(Strong) Oscillation for Systems of Impulsive Neutral Parabolic Equations with Quasilinear Diffusion Coefficient

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (8) : 183-186.

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(Strong) Oscillation for Systems of Impulsive Neutral Parabolic Equations with Quasilinear Diffusion Coefficient

LUO Li-ping1; YU Yuan-hong2

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Abstract

The (strong) oscillation of solutions for the systems of a class of quasilinear impulsive neutral parabolic partial differential equations with quasilinear diffusion coefficient is studied. By using the oscillatory definition, Greens formula and Newmann boundary condition directly, the oscillatory problem of solution to the systems of impulsive neutral parabolic equations is reduced to the problem of which impulsive neutral differential inequality hasnt eventually position solution, and thereby some sufficient criteria are obtained for the (strong) oscillation of such systems via the definition of eventually position solution and impulsive neutral differential inequality. The obtained results fully reflect the influence action of impulses and delays in oscillation.

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quasilinear diffusion coefficient / impulse / systems of neutral parabolic partial differential equations / (strong) oscillation

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LUO Li-ping;YU Yuan-hong. (Strong) Oscillation for Systems of Impulsive Neutral Parabolic Equations with Quasilinear Diffusion Coefficient[J]. Journal of Vibration and Shock, 2011, 30(8): 183-186