On the Growth of Solutions of Some Higher Order Linear Differential Equations With Entire Coefficients
نویسندگان
چکیده
In this paper, we investigate the order and the hyper-order of solutions of the linear differential equation
منابع مشابه
An Approximate Method for System of Nonlinear Volterra Integro-Differential Equations with Variable Coefficients
In this paper, we apply the differential transform (DT) method for finding approximate solution of the system of linear and nonlinear Volterra integro-differential equations with variable coefficients, especially of higher order. We also obtain an error bound for the approximate solution. Since, in this method the coefficients of Taylor series expansion of solution is obtained by a recurrence r...
متن کاملOn The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
In the present work, a hybrid of Fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable coefficients. The Fourier transform is employed with combination of homotopy perturbation method (HPM), the so called Fourier transform homotopy perturbation method (FTHPM) to solve the partial differential equations. The c...
متن کاملGrowth of Solutions to Linear Differential Equations with Entire Coefficients of Slow Growth
In this article, we investigate the hyper order of solutions of higherorder linear differential equations with entire coefficients of slow growth. We assume that the lower order of the dominant coefficient in the high-order linear equations is less than 1/2, and obtain some results which extend the results in [6, 13, 14, 19].
متن کاملON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS
Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...
متن کاملBasic results on distributed order fractional hybrid differential equations with linear perturbations
In this article, we develop the distributed order fractional hybrid differential equations (DOFHDEs) with linear perturbations involving the fractional Riemann-Liouville derivative of order $0 < q < 1$ with respect to a nonnegative density function. Furthermore, an existence theorem for the fractional hybrid differential equations of distributed order is proved under the mixed $varphi$-Lipschit...
متن کامل