scholarly journals Asymptotic behaviour of solutions of third order nonlinear difference equations of neutral type

2008 ◽  
Vol 133 (3) ◽  
pp. 247-258
Author(s):  
Anna Andruch-Sobiło ◽  
Andrzej Drozdowicz
Keyword(s):  
Asymptotic Behaviour ◽  
Difference Equations ◽  
Neutral Type ◽  
Nonlinear Difference Equations ◽  
Third Order ◽  
Asymptotic Behaviour Of Solutions

scholarly journals Oscillatory and asymptotic behaviour of second order nonlinear difference equations

1996 ◽  
Vol 39 (3) ◽  
pp. 525-533 ◽  
Author(s):  
Bing Liu ◽  
Jurang Yan
Keyword(s):  
Asymptotic Behaviour ◽  
Difference Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Nonlinear Difference Equations ◽  
Nonoscillatory Solutions ◽  
Asymptotic Behaviour Of Solutions ◽  
All Solutions ◽  
Image Position

In this paper we are dealing with oscillatory and asymptotic behaviour of solutions of second order nonlinear difference equations of the formSome sufficient conditions for all solutions of (E) to be oscillatory are obtained. Asymptotic behaviour of nonoscillatory solutions of (E) is considered also.

On the oscillation of third order nonlinear difference equations

2009 ◽  
Vol 32 (1) ◽  
pp. 189-203 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Said R. Grace ◽  
Patricia J. Y. Wong
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order

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 Oscillation criteria for certain third order nonlinear difference equations

2009 ◽  
Vol 3 (1) ◽  
pp. 27-38 ◽  
Author(s):  
Said Grace ◽  
Ravi Agarwal ◽  
John Graef
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order ◽  
Oscillation Criteria ◽  
All Solutions ◽  
New Criteria

Some new criteria for the oscillation of all solutions of third order nonlinear difference equations of the form ? (a(n)(?2 x(n))? + q(n)f (x[g(n)]) = 0 and ? (a(n)(?2 x(n))? = q(n)f (x[g(n)]) + p(n)h(x[?(n)]) ? -1/? with P a (n) < ? are established.

Sign in / Sign up

Export Citation Format

Share Document