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Volumn 49, Issue 1, 2005, Pages 131-145

Existence of positive solutions to second-order time scale systems

Author keywords

Cone; Fixed point; Measure chain; Positive solution

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIATION (CALCULUS); FUNCTION EVALUATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; THEOREM PROVING;

EID: 17944372756     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.01.011     Document Type: Article
Times cited : (21)

References (31)
  • 1
    • 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 1990 18 56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 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 1999 3 22
    • (1999) Results Math. , vol.35 , pp. 3-22
    • Agarwal, R.P.1    Bohner, M.2
  • 5
    • 0010709267 scopus 로고    scopus 로고
    • A coupled system of difference equations
    • R.P. Agarwal, and D. O'Regan A coupled system of difference equations Appl. Math. Comput. 114 2000 39 49
    • (2000) Appl. Math. Comput. , vol.114 , pp. 39-49
    • Agarwal, R.P.1    O'Regan, D.2
  • 6
    • 0001874327 scopus 로고    scopus 로고
    • Multiple positive solutions of a discrete second order conjugate problem
    • R.I. Avery, and A.C. Peterson Multiple positive solutions of a discrete second order conjugate problem PanAmerician Math. J. 8 1998 1 12
    • (1998) PanAmerician Math. J. , vol.8 , pp. 1-12
    • Avery, R.I.1    Peterson, A.C.2
  • 7
    • 0035426671 scopus 로고    scopus 로고
    • Three positive fixed points of nonlinear operators on ordered Banach spaces
    • R.I. Avery, and A.C. Peterson Three positive fixed points of nonlinear operators on ordered Banach spaces Computers Math. Applic. 42 3-5 2001 313 322
    • (2001) Computers Math. Applic. , vol.42 , Issue.35 , pp. 313-322
    • Avery, R.I.1    Peterson, A.C.2
  • 8
    • 0035426481 scopus 로고    scopus 로고
    • Multiple positive solutions to a third-order discrete focal boundary value problem
    • D. Anderson, and R.I. Avery Multiple positive solutions to a third-order discrete focal boundary value problem Computers Math. Applic. 42 3-5 2001 333 340
    • (2001) Computers Math. Applic. , vol.42 , Issue.35 , pp. 333-340
    • Anderson, D.1    Avery, R.I.2
  • 9
    • 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 1994 1 7
    • (1994) J. Differential Equations , vol.109 , pp. 1-7
    • Wang, H.1
  • 10
    • 0035888423 scopus 로고    scopus 로고
    • Existence theorems for a system of difference equations with (n,p)-type conditions
    • P.J.Y. Wong, and R.P. Agarwal Existence theorems for a system of difference equations with (n,p)-type conditions Appl. Math. Comput. 123 2001 389 407
    • (2001) Appl. Math. Comput. , vol.123 , pp. 389-407
    • Wong, P.J.Y.1    Agarwal, R.P.2
  • 11
    • 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 1998 19 35
    • (1998) Computers Math. Applic. , vol.36 , Issue.9 , pp. 19-35
    • Wong, P.J.Y.1
  • 12
    • 0034247297 scopus 로고    scopus 로고
    • Triple positive solutions of conjugate boundary value problems II
    • P.J.Y. Wong Triple positive solutions of conjugate boundary value problems II Computers Math. Applic. 40 4/5 2000 537 557
    • (2000) Computers Math. Applic. , vol.40 , Issue.45 , pp. 537-557
    • Wong, P.J.Y.1
  • 13
    • 0036537770 scopus 로고    scopus 로고
    • Existence of three positive solutions to a second-order boundary value problem on a measure chain
    • R.I. Avery, and D.R. Anderson Existence of three positive solutions to a second-order boundary value problem on a measure chain J. Comput. Appl. Math. 141 2002 65 73
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 65-73
    • Avery, R.I.1    Anderson, D.R.2
  • 14
    • 0036538018 scopus 로고    scopus 로고
    • Twin solutions of boundary value problems for differential equations on measure chains
    • C.J. Chyan, and J. Henderson Twin solutions of boundary value problems for differential equations on measure chains J. Comput. Appl. Math. 141 2002 123 131
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 123-131
    • Chyan, C.J.1    Henderson, J.2
  • 15
    • 0000048891 scopus 로고    scopus 로고
    • th-order Sturm-Liouville boundary value problems on a measure chain
    • th-order Sturm-Liouville boundary value problems on a measure chain J. Difference Equations and Appl. 6 2/3 2000 417 429
    • (2000) J. Difference Equations and Appl. , vol.6 , Issue.23 , pp. 417-429
    • Henderson, J.1
  • 16
    • 0000990742 scopus 로고    scopus 로고
    • Strum-Liouville eigenvalue problems on time scales
    • R.P. Agarwal, M. Bohner, and P.J. Wong Strum-Liouville eigenvalue problems on time scales Appl. Math. Comput. 99 1999 153 166
    • (1999) Appl. Math. Comput. , vol.99 , pp. 153-166
    • Agarwal, R.P.1    Bohner, M.2    Wong, P.J.3
  • 17
    • 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 Nonlinear Anal. 33 1998 675 692
    • (1998) Nonlinear Anal. , vol.33 , pp. 675-692
    • Agarwal, R.P.1    Bohner, M.2
  • 18
    • 0039248253 scopus 로고    scopus 로고
    • Triple solutions to boundary value problems on time scales
    • R.P. Agarwal, and D. O'Regan Triple solutions to boundary value problems on time scales Appl. Math. Lett. 13 4 2000 7 11
    • (2000) Appl. Math. Lett. , vol.13 , Issue.4 , pp. 7-11
    • Agarwal, R.P.1    O'Regan, D.2
  • 19
    • 0035313847 scopus 로고    scopus 로고
    • Nonlinear boundary value problems on time scales
    • R.P. Agarwal, and D. O'Regan Nonlinear boundary value problems on time scales Nonlinear Anal. 44 2001 527 535
    • (2001) Nonlinear Anal. , vol.44 , pp. 527-535
    • Agarwal, R.P.1    O'Regan, D.2
  • 20
    • 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 2000 547 559
    • (2000) J. Math. Anal. Appl. , vol.245 , pp. 547-559
    • Chyan, C.J.1    Henderson, J.2
  • 21
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear differential equation on a measure chain
    • L. Erbe, and A. Peterson Positive solutions for a nonlinear differential equation on a measure chain Mathl. Comput. Modelling 32 5/6 2000 571 585
    • (2000) Mathl. Comput. Modelling , vol.32 , Issue.56 , pp. 571-585
    • Erbe, L.1    Peterson, A.2
  • 22
    • 0033883340 scopus 로고    scopus 로고
    • Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain
    • L.H. Erbe, R. Mathsen, and A. Peterson Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain J. Comput. Appl. Math. 113 2000 365 380
    • (2000) J. Comput. Appl. Math. , vol.113 , pp. 365-380
    • Erbe, L.H.1    Mathsen, R.2    Peterson, A.3
  • 23
    • 0036833032 scopus 로고    scopus 로고
    • Positive solutions for eigenvalue problems on a measure chain
    • C.H. Hong, and C.C. Yeh Positive solutions for eigenvalue problems on a measure chain Nonlinear Anal. 51 2002 499 507
    • (2002) Nonlinear Anal. , vol.51 , pp. 499-507
    • Hong, C.H.1    Yeh, C.C.2
  • 24
    • 0034805341 scopus 로고    scopus 로고
    • Existence of solutions for nonlinear BVPs of second-order differential equations on a measure chains
    • W.C. Lian, C.C. Chou, C.T. Liu, and F.H. Wong Existence of solutions for nonlinear BVPs of second-order differential equations on a measure chains Mathl. Comput. Modelling 34 7/8 2001 821 837
    • (2001) Mathl. Comput. Modelling , vol.34 , Issue.78 , pp. 821-837
    • Lian, W.C.1    Chou, C.C.2    Liu, C.T.3    Wong, F.H.4
  • 25
    • 0345581075 scopus 로고    scopus 로고
    • Multiple positive solutions for nonlinear dynamic systems on a measure chain
    • W.T. Li, and H.R. Sun Multiple positive solutions for nonlinear dynamic systems on a measure chain J. Comput. Appl. Math. 162 2004 421 430
    • (2004) J. Comput. Appl. Math. , vol.162 , pp. 421-430
    • Li, W.T.1    Sun, H.R.2
  • 28
    • 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 1979 673 688
    • (1979) Indiana University Math. J. , vol.28 , pp. 673-688
    • Leggett, R.W.1    Williams, L.R.2
  • 30
    • 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 1999 121 137
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.6 , pp. 121-137
    • Erbe, L.1    Peterson, A.2
  • 31
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach space
    • H. Amann Fixed point equations and nonlinear eigenvalue problems in ordered Banach space SIAM Review 18 1976 620 709
    • (1976) SIAM Review , vol.18 , pp. 620-709
    • Amann, H.1


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