dc.contributor.author |
Hasanbulli, Mustafa |
|
dc.date.accessioned |
2012-11-30T13:14:43Z |
|
dc.date.available |
2012-11-30T13:14:43Z |
|
dc.date.issued |
2010 |
|
dc.identifier.citation |
Hasanbulli, Mustafa. (2010). Asymptotic Behavior of Solutions to Nonlinear Neutral Differential Equations. Thesis (Ph.D.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus. |
en_US |
dc.identifier.uri |
http://hdl.handle.net/11129/93 |
|
dc.description |
Doctor of Philosophy in Mathematics. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2010. Supervisor: Assoc. Prof. Dr. Svitlana Rogovchenko. |
en_US |
dc.description.abstract |
In Chapter 2 of this thesis, in the first part, we deal with asymptotic behavior of nonoscillatory solutions to higher order nonlinear neutral differential equations of the form (x (t) + p (t) x (t − τ ))(n) + f (t, x (t) , x (ρ (t)) , x (t) , x (σ (t))) = 0,for n ≥ 2. We formulate sufficient conditions for all non-oscillatory solutions to behave like polynomial functions at infinity. For the higher order differential equation (x (t) + p (t) x (t − τ ))(n) + f (t, x (t) , x (ρ (t))) = 0, we provide necessary and sufficient conditions that guarantee existence of non-oscillatory
solutions with polynomial-like behavior at infinity. In Chapter 3, we look into oscillation problem of second order nonlinear neutral differential equations
r (t) ψ (x (t)) (x (t) + p (t) x (τ (t)))
+ q (t) f (x (t) , x (σ (t))) = 0
and r (t) (x (t) + p (t) x (τ (t)))
+ q (t) f (x (t) , x (σ (t))) = 0. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Eastern Mediterranean University (EMU) |
en_US |
dc.subject |
Mathematics |
en_US |
dc.subject |
Asymptotic Behavior - Oscillation - Positive Solutions - Neutral Equations |
en_US |
dc.title |
Asymptotic Behavior of Solutions to Nonlinear Neutral Differential Equations |
en_US |
dc.type |
Thesis |
en_US |