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Volumn 45, Issue 6-9, 2003, Pages 1101-1111

Existence of solutions for third-order boundary value problems on a time scale

Author keywords

Boundary value problem; Nonlinear; Time scale

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; SET THEORY; THEOREM PROVING;

EID: 0038070293     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)00091-9     Document Type: Article
Times cited : (13)

References (27)
  • 1
    • 0032166412 scopus 로고    scopus 로고
    • Quadratic functionals for second order matrix equations on time scales
    • R.P. Agarwal and M. Bohner, Quadratic functionals for second order matrix equations on time scales, Nonlin. Anal. 33, 675-692, (1998).
    • (1998) Nonlin. Anal. , vol.33 , pp. 675-692
    • Agarwal, R.P.1    Bohner, M.2
  • 2
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • R.P. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications, Results Math. 35, 3-22, (1999).
    • (1999) Results Math. , vol.35 , pp. 3-22
    • Agarwal, R.P.1    Bohner, M.2
  • 4
    • 84951604495 scopus 로고
    • Analysis on measure chains-A unified approach to continuous and discrete calculus
    • S. Hilger, Analysis on measure chains-A unified approach to continuous and discrete calculus, Results Math. 18, 18-56, (1990).
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 5
    • 22644449268 scopus 로고    scopus 로고
    • Positive solutions and eigenvalues of conjugate boundary value problems
    • R.P. Agarwal, M. Bohner and P.J.Y. Wong, Positive solutions and eigenvalues of conjugate boundary value problems, Proc. Edinburgh Math. Soc. 42, 349-374, (1999).
    • (1999) Proc. Edinburgh Math. Soc. , vol.42 , pp. 349-374
    • Agarwal, R.P.1    Bohner, M.2    Wong, P.J.Y.3
  • 6
    • 0003078471 scopus 로고    scopus 로고
    • Boundary value problems for a differential equation on a measure chain
    • E. Akin, Boundary value problems for a differential equation on a measure chain, Panamer. Math. J. 10, 17-30, (2000).
    • (2000) Panamer. Math. J. , vol.10 , pp. 17-30
    • Akin, E.1
  • 7
    • 0034658763 scopus 로고    scopus 로고
    • Higher order dynamic equations: Wronskians, disconjugacy and interpolating families of functions
    • M. Bohner and P.W. Eloe, Higher order dynamic equations: Wronskians, disconjugacy and interpolating families of functions, J. Math. Anal. Appl. 246, 639-656, (2000)
    • (2000) J. Math. Anal. Appl. , vol.246 , pp. 639-656
    • Bohner, M.1    Eloe, P.W.2
  • 9
    • 0034656481 scopus 로고    scopus 로고
    • Eigenvalue problems for nonlinear differential equations on a measure chain
    • C.J. Chyan and J. Henderson, Eigenvalue problems for nonlinear differential equations on a measure chain, J. Math. Anal. Appl. 245, 547-559, (2000).
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 547-559
    • Chyan, C.J.1    Henderson, J.2
  • 10
    • 0002375045 scopus 로고    scopus 로고
    • Eigenvalue comparisons for nonlinear differential equations on a measure chain
    • C.J. Chyan, J.M. Davis, J. Henderson and W.K.C. Yin, Eigenvalue comparisons for nonlinear differential equations on a measure chain. Elec. J. Diff. Egs. 1998 (35), 1-7, (1998).
    • (1998) Elec. J. Diff. Egs. , vol.1998 , Issue.35 , pp. 1-7
    • Chyan, C.J.1    Davis, J.M.2    Henderson, J.3    Yin, W.K.C.4
  • 11
    • 0000673366 scopus 로고
    • Sturmian theory on measure chains
    • L. Erbe and S. Hilger, Sturmian theory on measure chains, Diff. Eqs. Dynam. Systems 1, 223-244 (1993).
    • (1993) Diff. Eqs. Dynam. Systems , vol.1 , pp. 223-244
    • Erbe, L.1    Hilger, S.2
  • 12
    • 0346881057 scopus 로고    scopus 로고
    • Green's functions and comparison theorems for differential equations on measure chains
    • L. Erbe and A. Peterson, Green's functions and comparison theorems for differential equations on measure chains, Dynam. Contin. Discrete Impuls. Systems 6, 121-137, (1999).
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.6 , pp. 121-137
    • Erbe, L.1    Peterson, A.2
  • 13
    • 0002297188 scopus 로고    scopus 로고
    • Eigenvalue conditions and positive solutions
    • L. Erbe and A. Peterson, Eigenvalue conditions and positive solutions, J. Differ. Equations Appl. 6, 165-191, (2000).
    • (2000) J. Differ. Equations Appl. , vol.6 , pp. 165-191
    • Erbe, L.1    Peterson, A.2
  • 14
    • 0000048891 scopus 로고    scopus 로고
    • Multiple solutions for 2mth order Sturm-Liouville boundary value problems on a measure chain
    • J. Henderson, Multiple solutions for 2mth order Sturm-Liouville boundary value problems on a measure chain, J. Differ. Equations Appl. 6, 417-429, (2000).
    • (2000) J. Differ. Equations Appl. , vol.6 , pp. 417-429
    • Henderson, J.1
  • 15
    • 0038011358 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions of three-point boundary value problems on time scales by solution matching
    • (to appear)
    • J. Henderson and K.R. Prasad, Existence and uniqueness of solutions of three-point boundary value problems on time scales by solution matching, Nonlin. Studies (to appear).
    • Nonlin. Studies
    • Henderson, J.1    Prasad, K.R.2
  • 16
    • 84967790441 scopus 로고
    • On n-parameter families and interpolation problems for nonlinear ordinary differential equations
    • P. Hartman, On n-parameter families and interpolation problems for nonlinear ordinary differential equations, Trans. Amer. Math. Soc. 154, 201-226, (1971).
    • (1971) Trans. Amer. Math. Soc. , vol.154 , pp. 201-226
    • Hartman, P.1
  • 17
    • 0012724256 scopus 로고
    • Existence theorems for boundary value problems for nth order ordinary differential equations
    • G. Klaasen, Existence theorems for boundary value problems for nth order ordinary differential equations, Rock Mtn. J. Math. 3, 457-472, (1973).
    • (1973) Rock Mtn. J. Math. , vol.3 , pp. 457-472
    • Klaasen, G.1
  • 18
    • 0012731450 scopus 로고
    • Existence theorems for boundary value problems for nth-order nonlinear difference equations
    • J. Henderson, Existence theorems for boundary value problems for nth-order nonlinear difference equations, SIAM J. Math. Anal. 20, 468-478, (1989).
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 468-478
    • Henderson, J.1
  • 19
    • 0002688937 scopus 로고    scopus 로고
    • Uniqueness implies existence for fourth-order Lidstone boundary value problems
    • J.M. Davis, and J. Henderson, Uniqueness implies existence for fourth-order Lidstone boundary value problems, Panamer. Math. J. 8, 23-35, (1998).
    • (1998) Panamer. Math. J. , vol.8 , pp. 23-25
    • Davis, J.M.1    Henderson, J.2
  • 20
    • 38249026129 scopus 로고
    • Focal boundary value problems for nonlinear difference equations, I
    • J. Henderson, Focal boundary value problems for nonlinear difference equations, I, J. Math. Anal. Appl. 141, 559-567, (1989).
    • (1989) J. Math. Anal. Appl. , vol.141 , pp. 559-567
    • Henderson, J.1
  • 21
    • 38249024280 scopus 로고
    • Focal boundary value problems for nonlinear difference equations, II
    • J. Hendersson, Focal boundary value problems for nonlinear difference equations, II, J. Math. Anal. Appl. 141, 568-579 (1989).
    • (1989) J. Math. Anal. Appl. , vol.141 , pp. 568-579
    • Hendersson, J.1
  • 22
    • 0038349366 scopus 로고    scopus 로고
    • Uniqueness implies existence for second order differential equations on measure chains
    • (to appear)
    • C.J. Chyan, Uniqueness implies existence for second order differential equations on measure chains, J. Math. Anal. Appl. (to appear).
    • J. Math. Anal. Appl.
    • Chyan, C.J.1
  • 23
    • 33749545828 scopus 로고    scopus 로고
    • Compactness condition for boundary value problems
    • R.P. Agarwal, Compactness condition for boundary value problems, In Equadiff 9 Proc., Brno, (1997).
    • (1997) Equadiff 9 Proc., Brno
    • Agarwal, R.P.1
  • 24
    • 0012688745 scopus 로고
    • Uniqueness implies existence for solutions of nonlinear boundary value problems
    • K. Schrader, Uniqueness implies existence for solutions of nonlinear boundary value problems, Abstracts Amer. Math. Soc. 6, 235, (1985).
    • (1985) Abstracts Amer. Math. Soc. , vol.6 , pp. 235
    • Schrader, K.1
  • 25
    • 0012635326 scopus 로고    scopus 로고
    • A convergence theorem on a measure chain
    • Preprint
    • C.J. Chyan and W.K.C. Yin, A convergence theorem on a measure chain, Preprint.
    • Chyan, C.J.1    Yin, W.K.C.2
  • 26
    • 0012740449 scopus 로고
    • Uniqueness of solutions of boundary value problems for ordinary differential equations
    • L.K. Jackson, Uniqueness of solutions of boundary value problems for ordinary differential equations, SIAM J. Appl. Math. 24, 535-538, (1973).
    • (1973) SIAM J. Appl. Math. , vol.24 , pp. 535-538
    • Jackson, L.K.1
  • 27
    • 0001321338 scopus 로고
    • Uniqueness of solutions of right focal boundary value problems for ordinary differential equations
    • J. Henderson, Uniqueness of solutions of right focal boundary value problems for ordinary differential equations, J. Diff. Eqs. 41, 218-227, (1981).
    • (1981) J. Diff. Eqs. , vol.41 , pp. 218-227
    • Henderson, J.1


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