메뉴 건너뛰기




Volumn 45, Issue 6-9, 2003, Pages 1445-1460

Three symmetric solutions of lidstone boundary value problems for difference and partial difference equations

Author keywords

Boundary value problems; Difference equations; Partial difference equations; Positive symmetric solutions

Indexed keywords

DIFFERENCE EQUATIONS; GREEN'S FUNCTION; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0037732705     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)00102-0     Document Type: Article
Times cited : (25)

References (27)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Review 18, 620-709 (1976).
    • (1976) SIAM Review , vol.18 , pp. 620-709
    • Amann, H.1
  • 2
    • 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
  • 3
    • 0032003662 scopus 로고    scopus 로고
    • Three positive solutions to a discrete focal boundary value problem
    • D. Anderson, R.I. Avery and A. Peterson, Three positive solutions to a discrete focal boundary value problem. J. Comput. Appl. Math. 88, 103-118, (1998).
    • (1998) J. Comput. Appl. Math. , vol.88 , pp. 103-118
    • Anderson, D.1    Avery, R.I.2    Peterson, A.3
  • 5
    • 0000028690 scopus 로고    scopus 로고
    • Comparison of eigenvalues for discrete Lidstone boundary value problems
    • J.M. Davis, P.W. Eloe and J. Henderson, Comparison of eigenvalues for discrete Lidstone boundary value problems, Dynam. Systems Appl. 8, 381-387, (1999).
    • (1999) Dynam. Systems Appl. , vol.8 , pp. 381-387
    • Davis, J.M.1    Eloe, P.W.2    Henderson, J.3
  • 6
    • 0001109072 scopus 로고    scopus 로고
    • Triple positive solutions and dependence on higher order derivatives
    • J.M. Davis, P.W. Eloe and J. Henderson, Triple positive solutions and dependence on higher 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
  • 7
    • 0031146437 scopus 로고    scopus 로고
    • Positive solutions for (n - 1, 1) boundary value problems
    • P.W. Eloe and J. Henderson, Positive solutions for (n - 1, 1) boundary value problems, Nonlinear Analysis 28, 1669-1680, (1997).
    • (1997) Nonlinear Analysis , vol.28 , pp. 1669-1680
    • Eloe, P.W.1    Henderson, J.2
  • 8
    • 43949161468 scopus 로고
    • Multiple positive solutions of some boundary value problems
    • L. H. Erber, 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
    • Erber, L.H.1    Hu, S.2    Wang, H.3
  • 9
    • 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
  • 10
    • 0038687424 scopus 로고    scopus 로고
    • Multiple symmetric positive solutions for a second order boundary value problem
    • (to appear)
    • J. Henderson and H.B. Thompson, Multiple symmetric positive solutions for a second order boundary value problem, Proc. Amer. Math. Soc. (to appear).
    • Proc. Amer. Math. Soc.
    • Henderson, J.1    Thompson, H.B.2
  • 11
    • 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, 262-270, (1995).
    • (1995) J. Difference Eqns. Appl. , vol.1 , pp. 262-270
    • Merdivenci, F.1
  • 12
    • 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
  • 13
    • 0032205863 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. 36 (9), 19-35, (1998).
    • (1998) Computers Math. Applic. , vol.36 , Issue.9 , pp. 19-35
    • Wong, P.J.Y.1
  • 14
    • 0030258083 scopus 로고    scopus 로고
    • Double positive solutions of (n, p) boundary value problems for higher order difference equations
    • P.J.Y. Wong and R.P. Agarwal, Double positive solutions of (n, p) boundary value problems for higher order difference equations, Computers Math. Applic. 32 (8), 1-21, (1996).
    • (1996) Computers Math. Applic. , vol.32 , Issue.8 , pp. 1-21
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 15
    • 0003362228 scopus 로고    scopus 로고
    • Eigenvalue characterization for (n, p) boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, Eigenvalue characterization for (n, p) boundary value problems, J. Austral. Math. Soc. Ser. B 39, 386-407, (1998).
    • (1998) J. Austral. Math. Soc. Ser. B , vol.39 , pp. 386-407
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 16
    • 0032340626 scopus 로고    scopus 로고
    • On the eigenvalues of boundary value problems for higher order difference equations
    • P.J.Y. Wong and R.P. Agarwal, On the eigenvalues of boundary value problems for higher order difference equations, Rocky Mountain J. Math. 28, 767-791, (1998).
    • (1998) Rocky Mountain J. Math. , vol.28 , pp. 767-791
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 17
    • 0032001534 scopus 로고    scopus 로고
    • On eigenvalue intervals and twin eigenfunctions of higher order boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, On eigenvalue intervals and twin eigenfunctions of higher order boundary value problems, J. Comput. Appl. Math. 88, 15-43, (1998).
    • (1998) J. Comput. Appl. Math. , vol.88 , pp. 15-43
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 18
    • 0000675938 scopus 로고    scopus 로고
    • Existence of multiple positive solutions of discrete two-point right focal boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, Existence of multiple positive solutions of discrete two-point right focal boundary value problems, Journal of Difference Equations and Applications 5, 517-540, (1999).
    • (1999) Journal of Difference Equations and Applications , vol.5 , pp. 517-540
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 19
    • 0002974877 scopus 로고    scopus 로고
    • Eigenvalues of Lidstone boundary value problems
    • P.J.Y. Wong and R.P. Agarwal, Eigenvalues of Lidstone boundary value problems, Appl. Math. Comp. 104, 15-31, (1999).
    • (1999) Appl. Math. Comp. , vol.104 , pp. 15-31
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 20
    • 0034172422 scopus 로고    scopus 로고
    • Criteria for multiple solutions of difference and partial difference equations subject to multipoint conjugate conditions
    • P.J.Y. Wong and R.P. Agarwal, Criteria for multiple solutions of difference and partial difference equations subject to multipoint conjugate conditions, Nonlinear Analysis 40, 629-661, (2000).
    • (2000) Nonlinear Analysis , vol.40 , pp. 629-661
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 21
    • 0033825969 scopus 로고    scopus 로고
    • Multiple solutions of difference and partial difference equations with Lidstone conditions
    • P.J.Y. Wong and R.P. Agarwal, Multiple solutions of difference and partial difference equations with Lidstone conditions, Math. Comput. Modelling 32 (5/6), 699-725, (2000).
    • (2000) Math. Comput. Modelling , vol.32 , Issue.5-6 , pp. 699-725
    • Wong, P.J.Y.1    Agarwal, R.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.