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Volumn 148, Issue 1, 2004, Pages 81-91

Oscillation of nonlinear dynamic equations on time scales

Author keywords

Oscillation; Riccati transformation technique; Second order dynamic equations; Time scale

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; OSCILLATIONS; THEOREM PROVING;

EID: 0142031029     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00829-9     Document Type: Article
Times cited : (106)

References (13)
  • 4
    • 0036537638 scopus 로고    scopus 로고
    • A necessary and sufficient condition for oscillation of the Sturm Liouville dynamic equation on time scales
    • Dosly O., Hilger S. A necessary and sufficient condition for oscillation of the Sturm Liouville dynamic equation on time scales. J. Comp. Appl. Math. 141:2002;147-158.
    • (2002) J. Comp. Appl. Math. , vol.141 , pp. 147-158
    • Dosly, O.1    Hilger, S.2
  • 6
    • 0037946564 scopus 로고    scopus 로고
    • Riccati equations on a measure chain
    • (Atlanta, GA), Dynamic, Atlanta, GA
    • L. Erbe, A. Peterson, Riccati equations on a measure chain, Dynamic systems and applications 3 (Atlanta, GA, 1999), Dynamic, Atlanta, GA, 2001, pp. 193-199.
    • (1999) Dynamic Systems and Applications , vol.3 , pp. 193-199
    • Erbe, L.1    Peterson, A.2
  • 7
    • 0033834427 scopus 로고    scopus 로고
    • Positive solutions for a nonlinear differential equation on a measure chain. Boundary value problems and related topics
    • Erbe L., Peterson A. Positive solutions for a nonlinear differential equation on a measure chain. Boundary value problems and related topics. Math. Comput. Modell. 32:2000;571-585.
    • (2000) Math. Comput. Modell. , vol.32 , pp. 571-585
    • Erbe, L.1    Peterson, A.2
  • 8
    • 0036538243 scopus 로고    scopus 로고
    • Oscillation criteria for second-order matrix dynamic equations on a time scale
    • Erbe L., Peterson A. Oscillation criteria for second-order matrix dynamic equations on a time scale. J. Comp. Appl. Math. 141:2002;169-185.
    • (2002) J. Comp. Appl. Math. , vol.141 , pp. 169-185
    • Erbe, L.1    Peterson, A.2
  • 9
    • 0036537262 scopus 로고    scopus 로고
    • On a disconjugacy criterion for second order dynamic equations on time scales
    • Guseinov G.S., Kaymakçalan B. On a disconjugacy criterion for second order dynamic equations on time scales. J. Comp. Appl. Math. 141:2002;187-196.
    • (2002) J. Comp. Appl. Math. , vol.141 , pp. 187-196
    • Guseinov, G.S.1    Kaymakçalan, B.2
  • 10
    • 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
  • 11
    • 0001114950 scopus 로고
    • Integral criterion for oscillation of linear differential equations of second order
    • Kamenev I.V. Integral criterion for oscillation of linear differential equations of second order. Math. Zemetki. 1978;249-251.
    • (1978) Math. Zemetki , pp. 249-251
    • Kamenev, I.V.1
  • 12
    • 58149363311 scopus 로고
    • Oscillation criteria for second order linear differential equations
    • Li H.J. Oscillation criteria for second order linear differential equations. J. Math. Anal. Appl. 194:1995;312-321.
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 312-321
    • Li, H.J.1
  • 13
    • 0038283838 scopus 로고    scopus 로고
    • A necessary and sufficient oscillation condition for the discrete Euler equation
    • Zhang G., Cheng S.S. A necessary and sufficient oscillation condition for the discrete Euler equation. Pan American Math. J. 9:1999;29-34.
    • (1999) Pan American Math. J. , vol.9 , pp. 29-34
    • Zhang, G.1    Cheng, S.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.