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In this paper, we consider the oscillation and non-oscillation of second order half-linear differential equation. By using some new technique, we establish new oscillation and non-oscillation criteria...
Abstract: Let $(\mathcal{X}, d, \mu)$ be a metric measure space, $L$ a linear operator which has a bounded $H_\infty$ functional calculus and satisfies the Davies-Gaffney estimate, $\Phi$ a concave fu...
In this paper we consider the partial difference equation with continuous variables, Some sufficient conditions for all solutions of this equation to be oscillatory are obtained.
In this paper, we give some results of the oscillations criteria of the solution for some higher - order equations with deviating arguments , and note of the impulsive hyperbolic equations.We get some...
Some sufficient conditions are established for the oscillation of first order linear differential systems whose coefficients obey certain conditions. An example is given to illustrate the results....
Some sufficient conditions are established for the oscillation of first order linear differential systems whose coefficients obey certain conditions. An example is given to illustrate the results.
In this paper, we investigate the growth and the complex oscillation theory of the linear differential equation f (k)+Ak¡1 f (k¡1)+:::+A1 f 0 +A0 f =F, where A0;A1; :::; Ak¡1;F 6&a...
In Archimedean space (X;Á) we study oscillation of all solutions of the second-order difference equation with a nonlinear damped term of the form a(k)D2y(k)+b(k)Dy(k)+c(k)y(k)+ f (k;y(k);y(k&...
OSCILLATION OF NONLINEAR DIFFERENCE EQUATIONS WITH SEVERAL COEFFICIENTS。
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE。
Sufficient conditions are established for oscillation of systems of neutral hyperbolic differential equations with continuous distributed deviating arguments. The approach used is to reduce the mult...
An algorithmic description of the dependence of the oscillation pattern of the ratio f / g of two functions f and g on the oscillation pattern of the ratio f' / g' of their derivatives is given. T...
A linearized oscillation result for even-order neutral differential equations.
By using vector Riccati transformation and averaging technique, some oscillation criteria for the quasilinear elliptic differential equation of second order, $$ \sum_{i, j=1}^{N}D_i[\,\Psi(y) A_{ij}(x...

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