메뉴 건너뛰기




Volumn 240, Issue 2, 2007, Pages 217-248

Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales

Author keywords

Cone; Fixed point; Positive solution; Time scales

Indexed keywords


EID: 34547675918     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2007.06.004     Document Type: Article
Times cited : (81)

References (40)
  • 1
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • Agarwal R.P., and Bohner M. 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
  • 2
    • 26844458292 scopus 로고    scopus 로고
    • Nonoscillation and Oscillation Theory for Functional Differential Equations
    • Marcel Dekker
    • Agarwal R.P., Bohner M., and Li W.T. Nonoscillation and Oscillation Theory for Functional Differential Equations. Pure Appl. Math. vol. 267 (2004), Marcel Dekker
    • (2004) Pure Appl. Math. , vol.267
    • Agarwal, R.P.1    Bohner, M.2    Li, W.T.3
  • 4
    • 0008294032 scopus 로고    scopus 로고
    • Triple solutions to boundary value problems on time scales
    • Agarwal R.P., and O'Regan D. Triple solutions to boundary value problems on time scales. Appl. Math. Lett. 13 (2000) 7-11
    • (2000) Appl. Math. Lett. , vol.13 , pp. 7-11
    • Agarwal, R.P.1    O'Regan, D.2
  • 7
    • 0003078471 scopus 로고    scopus 로고
    • Boundary value problems for a differential equation on a measure chain
    • Akin E. Boundary value problems for a differential equation on a measure chain. Panamer. Math. J. 10 (2000) 17-30
    • (2000) Panamer. Math. J. , vol.10 , pp. 17-30
    • Akin, E.1
  • 8
    • 0036698158 scopus 로고    scopus 로고
    • Solutions to second-order three-point problems on time scales
    • Anderson D.R. Solutions to second-order three-point problems on time scales. J. Difference Equ. Appl. 8 (2002) 673-688
    • (2002) J. Difference Equ. Appl. , vol.8 , pp. 673-688
    • Anderson, D.R.1
  • 9
    • 0036538017 scopus 로고    scopus 로고
    • On Green's functions and positive solutions for boundary value problems on time scales
    • Atici F.M., and Guseinov G.Sh. On Green's functions and positive solutions for boundary value problems on time scales. J. Comput. Appl. Math. 141 (2002) 75-99
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 75-99
    • Atici, F.M.1    Guseinov, G.Sh.2
  • 11
    • 0036537770 scopus 로고    scopus 로고
    • Existence of three positive solutions to a second-order boundary value problem on a measure chain
    • Avery R.I., and Anderson D.R. 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
  • 12
    • 0035426483 scopus 로고    scopus 로고
    • Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
    • Avery R.I., Chyan C.J., and Henderson J. Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Comput. Math. Appl. 42 (2001) 695-704
    • (2001) Comput. Math. Appl. , vol.42 , pp. 695-704
    • Avery, R.I.1    Chyan, C.J.2    Henderson, J.3
  • 13
    • 0003185303 scopus 로고    scopus 로고
    • Two positive fixed points of nonlinear operator on ordered Banach spaces
    • Avery R.I., and Henderson J. Two positive fixed points of nonlinear operator on ordered Banach spaces. Comm. Appl. Nonlinear Anal. 8 (2001) 27-36
    • (2001) Comm. Appl. Nonlinear Anal. , vol.8 , pp. 27-36
    • Avery, R.I.1    Henderson, J.2
  • 16
    • 0036538018 scopus 로고    scopus 로고
    • Twin solutions of boundary value problems for differential equations on measure chains
    • Chyan C.J., and Henderson J. 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
  • 17
    • 0001053284 scopus 로고    scopus 로고
    • Positive solutions in an annulus for nonlinear differential equations on a measure chain
    • Chyan C.J., and Henderson J. Positive solutions in an annulus for nonlinear differential equations on a measure chain. Tamkang J. Math. 30 (1999) 231-240
    • (1999) Tamkang J. Math. , vol.30 , pp. 231-240
    • Chyan, C.J.1    Henderson, J.2
  • 19
    • 0002297188 scopus 로고    scopus 로고
    • Eigenvalue conditions and positive solutions
    • Erbe L., and Peterson A. Eigenvalue conditions and positive solutions. J. Difference Equ. Appl. 6 (2000) 165-191
    • (2000) J. Difference Equ. Appl. , vol.6 , pp. 165-191
    • Erbe, L.1    Peterson, A.2
  • 20
    • 0346881057 scopus 로고    scopus 로고
    • Green's functions and comparison theorems for differential equations on measure chains
    • Erbe L., and Peterson A. Green's functions and comparison theorems for differential equations on measure chains. Dyn. Contin. Discrete Impuls. Syst. 6 (1999) 121-137
    • (1999) Dyn. Contin. Discrete Impuls. Syst. , vol.6 , pp. 121-137
    • Erbe, L.1    Peterson, A.2
  • 21
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear differential equation on a measure chain
    • Erbe L., and Peterson A. Positive solutions for a nonlinear differential equation on a measure chain. Math. Comput. Modelling 32 (2000) 571-585
    • (2000) Math. Comput. Modelling , vol.32 , pp. 571-585
    • Erbe, L.1    Peterson, A.2
  • 23
    • 0242626792 scopus 로고    scopus 로고
    • On the existence of positive solutions of p-Laplacian difference equation
    • He Z. On the existence of positive solutions of p-Laplacian difference equation. J. Comput. Appl. Math. 161 (2003) 193-201
    • (2003) J. Comput. Appl. Math. , vol.161 , pp. 193-201
    • He, Z.1
  • 24
    • 84951604495 scopus 로고
    • Analysis on measure chains-A unified approach to continuous and discrete calculus
    • Hilger S. 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
  • 26
    • 16344366712 scopus 로고    scopus 로고
    • Controlling wound healing through debridement
    • Jones M.A., Song B., and Thomas D.M. Controlling wound healing through debridement. Math. Comput. Modelling 40 (2004) 1057-1064
    • (2004) Math. Comput. Modelling , vol.40 , pp. 1057-1064
    • Jones, M.A.1    Song, B.2    Thomas, D.M.3
  • 27
    • 3042663324 scopus 로고    scopus 로고
    • Positive solutions of a three-point boundary value problem on a time scale
    • Kaufmann E.R. Positive solutions of a three-point boundary value problem on a time scale. Electron. J. Differential Equations 2003 82 (2003) 1-11
    • (2003) Electron. J. Differential Equations , vol.2003 , Issue.82 , pp. 1-11
    • Kaufmann, E.R.1
  • 30
    • 0000394603 scopus 로고
    • Multiple positive fixed points of nonlinear operators on ordered Banach spaces
    • Leggett R., and Williams L. Multiple positive fixed points of nonlinear operators on ordered Banach spaces. Indiana Univ. Math. J. 28 (1979) 673-688
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 673-688
    • Leggett, R.1    Williams, L.2
  • 31
    • 33644831098 scopus 로고    scopus 로고
    • Positive solutions of one-dimensional p-Laplacian singular Sturm-Liouville boundary value problems
    • (in Chinese)
    • Li C., and Ge W. Positive solutions of one-dimensional p-Laplacian singular Sturm-Liouville boundary value problems. Math. Appl. 15 (2002) 13-17 (in Chinese)
    • (2002) Math. Appl. , vol.15 , pp. 13-17
    • Li, C.1    Ge, W.2
  • 32
    • 0345581075 scopus 로고    scopus 로고
    • Multiple positive solutions for nonlinear dynamic systems on a measure chain
    • Li W.T., and Sun H.R. 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
  • 33
    • 0038405055 scopus 로고    scopus 로고
    • Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator
    • Liu Y., and Ge W. Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator. J. Math. Anal. Appl. 278 (2003) 551-561
    • (2003) J. Math. Anal. Appl. , vol.278 , pp. 551-561
    • Liu, Y.1    Ge, W.2
  • 34
    • 0037114103 scopus 로고    scopus 로고
    • Multiple positive solutions for the one-dimensional singular p-Laplacian
    • Lü H., O'Regan D., and Zhong C. Multiple positive solutions for the one-dimensional singular p-Laplacian. Appl. Math. Comput. 133 (2002) 407-422
    • (2002) Appl. Math. Comput. , vol.133 , pp. 407-422
    • Lü, H.1    O'Regan, D.2    Zhong, C.3
  • 35
    • 17944372756 scopus 로고    scopus 로고
    • Existence of positive solutions to second-order time scale systems
    • Sun H.R. Existence of positive solutions to second-order time scale systems. Comput. Math. Appl. 49 (2005) 131-145
    • (2005) Comput. Math. Appl. , vol.49 , pp. 131-145
    • Sun, H.R.1
  • 36
    • 7244221601 scopus 로고    scopus 로고
    • Existence of positive solutions for nonlinear three-point boundary value problems on time scales
    • Sun H.R., and Li W.T. Existence of positive solutions for nonlinear three-point boundary value problems on time scales. J. Math. Anal. Appl. 299 (2004) 508-524
    • (2004) J. Math. Anal. Appl. , vol.299 , pp. 508-524
    • Sun, H.R.1    Li, W.T.2
  • 37
    • 0242715285 scopus 로고    scopus 로고
    • The existence of positive solutions for a class of nonlinear boundary value problems
    • (in Chinese)
    • Sun W., and Ge W. The existence of positive solutions for a class of nonlinear boundary value problems. Acta Math. Sinica 44 (2001) 577-580 (in Chinese)
    • (2001) Acta Math. Sinica , vol.44 , pp. 577-580
    • Sun, W.1    Ge, W.2
  • 39
    • 3543075159 scopus 로고    scopus 로고
    • Positive periodic solutions of functional differential equations
    • Wang H. Positive periodic solutions of functional differential equations. J. Differential Equations 202 (2004) 354-366
    • (2004) J. Differential Equations , vol.202 , pp. 354-366
    • Wang, H.1
  • 40
    • 21744457995 scopus 로고    scopus 로고
    • The existence of positive solutions for the one-dimensional p-Laplacian
    • Wang J. The existence of positive solutions for the one-dimensional p-Laplacian. Proc. Amer. Math. Soc. 125 (1997) 2275-2283
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 2275-2283
    • Wang, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.