[PDF] Top 20 On the Growth of Solutions of Some Second Order Linear Differential Equations
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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, we will ... See full document
9
Growth of solutions of some kinds of linear difference equations
... the growth and the exponent of convergence of the sequence of zeros of meromorphic solutions of ...maximal order; in [–], the authors considered the case when there is exactly only one coefficient ... See full document
11
On the growth of solutions of a class of second order complex differential equations
... However, it seems that there is little work done on equation () whose coefficient func- tions are meromorphic functions. Recently, Wu et al. discussed the problem correlating with this in []. Now we still consider ... See full document
9
8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... of solutions of the general differential ...of solutions of second order linear differential equations with entire ...extended some results in [5] to the ... See full document
11
3. Growth of solutions of linear diferential equations in the unit disk
... infinite order? Many authors have investigated the growth of the solutions of complex linear differential equations in C , see [2, 3, 4, 5, 6, 10, 15, 21, 22, 28, ... See full document
13
On the growth of solutions of higher order complex linear differential equations
... There are many authors investigated the growthiof solutions of (1.1). Z. X. Chen and C.C. Yang in 2002 [12] proved that 𝜌 2 (𝑓) = 𝜌(𝐴 0 ) provided that the order of 𝐴 0 dominated the maximum order of ... See full document
5
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
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... These results were improved by Bela¨ıdi in [2, 3] by considering more general conditions to higher order linear differential equations with entire coefficients. Recently in [8] Chen extended ... See full document
8
Some results of meromorphic solutions of second order linear differential equations
... the growth of a meromorphic solution of a linear differential equation with meromorphic coefficients cannot be estimated uni- formly in terms of the growth of the coefficients ...the growth of the ... See full document
14
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
14
On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... differential equations. For an introduction to the theory of differential equations in the complex plane by using Nevanlinna theory; see, for example ...The order of growth of solutions ... See full document
13
Properties of Solutions of Complex Differential Equations in the Unit Disc
... give some definitions and ...small growth order of functions in ∆ as polynomials on the complex plane C ...small growth order of functions in ∆ (see [11] , [12]) ... See full document
15
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
Fully non-linear parabolic differential equations of second order
... The estimates to be proved are of three types; a maximum principle similar to the Aleksandrov-Bakelman Max1mum Pr1nc1ple for subsolutions of linear equations, a local max1mum principle s[r] ... See full document
105
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 ...all solutions of impulsive differential ... See full document
12
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations
... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document
5
Periodic solutions of second order differential equations with multiple delays
... periodic solutions of a differential delay equation to the problem of finding periodic solutions for a related system of ordinary differential ...periodic solutions of ...satisfies ... See full document
12
Positive solutions for nonlinear second order differential equations with singularities
... periodic solutions to second order differential equations with singular nonlinear ...positive solutions under reasonable ... See full document
14
Homoclinic Solutions of Singular Nonautonomous Second-Order Differential Equations
... This paper also deals with the case that f satisfies 1.13 and is unbounded above on −∞, L. In contrast to 12, here we prove the existence of a homoclinic solution for f having a linear behaviour near −∞. The proof ... See full document
21
A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations
... of equations y ± xy ∓ y = , which possess the particular solution y = x and another particular solution that cannot be written in closed form (it contains the error function erf( √ x ... See full document
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