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Volumn 25, Issue 2, 2012, Pages 157-162

The existence of a positive solution to a second-order deltanabla p-Laplacian BVP on a time scale

Author keywords

Cone; Deltanabla dynamic equation; One dimensional p Laplacian; Sign changing coefficients; Time scales

Indexed keywords

CONTINUOUS FUNCTIONS; DELTANABLA DYNAMIC EQUATION; DYNAMIC BOUNDARY; NUMERICAL EXAMPLE; ONE-DIMENSIONAL P-LAPLACIAN; P-LAPLACIAN; POSITIVE SOLUTION; SECOND ORDERS; SIGN-CHANGING; TIME-SCALES;

EID: 80053213742     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.08.005     Document Type: Article
Times cited : (19)

References (33)
  • 1
    • 21344475243 scopus 로고
    • On a nonlinear parabolic problem arising in some models related to turbulent flows
    • J. Diaz, and F. de Thelin On a nonlinear parabolic problem arising in some models related to turbulent flows SIAM J. Math. Anal. 25 1994 1085 1111
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 1085-1111
    • Diaz, J.1    De Thelin, F.2
  • 2
    • 70350734478 scopus 로고    scopus 로고
    • Periodic solutions for a class of reactiondiffusion equations with p-Laplacian
    • P.Y.H. Pang, Y. Wang, and J. Yin Periodic solutions for a class of reactiondiffusion equations with p-Laplacian Nonlinear Anal. RWA 11 2010 323 331
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 323-331
    • Pang, P.Y.H.1    Wang, Y.2    Yin, J.3
  • 3
    • 55049128075 scopus 로고    scopus 로고
    • Existence of solutions for a first-order p-Laplacian BVP on time scales
    • D.R. Anderson Existence of solutions for a first-order p-Laplacian BVP on time scales Nonlinear Anal. 69 2008 4521 4525
    • (2008) Nonlinear Anal. , vol.69 , pp. 4521-4525
    • Anderson, D.R.1
  • 4
    • 2642576430 scopus 로고    scopus 로고
    • Existence of three positive pseudo-symmetric solutions for a one dimensional discrete p-Laplacian
    • DOI 10.1080/10236190410001667959
    • R.I. Avery, and J. Henderson Existence of three positive pseudo-symmetric solutions for a one dimensional discrete p-Laplacian J. Difference Equ. Appl. 10 2004 529 539 (Pubitemid 38726730)
    • (2004) Journal of Difference Equations and Applications , vol.10 , Issue.6 , pp. 529-539
    • Avery, R.1    Henderson, J.2
  • 5
    • 46249126941 scopus 로고    scopus 로고
    • Multiple solutions for a discrete boundary value problem involving the p-Laplacian
    • P. Candito, and N. Giovannelli Multiple solutions for a discrete boundary value problem involving the p-Laplacian Comput. Math. Appl. 56 2008 959 964
    • (2008) Comput. Math. Appl. , vol.56 , pp. 959-964
    • Candito, P.1    Giovannelli, N.2
  • 6
    • 35448944368 scopus 로고    scopus 로고
    • Multiple results of p-Laplacian dynamic equations on time scales
    • DOI 10.1016/j.amc.2007.03.069, PII S0096300307003992
    • F. Geng, and D. Zhu Multiple results of p-Laplacian dynamic equations on time scales Appl. Math. Comput. 193 2007 311 320 (Pubitemid 47625501)
    • (2007) Applied Mathematics and Computation , vol.193 , Issue.2 , pp. 311-320
    • Geng, F.1    Zhu, D.2
  • 7
    • 0038405055 scopus 로고    scopus 로고
    • Twin positive solutions of boundary value problems for finite difference equations with p-laplacian operator
    • DOI 10.1016/S0022-247X(03)00018-0
    • Y. Liu, and W. Ge Twin positive solutions of boundary value problems for finite difference equations with p-Laplacian operator J. Math. Anal. Appl. 278 2003 551 561 (Pubitemid 36530155)
    • (2003) Journal of Mathematical Analysis and Applications , vol.278 , Issue.2 , pp. 551-561
    • Liu, Y.1    Ge, W.2
  • 8
    • 41049095457 scopus 로고    scopus 로고
    • Three positive solutions of boundary value problems for p-Laplacian difference equations
    • DOI 10.1016/j.camwa.2007.08.033, PII S0898122107006621
    • D. Wang, and W. Guan Three positive solutions of boundary value problems for p-Laplacian difference equations Comput. Math. Appl. 55 2008 1943 1949 (Pubitemid 351423507)
    • (2008) Computers and Mathematics with Applications , vol.55 , Issue.9 , pp. 1943-1949
    • Wang, D.-B.1    Guan, W.2
  • 9
    • 29544449556 scopus 로고    scopus 로고
    • Existence of multiple positive solutions for one-dimensional p-Laplacian
    • Y. Wang, and C. Hou Existence of multiple positive solutions for one-dimensional p-Laplacian J. Math. Anal. Appl. 315 2006 114 153
    • (2006) J. Math. Anal. Appl. , vol.315 , pp. 114-153
    • Wang, Y.1    Hou, C.2
  • 10
    • 69249215122 scopus 로고    scopus 로고
    • Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales
    • W. Han, Z. Jin, and S. Kang Existence of positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism on time scales J. Comput. Appl. Math. 223 2009 188 196
    • (2009) J. Comput. Appl. Math. , vol.223 , pp. 188-196
    • Han, W.1    Jin, Z.2    Kang, S.3
  • 11
    • 80052658053 scopus 로고    scopus 로고
    • Several existence theorems of multiple positive solutions of nonlinear m-point BVP for an increasing homeomorphism and homomorphism on time scales
    • Art. ID 584145
    • W. Han, and S. Kang Several existence theorems of multiple positive solutions of nonlinear m-point BVP for an increasing homeomorphism and homomorphism on time scales Bound. Value Probl. 2009 Art. ID 584145, 19 pp
    • (2009) Bound. Value Probl. , pp. 19
    • Han, W.1    Kang, S.2
  • 12
    • 67349175652 scopus 로고    scopus 로고
    • Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales
    • Y. Sang, H. Su, and F. Xu Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales Comput. Math. Appl. 58 2009 216 226
    • (2009) Comput. Math. Appl. , vol.58 , pp. 216-226
    • Sang, Y.1    Su, H.2    Xu, F.3
  • 13
    • 78651379292 scopus 로고    scopus 로고
    • Existence of a positive solution to a first-order p-Laplacian BVP on a time scale
    • C.S. Goodrich Existence of a positive solution to a first-order p-Laplacian BVP on a time scale Nonlinear Anal. 74 2011 1926 1936
    • (2011) Nonlinear Anal. , vol.74 , pp. 1926-1936
    • Goodrich, C.S.1
  • 14
    • 79952218737 scopus 로고    scopus 로고
    • Positive solutions for third-order p-Laplacian functional dynamic equations on time scales
    • Art. ID 585378
    • C. Song, and X. Gao Positive solutions for third-order p-Laplacian functional dynamic equations on time scales Bound. Value Probl. 2011 Art. ID 585378, 11 pp
    • (2011) Bound. Value Probl. , pp. 11
    • Song, C.1    Gao, X.2
  • 15
    • 79952218936 scopus 로고    scopus 로고
    • Multiple positive solutions for second-order p-Laplacian dynamic equations with integral boundary conditions
    • Art. ID 867615
    • Y. Li, and T. Zhang Multiple positive solutions for second-order p-Laplacian dynamic equations with integral boundary conditions Bound. Value Probl. 2011 Art. ID 867615, 17 pp
    • (2011) Bound. Value Probl. , pp. 17
    • Li, Y.1    Zhang, T.2
  • 16
    • 4344674578 scopus 로고    scopus 로고
    • Existence of solutions for a one dimensional p-Laplacian on time-scales
    • DOI 10.1080/10236190410001731416
    • D.R. Anderson, R.I. Avery, and J. Henderson Existence of solutions for a one-dimensional p-Laplacian on time scales J. Difference Equ. Appl. 10 2004 889 896 (Pubitemid 39129957)
    • (2004) Journal of Difference Equations and Applications , vol.10 , Issue.10 , pp. 889-896
    • Anderson, D.1    Avery, R.2    Henderson, J.3
  • 17
    • 84951604495 scopus 로고
    • Analysis on measure chainsa unified approach to continuous and discrete calculus
    • S. Hilger Analysis on measure chainsa unified approach to continuous and discrete calculus Results Math. 18 1990 18 56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 20
    • 33846042078 scopus 로고    scopus 로고
    • Positive solutions of nonlocal boundary value problems: A unified approach
    • G. Infante, and J.R.L. Webb Positive solutions of nonlocal boundary value problems: a unified approach J. Lond. Math. Soc. 74 2 2006 673 693
    • (2006) J. Lond. Math. Soc. , vol.74 , Issue.2 , pp. 673-693
    • Infante, G.1    Webb, J.R.L.2
  • 21
    • 19644362041 scopus 로고    scopus 로고
    • Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales
    • DOI 10.1016/j.cam.2004.12.012, PII S037704270400620X
    • Z. He Double positive solutions of three-point boundary value problems for p-Laplacian dynamic equations on time scales J. Comput. Appl. Math. 182 2005 304 315 (Pubitemid 40736806)
    • (2005) Journal of Computational and Applied Mathematics , vol.182 , Issue.2 , pp. 304-315
    • He, Z.1
  • 22
    • 38049090651 scopus 로고    scopus 로고
    • Several existence theorems of nonlinear m-point boundary value problem for p-Laplacian dynamic equations on time scales
    • Y. Sang, and H. Su Several existence theorems of nonlinear m-point boundary value problem for p-Laplacian dynamic equations on time scales J. Math. Anal. Appl. 340 2008 1012 1026
    • (2008) J. Math. Anal. Appl. , vol.340 , pp. 1012-1026
    • Sang, Y.1    Su, H.2
  • 23
    • 53949089181 scopus 로고    scopus 로고
    • Triple positive solutions of m-point BVPs for p-Laplacian dynamic equations on time scales
    • Y.H. Su, and W.T. Li Triple positive solutions of m-point BVPs for p-Laplacian dynamic equations on time scales Nonlinear Anal. 69 2008 3811 3820
    • (2008) Nonlinear Anal. , vol.69 , pp. 3811-3820
    • Su, Y.H.1    Li, W.T.2
  • 24
    • 34547675918 scopus 로고    scopus 로고
    • Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales
    • H.R. Sun, and W.T. Li Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales J. Differential Equations 240 2007 217 248
    • (2007) J. Differential Equations , vol.240 , pp. 217-248
    • Sun, H.R.1    Li, W.T.2
  • 25
    • 43449135879 scopus 로고    scopus 로고
    • The multiple positive solutions for p-Laplacian multipoint BVP with sign changing nonlinearity on time scales
    • Y. Zhu, and J. Zhu The multiple positive solutions for p-Laplacian multipoint BVP with sign changing nonlinearity on time scales J. Math. Anal. Appl. 344 2008 616 626
    • (2008) J. Math. Anal. Appl. , vol.344 , pp. 616-626
    • Zhu, Y.1    Zhu, J.2
  • 27
    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
    • F.M. Atici, and P.W. Eloe Initial value problems in discrete fractional calculus Proc. Amer. Math. Soc. 137 2009 981 989
    • (2009) Proc. Amer. Math. Soc. , vol.137 , pp. 981-989
    • Atici, F.M.1    Eloe, P.W.2
  • 28
    • 79953286192 scopus 로고    scopus 로고
    • Two-point boundary value problems for finite fractional difference equations
    • F.M. Atici, and P.W. Eloe Two-point boundary value problems for finite fractional difference equations J. Difference Equ. Appl. 17 2011 445 456
    • (2011) J. Difference Equ. Appl. , vol.17 , pp. 445-456
    • Atici, F.M.1    Eloe, P.W.2
  • 29
    • 25144460994 scopus 로고    scopus 로고
    • Positive solutions for boundary value problem of nonlinear fractional differential equation
    • DOI 10.1016/j.jmaa.2005.02.052, PII S0022247X05001733
    • Z. Bai, and H. L Positive solutions for boundary value problem of nonlinear fractional differential equation J. Math. Anal. Appl. 311 2005 495 505 (Pubitemid 41350217)
    • (2005) Journal of Mathematical Analysis and Applications , vol.311 , Issue.2 , pp. 495-505
    • Bai, Z.1    Lu, H.2
  • 30
    • 78049333168 scopus 로고    scopus 로고
    • Discrete-time fractional variational problems
    • N.R.O. Bastos Discrete-time fractional variational problems Signal Process. 91 2010 513 524
    • (2010) Signal Process. , vol.91 , pp. 513-524
    • Bastos, N.R.O.1
  • 31
    • 77953136599 scopus 로고    scopus 로고
    • Continuity of solutions to discrete fractional initial value problems
    • C.S. Goodrich Continuity of solutions to discrete fractional initial value problems Comput. Math. Appl. 59 2010 3489 3499
    • (2010) Comput. Math. Appl. , vol.59 , pp. 3489-3499
    • Goodrich, C.S.1
  • 32
    • 77953688007 scopus 로고    scopus 로고
    • Existence of a positive solution to a class of fractional difference equations
    • C.S. Goodrich Existence of a positive solution to a class of fractional difference equations Appl. Math. Lett. 23 2010 1050 1055
    • (2010) Appl. Math. Lett. , vol.23 , pp. 1050-1055
    • Goodrich, C.S.1
  • 33
    • 78650178926 scopus 로고    scopus 로고
    • Solutions to a discrete right-focal fractional boundary value problem
    • C.S. Goodrich Solutions to a discrete right-focal fractional boundary value problem Int. J. Difference Equ. 5 2010 195 216
    • (2010) Int. J. Difference Equ. , vol.5 , pp. 195-216
    • Goodrich, C.S.1


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