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초록· 키워드
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By means of a Riccati transform and averaging techniquesome oscillation criteria are established for perturbed nonlinear dieren-tial equations of second order (P₁) (p(t)x'(t))'+ q(t)|x((Φ(t))|α+1 sgn x(Φ(t)) + g(t,x(t)) = 0(P₂) and (P₃) satisfying the condition (H). A comparison theorem andexamples are given.
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참고문헌 (16)
참고문헌 신청
A. Elbert / 1990 / Oscillation and nonoscillation theorems for a class of second order quasilinear differential equations / Acta Mathematica Hungarica 56 (3) : 325 ~ 336
A. H. Nasr / 1998 / Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential / Proceedings of the Amer
B. Ayanlar / 2000 / Oscillation theorems for nonlinear second order differential equations with damping / Acta Mathematica Hungarica 89 (1) : 1 ~ 13
C. C. Yeh / 1982 / Oscillation theorems for nonlinear second order differential equations with damped term / Proceedings of the American Mathematical Society 84 (3) : 397 ~
Ch. G. Philos / 1989 / Oscillation theorems for linear differential equations of second order / Archiv der Mathematik (Basel) 53 (5) : 482 ~ 492
A. H. Nasr / 1998 / Sufficient conditions for the oscillation of forced super-linear second order differential equations with oscillatory potential / Proceedings of the Amer
B. Ayanlar / 2000 / Oscillation theorems for nonlinear second order differential equations with damping / Acta Mathematica Hungarica 89 (1) : 1 ~ 13
C. C. Yeh / 1982 / Oscillation theorems for nonlinear second order differential equations with damped term / Proceedings of the American Mathematical Society 84 (3) : 397 ~
Ch. G. Philos / 1989 / Oscillation theorems for linear differential equations of second order / Archiv der Mathematik (Basel) 53 (5) : 482 ~ 492
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