Results 91 to 100 of about 2,542,949 (203)

Order and hyper-order of entire solutions of linear differential equations with entire coefficients

open access: yesElectronic Journal of Differential Equations, 2003
In this paper, we investigate the growth of solutions of the differential equation $$ f^{(k)}+A_{k-1}( z)f^{( k-1) }+dots+A_{1}( z) f'+A_{0}(z) f=0, $$ where $A_{0}( z) ,dots, A_{k-1}(z)$ are entire functions with $A_{0}(z) otequiv 0$. We will show that
Benharrat Belaidi, Karima Hamani
doaj  

Entire solutions for the heat equation

open access: yesElectronic Journal of Differential Equations, 2021
Vassilis G. Papanicolaou   +2 more
doaj  

Growth of entire solutions of algebraic differential equations

open access: yesElectronic Journal of Differential Equations, 2012
In this article, by means of the normal family theory, we estimate the growth order of entire solutions of some algebraic differential equations and extend the result by Qi et al [14]. We also give some examples to show that our results occur in some
Wenjun Yuan, Yezhou Li, Jianming Lin
doaj  

Construction of entire solutions for semilinear parabolic equations

open access: yesElectronic Journal of Differential Equations, 2008
Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj  

Home - About - Disclaimer - Privacy