Asymptotic properties of the third order delay differential equations

Džurina, Jozef

doi:10.1016/0362-546x(94)00239-e

Search citation statements

Order By: Relevance

Paper Sections

Select...

Y (T) − P(t)y (T) + G(t)y(t) = 0 (3)3

T) = P(t)v(t)2

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2005

2012

Publication Types

Select...

Article6

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 26 publications

(20 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In earlier papers [6], [7], [8], [10], [14] and [17] the authors have investigated a particular case of (1), namely the ordinary differential equation (without delay)…”

Section: T) = P(t)v(t)mentioning

confidence: 99%

See 1 more Smart Citation

Comparison theorems for the third order trinomial differential equations with delay argument

Džurina

Kotorová

2009

Czech Math J

View full text Add to dashboard Cite

“…In earlier papers [6], [7], [8], [10], [14] and [17] the authors have investigated a particular case of (1), namely the ordinary differential equation (without delay)…”

Section: T) = P(t)v(t)mentioning

confidence: 99%

“…(3). We say that (1) has property (P 0 ) if every nonoscillatory solution y(t) of (1) satisfies (6).…”

Section: T) = P(t)v(t)mentioning

confidence: 99%

Comparison theorems for the third order trinomial differential equations with delay argument

Džurina

Kotorová

2009

Czech Math J

View full text Add to dashboard Cite

“…has been investigated in earlier papers [1,3,4,7,10,12,17] and [20]. In these papers the following structure of nonoscillatory solutions is presented:…”

Section: Y (T) − P(t)y (T) + G(t)y(t) = 0 (3)mentioning

confidence: 99%

“…It is known that equation (3) always has a solution satisfying (6). For the next considerations we say that (3) has property (P 0 ) if every nonoscillatory solution of (3) satisfies (6).…”

Section: Y (T) − P(t)y (T) + G(t)y(t) = 0 (3)mentioning

confidence: 99%

See 1 more Smart Citation

Asymptotic properties of trinomial delay differential equations

Džurina¹,

Kotorová²

2009

Tatra Mountains Mathematical Publications

View full text Add to dashboard Cite

ABSTRACT. New criteria for asymptotic properties of the solutions of the third order delay differential equationby transforming this equation to its binomial canonical form are presented.We consider the third order delay differential equationand the corresponding second order differential equationWe always assume thatThe particular case of (1), namely differential equation without delayhas been investigated in earlier papers [1, 3, 4, 7, 10, 12, 17] and [20]. In these papers the following structure of nonoscillatory solutions is presented:2000 M a t h e m a t i c s S u b j e c t C l a s s i f i c a t i o n: 34C10. K e y w o r d s: property (A), oscillation, delay argument.

show abstract