Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation
نویسندگان
چکیده
منابع مشابه
Asymptotic Behaviour of Oscillatory Solutions of a Fourth-order Nonlinear Differential Equation
Asymptotic behaviour of oscillatory solutions of the fourth-order nonlinear differential equation with quasiderivates y[4] + r(t)f(y) = 0 is studied.
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In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
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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...
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in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. some new positive periodic criteria are given.
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The behaviour of solutions to fourth order problems is studied through the decomposition into a system of second order ones, which leads to relaxed formulations with the introduction of measure terms. This allows to solve a shape optimization problem for a simply supported thin plate. Ref. S.I.S.S.A. 32/97/M (March 97) Asymptotic behaviour of solutions of fourth order Dirichlet problems 1
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ژورنال
عنوان ژورنال: Mathematica Bohemica
سال: 2002
ISSN: 0862-7959,2464-7136
DOI: 10.21136/mb.2002.134069