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[PDF] Top 20 Some results of meromorphic solutions of second order linear differential equations

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Some results of meromorphic solutions of second order linear differential equations

Some results of meromorphic solutions of second order linear differential equations

... a meromorphic solution of a linear differential equation with meromorphic coefficients cannot be estimated uni- formly in terms of the growth of the coefficients ...coefficients, some additional ... See full document

14

Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients

Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients

... of meromorphic solutions of certain linear difference equations with meromorphic ...of meromorphic solutions of a nonhomogeneous linear difference ...following ... See full document

13

Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations

Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations

... of meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f 00 + Af 0 + Bf = F, where A (z) , B (z) and F (z) are ... See full document

8

Results on meromorphic solutions of linear difference equations

Results on meromorphic solutions of linear difference equations

... investigate meromorphic solutions of linear difference equations and prove a number of ...of meromorphic solutions under some special cases and provide some examples ... See full document

7

Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations

Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations

... of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ...Our results ... See full document

14

On the meromorphic solutions of some linear difference equations

On the meromorphic solutions of some linear difference equations

... of meromorphic solutions of some linear difference ...obtain some results on the growth of meromorphic solutions when most coefficients in such equations have ... See full document

12

All meromorphic solutions of some algebraic differential equations and their applications

All meromorphic solutions of some algebraic differential equations and their applications

... differential equations with constant coefficients and dominant term. Many results are the corollaries of our result, and we will give the complex method to find all traveling wave exact solutions of ... See full document

14

Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations

Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations

... fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic func- tions (see ...mean meromorphic in the whole complex plane C ...the order of ... See full document

10

Properties of Solutions of Complex Differential Equations in the Unit Disc

Properties of Solutions of Complex Differential Equations in the Unit Disc

... of differential polynomial generated by meromorphic and analytic solutions of second order linear differential equations with meromorphic coefficients and ... See full document

15

On the Growth of Solutions of Some Second Order Linear Differential Equations

On the Growth of Solutions of Some Second Order Linear Differential Equations

... fundamental results and the standard notations of the Nevanlinna’s value distribution theory of meromorphic functions ...the order of growth of meromorphic function f z, σ 2 f to denote the ... See full document

9

Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations

Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations

... finite order transcendental mero- morphic solutions of the equation above, it shows that they are almost equal to each other except for a nonconstant factor, if they have the same zeros and poles counting ... See full document

8

8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations

8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations

... transcendental meromorphic functions(see ...of solutions of the general differential ...of solutions of second order linear differential equations with ... See full document

11

On the growth of solutions of second order complex differential equation with meromorphic coefficients

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 ... See full document

13

On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series

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

Subnormal Solutions of Second Order Nonhomogeneous Linear Differential Equations with Periodic Coefficients

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 ...functions. Some important researches were ... See full document

12

A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations

A program for predicting the intervals of oscillations in the solutions of ordinary second order linear homogeneous differential equations

... then emerges. In what follows, we always begin with the canonical form () since all or- dinary second-order linear homogeneous differential equations can be initially cast into this form. We ... See full document

23

A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations

A powerful diagnostic tool of analytic solutions of ordinary second order linear homogeneous differential equations

... first-order equations for verification ...of solutions of equation () using a new technique that we describe in Appendix ...The second predictor takes an analytically tractable form in the ... See full document

9

New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order

New Results on the Nonoscillation of Solutions of Some Nonlinear Differential Equations of Third Order

... all solutions of nonlinear functional differential ...established some sufficient conditions for oscillation of all solutions of the second-order forced differential equation of the ... See full document

11

On hyper order of solutions of higher order linear differential equations with meromorphic coefficients

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 growth of ... See full document

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3. Growth of solutions of linear diferential equations in the unit
disk

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| < ...four results which are similar to those in the ... See full document

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