논문KCI 등재
Oscillation criteria of differential equations of second order
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We give sufficient conditions that the homogeneous differential equations : for t ≥ t_0 (>0),x''(t) + q(t)x'(t) + p(t)x(t) = 0,x''(t) + q(t)x'(t) + F(t, x(φ(t)))=0are oscillatory where 0 ≤ φ(t), 0 < φ'(t), [수식] φ(t) = ∞ and F(t,u) · sgn u ≥ p(t)|u|. We obtain comparison theorems.
Abstract
We give sufficient conditions that the homogeneous differential equations : for t ≥ t_0 (>0),x''(t) + q(t)x'(t) + p(t)x(t) = 0,x''(t) + q(t)x'(t) + F(t, x(φ(t)))=0are oscillatory where 0 ≤ φ(t), 0 < φ'(t), [수식] φ(t) = ∞ and F(t,u) · sgn u ≥ p(t)|u|. We obtain comparison theorems.
참고문헌 (10)
- S. Breuer, "Hille-Wintner type oscillationcriteria for linear ordinary differential equations of second order", Ann. Polon. Math, 30, pp.257~262 (1975)
- P. Hartman, "Ordinary differential equations" (1964), John Wiley & Sons, Inc., New York-London-Sydney
- Hishyar Kh. Abdullah, "A note on the oscillation of second order differential equations", Czechoslovak Math. Jour. Publ, 54(4), pp.949~954 (2004)
- Horng-Jaan Li, "Nonoscillation characterizations of a second order linear differential equations", Math. Nachr, 219, pp.147~161 (2000)
- Horng-Jaan Li, "On the nonoscillatory behavior of solutions of a second order linear differential equation", Math. Nachr, 182, pp.295~315 (1996)
- M.A. Naimark, "Linear differential operators, Part I, II" (1967), Ungar. New York
- W.T. Reid, "Sturmian theory for ordinary differential equations" (1980), Springer-Verlag, New York
- R.P. Agarwal, "Oscillation criteria for second order retarded differential equations", Math. Comput. Modelling, 26(4), pp.1~11 (1997)
- C.A. Swanson, "Comparison and oscillation theory of linear differential equations" (1968), Academis Press, New York
- A. Wintner, "On the comparison theorem of Kneser-Hille", Math. Scand, 5, pp.255~260 (1957)
관련 논문AI추천
Oscillation and nonoscillation criteria for differential equations of second order김낙중강원경기수학회 · 한국수학논문집2011 · 제19권 제4호Oscillation theorems for perturbed differential equations of second order김낙중대한수학회 · 대한수학회보2008 · 제45권 제2호Oscillation criteria for second order differential inclusionsDonal O`Regan, Ravi P. Agarwal, Said R. Grace장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제1호Oscillation of one order neutral differential equation with impulsesJinfa Cheng, Yuming Chu대한수학회 · 대한수학회논문집2011 · 제26권 제2호Oscillation theorems of solutions for some differential equationsRakJoong Kim대한수학회 · 대한수학회논문집2004 · 제19권 제3호OSCILLATORY BEHAVIOR OF SECOND-ORDER HALF-LINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DAMPING TERML. Gao, Q. Zhang, S. Liu장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호
이 간행물의 다른 논문 (9건)
A Cooley-Tukey modified algorithm in fast Fourier transform김화준, Somchai Lekcharoenpp. 243-253Semigroup rings as H-domains장규환pp. 255-261Generating certain quintic irreducible polynomials over finite fields김기태, 안영우pp. 263-272A homomorphism of pointed minimal sets and Ellis groups송형수pp. 273-278Strong convergence of paths for nonexpansive semigroups in Banach spaces강신민, 조선영, 권영철pp. 279-289