Oscillation theorems for nth-order differential equations with deviating arguments
نویسندگان
چکیده
منابع مشابه
Second-order Differential Equations with Deviating Arguments
where f ∈ C(J ×R×R,R) and α∈ C(J , J) (e.g., αmay be defined by α(t)=√t, T ≥ 1 or α(t)= 0.7t, t ∈ J). Moreover, r and γ are fixed real numbers. Differential equations with deviated arguments arise in a variety of areas of biological, physical, and engineering applications, see, for example, [9, Chapter 2]. The monotone iterative method is useful to obtain approximate solutions of nonlinear diff...
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and Applied Analysis 3 If any solution x of 1.1 is either oscillatory, or satisfies the condition 1.7 , or admits the asymptotic representation x i c 1 sin t − α i εi t , i 0, 1, 2, 3 , 1.8 where c / 0 and α are constants, the continuous functions εi i 0, 1, 2, 3 vanish at infinity and ε0 satisfies the inequality cε0 t > 0 for large t, then we say that 1.1 has weak property A. For n 3, the resu...
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By using averaging function and the approach developed by Philos and Kong, Kamenevtype and interval oscillation criteria are established for the even order differential equation with distributed deviating arguments, (r(t)|x(n−1)(t)|p−1x(n−1)(t))′ + β ∫ α F [t,ξ ,x(g(t,ξ ))]dσ(ξ ) = 0. The obtained results are extensions of existing ones for second order linear differential equations. Mathematic...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1984
ISSN: 0022-247X
DOI: 10.1016/0022-247x(84)90066-0