메뉴 건너뛰기




Volumn 36, Issue 6, 2006, Pages 2027-2039

Boundedness of solutions of second-order forced nonlinear dynamic equations

Author keywords

Boundedness; Forced nonlinear dynamic equation; Positive solution; Time scale

Indexed keywords


EID: 34247251430     PISSN: 00357596     EISSN: None     Source Type: Journal    
DOI: 10.1216/rmjm/1181069359     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0036537766 scopus 로고    scopus 로고
    • R.P. Agarwal, M. Bohner, D. O'Regan and A. Peterson, Dynamic equations on time scales: A survey, special issue on Dynamic equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.) (Preprint, in Ulmer Seminare 5) J. Comput,. Appl. Math. 141 (2002), 1-26.
    • R.P. Agarwal, M. Bohner, D. O'Regan and A. Peterson, Dynamic equations on time scales: A survey, special issue on Dynamic equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.) (Preprint, in Ulmer Seminare 5) J. Comput,. Appl. Math. 141 (2002), 1-26.
  • 3
    • 2442481871 scopus 로고    scopus 로고
    • An oscillation theorem for discrete eigenvalue problems
    • M. Bohner, O. Došlý and W. Kratz, An oscillation theorem for discrete eigenvalue problems, Rocky Mountain J. Math. 33 (2003), 1233-1260.
    • (2003) Rocky Mountain J. Math , vol.33 , pp. 1233-1260
    • Bohner, M.1    Došlý, O.2    Kratz, W.3
  • 4
    • 0038182569 scopus 로고    scopus 로고
    • Oscillation properties of an Emden-Fowler type aquation on discrete time scales
    • E.A. Bohner and J. Hoffacker, Oscillation properties of an Emden-Fowler type aquation on discrete time scales, J. Difference Equ. Appl. 9 (2003), 603-612.
    • (2003) J. Difference Equ. Appl , vol.9 , pp. 603-612
    • Bohner, E.A.1    Hoffacker, J.2
  • 6
    • 7544238768 scopus 로고    scopus 로고
    • Oscillation of second order nonlinear dynamic equations on time scales
    • M. Bohner and S.H. Saker, Oscillation of second order nonlinear dynamic equations on time scales, Rocky Mountain J. Math. 34 (2004), 1239-1254.
    • (2004) Rocky Mountain J. Math , vol.34 , pp. 1239-1254
    • Bohner, M.1    Saker, S.H.2
  • 7
    • 9644279696 scopus 로고    scopus 로고
    • Oscillation criteria for perturbed nonlinear dynamic equations
    • _, Oscillation criteria for perturbed nonlinear dynamic equations, Math. Comput. Modelling 40 (2004), 249-260.
    • (2004) Math. Comput. Modelling , vol.40 , pp. 249-260
    • Bohner, M.1    Saker, S.H.2
  • 8
    • 0036537638 scopus 로고    scopus 로고
    • O. Došlý and S. Hilger, A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales, special issue on Dynamic, equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.), J. Comput. Appl. Math. 141 (2002), 147-158.
    • O. Došlý and S. Hilger, A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales, special issue on Dynamic, equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.), J. Comput. Appl. Math. 141 (2002), 147-158.
  • 9
    • 0037947460 scopus 로고    scopus 로고
    • Oscillation criteria for second order linear equations on a time scale
    • L. Erbe, Oscillation criteria for second order linear equations on a time scale, Canad. Appl. Math. Quart. 9 (2001), 1-31.
    • (2001) Canad. Appl. Math. Quart , vol.9 , pp. 1-31
    • Erbe, L.1
  • 12
    • 34247262691 scopus 로고    scopus 로고
    • _, Oscillation criteria for second order matrix dynamic equations on a time scale, special issue on Dynamic equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.), J. Comput. Appl. Math. 141, (2002), 169-185.
    • _, Oscillation criteria for second order matrix dynamic equations on a time scale, special issue on Dynamic equations on time scales (R.P. Agarwal, M. Bohner and D. O'Regan, eds.), J. Comput. Appl. Math. 141, (2002), 169-185.
  • 13
    • 1442302793 scopus 로고    scopus 로고
    • Boundedness and oscillation for nonlinear dynamic equations on a time scale
    • L. Erbe and A. Peterson, Boundedness and oscillation for nonlinear dynamic equations on a time scale. Proc. Amer. Math. Soc. 132 (2004), 735-744.
    • (2004) Proc. Amer. Math. Soc , vol.132 , pp. 735-744
    • Erbe, L.1    Peterson, A.2
  • 14
    • 0036868423 scopus 로고    scopus 로고
    • Comparison theorems for linear dynamic equations on time scales
    • L. Erbe, A. Peterson, and P. Rehak, Comparison theorems for linear dynamic equations on time scales, J. Math. Anal. Appl. 275 (2002), 418-438.
    • (2002) J. Math. Anal. Appl , vol.275 , pp. 418-438
    • Erbe, L.1    Peterson, A.2    Rehak, P.3
  • 15
    • 0038238281 scopus 로고    scopus 로고
    • Oscillation criteria for second-order nonlinear dynamic equations on time scales
    • L. Erbe, A. Peterson and S.H. Saker. Oscillation criteria for second-order nonlinear dynamic equations on time scales, J. London Math. Soc. 67 (2003), 701-714.
    • (2003) J. London Math. Soc , vol.67 , pp. 701-714
    • Erbe, L.1    Peterson, A.2    Saker, S.H.3
  • 16
    • 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
  • 18
    • 0142031029 scopus 로고    scopus 로고
    • Oscillation of nonlinear dynamic equations on time scales
    • S.H. Saker, Oscillation of nonlinear dynamic equations on time scales, Appl. Math. Comput. 148 (2004), 81-91.
    • (2004) Appl. Math. Comput , vol.148 , pp. 81-91
    • Saker, S.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.