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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제36권 제3호
- 발행연도
- 2018.1
- 수록면
- 213 - 229 (17page)
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In this work, we establish oscillation of the second order sublinear neutral delay dynamic equations of the form:$$(r(t)((x(t)+p(t)x({\tau}(t)))^{\Delta})^{\gamma})^{\Delta}+q(t)x^{\gamma}({\alpha}(t))+v(t)x^{\gamma}({\eta}(t))=0$$ on a time scale T by means of Riccati transformation technique, under the assumptions $${\displaystyle\smashmargin{2}{\int\nolimits^{\infty}}_{t_0}}\({\frac{1}{r(t)}}\)^{\frac{1}{\gamma}}{\Delta}t={\infty}$$, and ${\displaystyle\smashmargin{2}{\int\nolimits^{\infty}}_{t_0}}\({\frac{1}{r(t)}}\)^{\frac{1}{\gamma}}{\Delta}t$ < ${\infty}$, for various ranges of p(t), where 0 < ${\gamma}{\leq}1$ is a quotient of odd positive integers.
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참고문헌 (19)
참고문헌 신청
R.P. Agarwal / 2002 / Dynamic equations on time scales: a survey / J. Math. Anal. Appl. Math 141(1-2):1~26
R.P. Agarwal / 2004 / Oscillation criteria for second order nonlinear delay dynamic equations / J. Math. Anal. Appl 300:203~217
Ravi P. Agrwal / 2006 / Oscillation criteria for nonlinear perturbeddynamic equations of second-order on the timescales / Journal of Applied Mathematics and Informatics 20(1-2):133~148
M. Bohner / 2001 / Dynamic equations on time scales: An introduction with Applications / Birkhauser
M. Bohner / 2001 / Advance in dynamic equations on time scales / Birkhauser
R.P. Agarwal / 2004 / Oscillation criteria for second order nonlinear delay dynamic equations / J. Math. Anal. Appl 300:203~217
Ravi P. Agrwal / 2006 / Oscillation criteria for nonlinear perturbeddynamic equations of second-order on the timescales / Journal of Applied Mathematics and Informatics 20(1-2):133~148
M. Bohner / 2001 / Dynamic equations on time scales: An introduction with Applications / Birkhauser
M. Bohner / 2001 / Advance in dynamic equations on time scales / Birkhauser
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