positive solutions of singular boundary value problems, Nonlinear Analysis 21, 397-406 (1993).
    • (1993) Nonlinear Analysis , vol.21 , pp. 397-406
    • Wong, F.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.