Asymptotic Behaviour of Solutions of Functional n -th Order Differential Equations†

1978 ◽  
Vol 10 (2) ◽  
pp. 186-190 ◽  
Author(s):  
Lu-San Chen ◽  
Cheh-Chih Yeh ◽  
Jinn-Tyan Lin
Keyword(s):  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Asymptotic Behaviour Of Solutions

scholarly journals On Asymptotic Behaviour of Solutions ton-Dimensional Systems of Neutral Differential Equations

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
H. Šamajová ◽  
E. Špániková
Keyword(s):  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Differential Systems ◽  
Neutral Differential Equations ◽  
Asymptotic Behaviour Of Solutions ◽  
Functional Differential Systems ◽  
Functional Differential

This paper presents the properties and behaviour of solutions to a class ofn-dimensional functional differential systems of neutral type. Sufficient conditions for solutions to be either oscillatory, orlimt→∞yi(t)= 0, orlimt→∞|yi(t)|=∞,i=1,2,…,n, are established. One example is given.

scholarly journals Dwork’s conjecture on the logarithmic growth of solutions of p-adic differential equations

2008 ◽  
Vol 144 (2) ◽  
pp. 484-494 ◽  
Author(s):  
Yves André
Keyword(s):  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Linear Differential Equations ◽  
Asymptotic Behaviour Of Solutions ◽  
Linear Differential ◽  
Growth Of Solutions ◽  
Logarithmic Growth

AbstractThis is a study of the asymptotic behaviour of solutions of p-adic linear differential equations near the boundary of their convergence disks. We prove Dwork’s conjecture on the logarithmic growth of solutions in generic versus special disks.

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