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In this paper the forced neutral differential equation with positive and negative coefficients is considered, where f ε L1(t0, ∞) ∩ C ([t0, ∞),R), P,Q,R ε C ([t0, ∞), R+) and r,τ,σ∈(0, ∞).


The sufficient conditions to oscillate for all solutions of this equation are studied.


This paper deals with the blowup properties of solutions to semilinear heat equation with the nonlinear boundary condition .


Attractor for weakly damped driven long waveshort wave resonance equation


The existence of solution and universal attractor for weakly damped driven long waveshort wave resonance equation are obtained.


The necessary and sufficient conditions for the oscillations of every solution of the nonlinear delay equation x(t)+f(itx(tl))+g(itx([tk])) = 0 are oblained.


Oscillations of solution for a class of higherorder neutral differential equation


In this paper, the higherorder neutral differential equation with continuous distributed delay is concerned and the oscillatory criteria are given.


The results can be applied to the wellknown nonlinear oscillating equation ?+f(x)h(?)?+g(x)k(?)=0, and the criterion of the nonexistence of periodic solutions associated with this equation is obtained.


Longtime uniform stability of solution to magnetohydrodynamics equation


A class of functional equation and fractal interpolation functions


A new class of functional equation in C0(I) is investigated.


It is proved that some class of FIF satisfies the functional equation.


In this paper, the existence of periodic solution for the thirdorder nonlinear ordinary differential equation of the form {} is considered, where f, g, h and p are the continuous functions, and p(t+T)=p(t).


On a twopoint boundary value problem of duffing type equation with dirichlet conditions


The pressure equation, which is elliptic in appearance, is discretized by a standard fivepoints difference method.


The concentration equation is treated by an implicit finite difference method that applies a form of the method of characteristics to the transport terms.


Multivariate refinement equation with finitely supported mask


In this paper, some criteria of the existence of the solution to a refinement equation are obtained.


The existence of positive radial solutions of the equationdiv(Dup2Du)=f(u) is studied in annular domains in Rn, n≥2.

