Oscillation of nonlinear impulsive parabolic differential equations of neutral type
نویسندگان
چکیده
منابع مشابه
Oscillation Criteria of Impulsive Neutral Parabolic Equations with Nonlinear Diffusion Coefficient
In 1991, the first paper on impulsive partial differential equations [1] was published. For an excellent exposition of this paper and its applications, see [2]. The oscillation theory of impulsive partial differential equations have wide applications in such subjects as control theory, meteorology, biology, medicine, engineering, chemistry and physics. Many results can be found [3-14]. However,...
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This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.
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This paper is intended to study the oscillatory behaviour of solutions of the higher order nonlinear neutral type functional dynamic equation with oscillating coefficients of the following form: [y(t) + p(t)y (τ(t))] n + m ∑ i=1 qi(t)fi (y (φi(t))) = s(t) where n ≥ 2. We obtain sufficient conditions for oscillatory behaviour of its solutions. Our results complement the oscillation results for n...
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In the last few years there has been much interest in studying the oscillatory behaviour of solutions of partial differential equations with deviating arguments. We refer the reader to Mishev & Bainov [1], [2], Yoshida [3], Georgiou & Kreith [4] and Cui [5]. However, only the papers [1] and [5] considered the oscillation for parabolic differential equations of neutral type. The purpose of this ...
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denotes the greatest integer function, and x−1, x0 are given real numbers. Since 1980’s differential equations with piecewise constant arguments have attracted great deal of attention of researchers in mathematical and some of the others fields in science. Piecewise constant systems exist in a widely expanded areas such as biomedicine, chemistry, mechanical engineering, physics, etc. These kind...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2011
ISSN: 0035-7596
DOI: 10.1216/rmj-2011-41-3-833