[PDF] Top 20 Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
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Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
... [p, q]-order and obtained some results concerning their ...in order to maintain accordance with general definitions of the entire function f of iterated p−order [13, 14], Liu-Tu- ... See full document
17
Complex oscillation of a second order linear differential equation with entire coefficients of [p,q]−φ order
... a meromorphic function of finite order or finite iterated order, and have obtained many results about the interaction between the solutions and the coefficient of ...[p, q]- order or ... See full document
14
8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... the growth and fixed points of mero- morphic solutions of higher order nonhomogeneous linear differential equations with meromorphic coefficients and their ... See full document
11
On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... of meromorphic functions is a powerful tool in the field of complex differential ...differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of ... See full document
13
Properties of Solutions of Complex Differential Equations in the Unit Disc
... the complex oscillation of differential polynomial generated by meromorphic and analytic solutions of second order linear differential equations with ... See full document
15
Growth of meromorphic solutions of linear difference equations without dominating coefficients
... a meromorphic function with order σ = σ (f ), 0 < σ < ∞ and f (z) has q zero-pole accumulation rays and p deficient values other than 0 and ∞, then p ≤ ...if p = q ≥ ... See full document
12
Some results of meromorphic solutions of second order linear differential equations
... of meromorphic func- tions (see [–]). The term ‘meromorphic function’ will mean meromorphic in the whole complex plane ...the order of growth of a meromorphic function f ... See full document
14
On the growth of solutions of higher order complex linear differential equations
... Lemma 2.5 [4] Let "𝑓(𝑧)" be a meromorphic function of finite order“𝜌 , “and let“𝜖 > 0“be a given constant. Then there exists a set“ "𝐸 ⊆ (1, ∞)" that has finite logarithmic measure, such ... See full document
5
On the growth of solutions of second order complex differential equation with meromorphic coefficients
... infinite order. However, there are some equations of the form ...finite order; for example, f(z) = e z satisfies f ’’ + e -z f ’ - (e -z + 1)f = ...infinite order? There has been much work on ... See full document
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3. Growth of solutions of linear diferential equations in the unit disk
... the growth of solutions of higher order linear differential equations with analytic coefficients in the unit disc ∆ = {z ∈ C : |z| < ... See full document
13
Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients
... a meromorphic function always means meromorphic in the whole complex plane C, and c always means a nonzero ...of meromorphic functions such as T(r, f ), m(r, f ) and N(r, f ) as explained in ... See full document
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Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... of meromorphic functions (see [11], [14], ...a meromorphic function f in the complex plane C , we will use the notations λ (f ) and λ (f ) to denote respectively the exponent of convergence of the ... See full document
8
Complex linear differential equations with certain analytic coefficients of [p,q] order in the unit disc
... We assume that readers are familiar with the fundamental results and the standard no- tations of the Nevanlinna value distribution theory of meromorphic functions in the unit disc (see [–]). Firstly, we ... See full document
12
Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations
... of meromorphic func- tions (see [–]). The term ‘meromorphic function’ will mean meromorphic in the whole complex plane C ...the order of growth of a meromorphic function ... See full document
10
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... the growth of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
14
Oscillation of higher order quasi linear neutral differential equations
... neutral differential equations find numerous applications in natural science and ...the oscillation and nonoscillation of solutions of various types of neutral functional differential ... See full document
10
Oscillation and non oscillation of some neutral differential equations of odd order
... and KUSANO, T., Oscillation theory of higher order linear functional differential equations of neutral type, Hiroshima Math.. and ZHANG, B.G., Oscillation Theory of Differential Equation[r] ... See full document
7
Growth of meromorphic solutions of certain types of q difference differential equations
... 3. Beardon, AF: Entire solutions of f(kz) = kf (z)f (z). Comput. Methods Funct. Theory 12(1), 273-278 (2012) 4. Goldstein, R: Some results on factorization of meromorphic functions. J. Lond. Math. Soc. 4(2), ... See full document
16
Comparison theorems for fourth order differential equations
... On the Oscillation of Solutions of a Class of Linear Fourth Order Differential Equations, Pacific J.. An Ordering of Oscillation Types for Anal.[r] ... See full document
5
Oscillation of a class of second order linear impulsive differential equations
... differential equations are recognized as adequate mathematical models for studying evolution processes that are subject to abrupt changes in their states at certain ...the oscillation of all solutions of ... See full document
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