Asymptotic behaviour of oscillatory solutions of n-th order differential equations with quasiderivatives
نویسندگان
چکیده
منابع مشابه
ASYMPTOTIC BEHAVIOUR OF OSCILLATORY SOLUTIONS OF n - TH ORDER DIFFERENTIAL EQUATIONS
In this paper, sufficient conditions have been obtained so that all oscillatory solutions of the n-th order differential equations with quasi derivatives tend to zero as t tends to infinity.
متن کاملASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO n-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS
We establish conditions for the linear differential equation y(t) + p(t)y(g(t)) = 0 to have property A. Explicit sufficient conditions for the oscillation of the the equation is obtained while dealing with the property A of the equations. A comparison theorem is obtained for the oscillation of the equation with the oscillation of a third order ordinary differential equation.
متن کاملOSCILLATORY CRITERIA FOR NONLINEAR nTH-ORDER DIFFERENTIAL EQUATIONS WITH QUASIDERIVATIVES
Sufficient conditions are given for the existence of oscillatory proper solutions of a differential equation with quasiderivatives Lny = f(t, L0y, . . . , Ln−1y) under the validity of the sign condition f(t, x1, . . . , xn)x1 ≤ 0, f(t, 0, x2, . . . , xn) = 0 on R+ × Rn.
متن کاملOn Existence of Oscillatory Solutions of nth Order Differential Equations with Quasiderivatives
Sufficient conditions are given under which the nonlinear n-th order differential equation with quasiderivatives has oscillatory solutions. AMS Subject Classification. 34C10
متن کاملOn Asymptotic Behaviour of Oscillatory Solutions for Fourth Order Differential Equations
We establish sufficient conditions for the linear differential equations of fourth order (r(t)y′′′(t))′ = a(t)y(t) + b(t)y′(t) + c(t)y′′(t) + f(t) so that all oscillatory solutions of the equation satisfy lim t→∞ y(t) = lim t→∞ y′(t) = lim t→∞ y′′(t) = lim t→∞ r(t)y′′′(t) = 0, where r : [0,∞)→ (0,∞), a, b, c and f : [0,∞)→ R are continuous functions. A suitable Green’s function and its estimate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1997
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1022817628637