Oscillation criteria for a class of nonlinear impulsive parabolic system under Dirichlet boundary condition

机译：Dirichlet边界条件下一类非线性脉冲抛物方程组的振动准则

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摘要

In this paper, the author discuss oscillation of nonzero solutions for a class of impulsive parabolic system. Several oscillation criteria are obtained under Dirichlet boundary condition by using the Green formula and Jensen inequality.

机译：在本文中，作者讨论了一类脉冲抛物系统的非零解的振动性。利用Green公式和Jensen不等式，在Dirichlet边界条件下获得了几个振动准则。

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《International Conference on Advanced Mechatronic Systems》|2015年|61-65|共5页
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Junhong Liu; Wenxue Liu; Lifeng Li; Qi Jin;
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Dirichlet Boundary Condition; impulsive control parabolic system; nonlinear; oscillation;

机译：Dirichlet边界条件脉冲控制抛物线系统非线性振动;

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专利

1. Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions [J] . Ding JT. Nonlinear Analysis: An International Multidisciplinary Journal . 2003,第6期

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2. A Second-Order Linearized Difference Scheme on Nonuniform Meshes for Nonlinear Parabolic Systems with Dirichlet Boundary Value Conditions [J] . Ling-Yun Zhang, Zhi-Zhong Sun Numerical Methods for Partial Differential Equations: An International Journal . 2003,第5期

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3. Oscillation criteria for impulsive parabolic boundary value problem with delay [J] . Fu XL, Shiau LJ Applied mathematics and computation . 2004,第2期

机译：时滞脉冲抛物型边值问题的振动准则
4. Oscillation criteria for a class of nonlinear impulsive parabolic system under Dirichlet boundary condition [C] . Junhong Liu, Wenxue Liu, Lifeng Li, International Conference on Advanced Mechatronic Systems . 2015

机译：Dirichlet边界条件下一类非线性脉冲抛物系统的振动标准
5. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

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6. Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions [O] . Juntang Ding -1

机译：非线性边界条件下p-Laplacian抛物型问题的整体存在和爆破结果
7. Numerical Asymptotic Stability of the Finite Element Scheme for a System of Nonlinear Parabolic Equations Arising in Chemical Reactions : Ⅱ. Nonhomogeneous Dirichlet Boundary Conditions [O] . Ishihara Kazuo 1985

机译：化学反应中非线性抛物方程组有限元格式的数值渐近稳定性：Ⅱ。非齐次Dirichlet边界条件

Oscillation criteria for a class of nonlinear impulsive parabolic system under Dirichlet boundary condition

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