摘要：
In this paper, by making use of the calculous technique and some results of the impulsive differential inequality, oscillatory properties of the solutions of certain nonlinear impulsive delay hyperbolic partial differential equations with nonlinear diffusion coefficient are investigated. Sufficient conditions for oscillations of such equations are obtained.
作者机构：
[徐根; 肖建清; 蒋复量] School of Resources and Safety Engineering, Central South University, Changsha 410083, China;[丁德馨; 蒋复量] School of Nuclear Resources and Safety Engineering, University of South China, Hengyang 421001, China;[肖建清] School of Mathematical and Physical Sciences, University of South China, Hengyang 421001, China
通讯机构：
School of Resources and Safety Engineering, Central South University, China
期刊：
Journal of Applied Mathematics and Computing,2009年29(1-2):197-206 ISSN：1598-5865
通讯作者：
Xu, Y.(xuyoujun7618@yahoo.com.cn)
作者机构：
[Youjun Xu; Jing Li; Zhenhai Liu] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410075, China;[Youjun Xu] School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China
通讯机构：
[Youjun Xu] S;School of Mathematical Sciences and Computing Technology, Central South University, Changsha, People’s Republic of China<&wdkj&>School of Mathematics and Physics, University of South China, Hengyang, People’s Republic of China
关键词：
Controllability;Parabolic equation;Nonlinear gradient term
摘要：
In this paper, we prove the controllability of a quasi-linear heat equation involving gradient terms with Fourier boundary conditions in a bounded domain ofℝ
N
. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments.
期刊：
Abstract and Applied Analysis,2009年2009:1-12 ISSN：1085-3375
通讯作者：
Ouyang, ZG
作者机构：
[Ouyang, Zigen; Zhong, Jichao; Zou, Shuliang] Univ S China, Ctr Nucl Energy Econ & Management, Hengyang 421001, Peoples R China.;[Ouyang, Zigen; Zhong, Jichao] Univ S China, Sch Phys & Mat, Hengyang 421001, Peoples R China.
通讯机构：
[Ouyang, ZG ] ;Univ S China, Ctr Nucl Energy Econ & Management, Hengyang 421001, Peoples R China.
关键词：
A class of second-order nonlinear differential equations with damping term (r(t)|x′(t)|σ−1x′(t))′+p(t)|x′(t)|σ−1x′(t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method;we obtain some new sufficient conditions forthe oscillation of the above equation;and some references are extended in this paper. Examples areinserted to illustrate this result. Published: 2009 First available in Project Euclid: 16 March 2010 zbMATH: 1181.34044 MathSciNet: MR2559281 Digital Object Identifier: 10.1155/2009/897058
摘要：
A class of second-order nonlinear differential equations with damping term (r(t) | x ′ (t) | -1 x ′ (t)) ′ +p(t) | x ′ (t) | -1 x ′ (t)+q(t)f(x(t))=0 are investigated in this paper. By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are extended in this paper. Examples are inserted to illustrate this result.
