Oscillation of a quasilinear impulsive delay parabolic equation with two different boundary conditions

Oscillation criteria for impulsive parabolic boundary value problem with delay

10 In this work, we study the criteria of oscillatory solutions to impulsive parabolic 11 boundary value problem with delay. First, we consider two types of boundary condition 12 which resolve in oscillatory solutions in the impulsive problem with delay, then we 13 further reduce the oscillation criteria for the problem. 14 2003 Published by Elsevier Science Inc. 15

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Oscillation of a Linear Delay Impulsive Differential Equation

The main result of the paper is that the oscillation (non-oscillation) of the impulsive delay differential equation ẋ(t) + m ∑ k=1 Ak(t)x[hk(t)] = 0, t ≥ 0, x(τj) = Bjx(τj − 0), lim τj = ∞ is equivalent to the oscillation (non-oscillation) of the equation without impulses ẋ(t) = m ∑

A Nonlinear Fourth-order Parabolic Equation with Nonhomogeneous Boundary Conditions

Abstract. A nonlinear fourth-order parabolic equation with nonhomogeneous Dirichlet–Neumann boundary conditions in one space dimension is analyzed. This equation appears, for instance, in quantum semiconductor modeling. The existence and uniqueness of strictly positive classical solutions to the stationary problem are shown. Furthermore, the existence of global nonnegative weak solutions to the...

a quasilinear parabolic equation with inhomogeneous density and absorption