Oscillation of even order partial differential equations with distributed deviating arguments
نویسندگان
چکیده
منابع مشابه
Oscillation Criteria for Certain Even Order Differential Equations with Distributed Deviating Arguments
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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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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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.08.031