[PDF] Top 20 On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
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On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... Remark . From [], Remark ., we know that the condition that the multiplicity of poles of the meromorphic solution f is uniformly bounded is necessary. Hence the condi- tion was missing in Theorems . and ... See full document
13
Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
... of solutions of complex higher order linear differential equations with meromorphic coeffi- cients under some assumptions for [p, q] − ϕ order and we obtain some ... See full document
17
On the hyper exponent of convergence of zeros of f(j)−φ of higher order linear differential equations
... of meromorphic functions (see [, , ...the order of meromorphic function f (z), λ(f ) to denote the exponent of convergence of the zero-sequence of f (z) and λ(f ) to denote exponent of ... See full document
16
Existence of nonoscillatory solutions of higher order neutral differential equations with positive and negative coefficients
... tions, which might be caused by the difficulty in establishing feasible operator. In view of the above, here, in this paper, the difficulty of an operator establishment was settled and sufficiency conditions for the existence ... See full document
8
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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Existence of nonoscillatory solutions for system of higher order neutral differential equations with distributed coefficients and delays
... above equations, the delay of neutral part in the discussed differential equations were all constant ...of higher-order neutral differential equations with distributed ... See full document
10
3. Growth of solutions of linear diferential equations in the unit disk
... of solutions of higher order linear differential equations with analytic coefficients in the unit disc ∆ = {z ∈ C : |z| < ... See full document
13
On Periodic Solutions of Higher-Order Functional Differential Equations
... third-order linear differential equations,” Differentsial’nye Uravneniya, ...Differential Equations, ...“Periodic solutions of second-order nonautonomous dynamical systems,” ... See full document
18
Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients
... Recently, meromorphic solutions of complex difference equations have become a sub- ject of great interest from the viewpoint of Nevanlinna theory due to the apparent role of the existence of such ... See full document
13
On the growth of solutions of certain higher order linear differential equations
... Proof of Theorem . Let f be a solution of (.), then f is a nonzero entire function. Using a similar proof to Step in the proof of Theorem ., we obtain that σ (f ) ≥ n. Now we prove that σ(f ) = ∞ . Suppose that ... See full document
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Oscillation of higher order quasi linear neutral differential equations
... neutral differential equations find numerous applications in natural science and ...of solutions of various types of neutral functional differential ... See full document
10
On Approximate Solutions of Second Order Linear Partial Differential Equations
... In this paper, a Chebyshev polynomial approximation for the solution of second-order partial differential equations with two variables and variable coefficients is given. Also, Chebyshev ... See full document
7
On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series
... Theorems A and B give the properties of solutions of (.) when there is exactly one coefficient that has the maximal order. Thus, a natural question arises: how about the properties of solutions of ... See full document
13
An Efficient Numerical Algorithm For Solving Linear Differential Equations of Arbitrary Order And Coefficients
... every linear ordinary differential equation of arbitrary order and ...siderably higher than that of the BPFs ...piecewise linear approximation technique where the co- efficients are ... See full document
12
Growth of meromorphic solutions of linear difference equations without dominating coefficients
... a meromorphic function f (z), we denote by T (r, f ), N(r, f ) the characteristic function and the counting function of f (z), ...the order and the lower order of a meromorphic function f (z) ... See full document
12
On the Growth of Solutions of Some Second Order Linear Differential Equations
... In this paper, we will assume that the reader is familiar with the fundamental results and the standard notations of the Nevanlinna’s value distribution theory of meromorphic functions e.g., see 1–3. In addition, ... See full document
9
Subnormal Solutions of Second Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients
... the solutions of a linear differential equation with periodic coefficients is one of the difficult aspects in the complex oscillation theory of differential ... See full document
12
8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... has linear measure zero, such that if ψ ∈ [0, 2π)\E, then there is a constant R = R(ψ) > 1 such that, for all z satisfying arg z = ψ and |z| = r > R, we ... See full document
11
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 (z), λ(f ) to ... See full document
14
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... linear measure zero, we have (3.13) holds, for sufficiently large |z| = r. Then by Lemma 2.6, we get ρ (g) ≤ ρ + 3ε < σ for a small positive ε, a contradiction with ρ (g) ≥ σ. Hence, every transcendental ... See full document
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