

  complex oscillation 
In this paper, we investigate the complex oscillation of the differential equationf"+B1f'+B0f=F, whereB0,B1,F≠0 are finite order meromorphic functions having only finitely many poles and the order ofB1 is larger than that ofB0.


A problem of complex oscillation for homogeneous linear differential equations


Under a combined dominant condition, an open problem of complex oscillation for the equationw(k) + Aw = 0 is set, wherek?3, a(z) is a transcendental entire function.


Results of numerical modeling describing the fluctuation of watercells in a vertical slot support the idea of thermally unstable water column in a hole, the instability of which produces a complex oscillation system.


The complex oscillation of nonhomogeneous linear differential equations with transcendental coefficients is discussed.


On the Complex Oscillation of Higher Order Linear Differential Equations with Meromorphic Coefficients


In this paper, we investigate the complex oscillation of higher order homogenous and nonhomogeneous linear differential equations with meromorphic coefficients of iterated order, and obtain some results which improve and extend those given by Z.


If x is a complex oscillation, then x has a dense set of rapid points.


Our focus is on the structure of the socalled rapid points of a complex oscillation.


Recursive properties of rapid points The rapid points of a complex oscillation have a specific recursive structure.


Recursive properties of rapid points Furthermore, each rapid point of a complex oscillation is not a recursive real number.




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