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      KCI등재

      ON THE OSCILLATION OF SECOND-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS ON TIME SCALES

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      https://www.riss.kr/link?id=A103706858

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      다국어 초록 (Multilingual Abstract)

      By using the generalized Riccati transformation and the in-equality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations [수식]on a time scale T, here r ≥1 is the ratio of two positive odd i...

      By using the generalized Riccati transformation and the in-equality technique, we establish some new oscillation criterion for the second-order nonlinear delay dynamic equations [수식]on a time scale T, here r ≥1 is the ratio of two positive odd integers with a and q real-valued positive right-dense continuous functions defined on T.
      Our results not only extend and improve some known results, but also unify the oscillation of the second-order nonlinear delay differential equation and the second-order nonlinear delay difference equation.

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      참고문헌 (Reference)

      1 Saker, S.H, "Oscillation theorems for second-order nonlinear delay difference equations" 47 : 201-213, 2003

      2 Philos, Ch.G, "Oscillation theorems for linear differential equations of second order" 53 : 482-492, 1989

      3 Erbe, L., "Oscillation of third order functional dynamic equations with mixed arguments on time scales" 34 : 353-371, 2010

      4 Zhang, Q, "Oscillation of second-order nonlinear delay dynamic equations with damping on time scales" 2010

      5 Zhang, Q., "Oscillation of second-order nonlinear delay dynamic equa- tions on time scales" 2010

      6 Bohner, M., "Oscillation of second order nonlinear dynamic equations on time scales" 34 : 1239-1254, 2004

      7 Sun, S., "Oscillation of second order delay dynamic equations on time scales" 30 : 459-468, 2009

      8 Agarwal, R. P., "Oscillation of second order delay dynamic equa- tions" 13 : 1-18, 2005

      9 Sahiner, Y, "Oscillation of second order delay differential equations on time scales" 63 : 1073-1080, 2005

      10 Han, Z, "Oscillation for second-order nonlinear delay dynamic equations on time scales" 13-, 2009

      1 Saker, S.H, "Oscillation theorems for second-order nonlinear delay difference equations" 47 : 201-213, 2003

      2 Philos, Ch.G, "Oscillation theorems for linear differential equations of second order" 53 : 482-492, 1989

      3 Erbe, L., "Oscillation of third order functional dynamic equations with mixed arguments on time scales" 34 : 353-371, 2010

      4 Zhang, Q, "Oscillation of second-order nonlinear delay dynamic equations with damping on time scales" 2010

      5 Zhang, Q., "Oscillation of second-order nonlinear delay dynamic equa- tions on time scales" 2010

      6 Bohner, M., "Oscillation of second order nonlinear dynamic equations on time scales" 34 : 1239-1254, 2004

      7 Sun, S., "Oscillation of second order delay dynamic equations on time scales" 30 : 459-468, 2009

      8 Agarwal, R. P., "Oscillation of second order delay dynamic equa- tions" 13 : 1-18, 2005

      9 Sahiner, Y, "Oscillation of second order delay differential equations on time scales" 63 : 1073-1080, 2005

      10 Han, Z, "Oscillation for second-order nonlinear delay dynamic equations on time scales" 13-, 2009

      11 Saker, S.H, "Oscillation criteria of second-order half-linear dynamic equations on time scales" 177 : 375-387, 2005

      12 Erbe, L., "Oscillation criteria for second order nonlinear delay dynamic equations" 333 : 505-522, 2007

      13 Erbe, L, "Oscillation criteria for second order linear equations on a time scale" 9 : 345-375, 2001

      14 Grace, S. R., "On the oscillation of second-order half-linear dynamic equations" 15 (15): 451-460, 2009

      15 Saker, S.H, "New oscillation criteria for second-order neutral functional dy- namic equations via the generalized Riccati substitution" 16 : 423-434, 2011

      16 Hardy, G. H., "Inequalities, Second Edition" Cambridge Univ. Press 1988

      17 Agarwal, R. P., "Dynamic equations on time scales: a survey" 141 : 1-26, 2002

      18 Bohner, M, "Dynamic Equations on Time Scales: An Introduction with Applications" BirkhÄauser 2001

      19 Erbe, L., "Comparison theorems for linear dynamic equations on time scales" 275 : 418-438, 2002

      20 Hilger, S., "Analysis on measure chains-a uni¯ed approach to continuous and discrete calculus" 18 : 18-56, 1990

      21 Bohner, M, "Advances in Dynamic Equations on Time Scales" BirkhÄauser 2003

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      유사연구자 (20) 활용도상위20명

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2026 평가예정 재인증평가 신청대상 (재인증)
      2020-01-01 평가 등재학술지 유지 (재인증) KCI등재
      2019-11-08 학회명변경 영문명 : The Korean Society For Computational & Applied Mathematics And Korean Sigcam -> Korean Society for Computational and Applied Mathematics KCI등재
      2017-01-01 평가 등재학술지 유지 (계속평가) KCI등재
      2013-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2008-02-18 학술지명변경 한글명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics
      외국어명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics
      KCI등재
      2008-02-15 학술지명변경 한글명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.)
      외국어명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.)
      KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2006-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2004-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2001-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      1998-07-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.16 0.16 0.13
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.1 0.07 0.312 0.02
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