PL
 |
EN
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 13

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  nonoscillation
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations
Ishibashi Kazuki
Opuscula Mathematica
|
2024
|
Vol. 44, no. 5
727--748
EN
In this study, we addressed the nonoscillation of the Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type nonoscillation theorem was established to be applied to such equations. Using this theorem, we provided a sharp nonoscillation condition that guarantees that all nontrivial solutions to Euler-type conformable linear equations do not oscillate. The main nonoscillation theorems can be proven by introducing a Riccati inequality, which corresponds to the conformable linear equation of the Sturm-Liouville type.
2
Content available Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations
Ishibashi Kazuki
Opuscula Mathematica
|
2023
|
Vol. 43, no. 1
67--79
EN
The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using the conformable derivative of control theory. The proof of the nonoscillation theorem utilizes the Riccati inequality corresponding to the equation considered. The provided nonoscillation theorem gives the nonoscillatory condition for a damped Euler-type differential equation with a PD controller. Moreover, the nonoscillation of the equation with a PD controller that can generalize Whittaker-Hill-type equations is also considered in this paper. The Whittaker-Hill-type equation considered in this study also includes the Mathieu-type equation. As a subtopic of this work, we consider the nonoscillation of Mathieu-type equations with a PD controller while making full use of numerical simulations.
3
Content available Asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations
Bohner M., Grace S., Sultana N.
Opuscula Mathematica
|
2014
|
Vol. 34, no. 1
5--14
EN
In this paper, we establish some new criteria on the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations on time scales.
4
Property (B) and oscillation of third-order differential equations with mixed arguments
Dzurina J, Baculikova B
Journal of Applied Analysis
|
2013
|
Vol. 19, nr 1
55--68
EN
In the paper we present sufficient conditions for property (B) and the oscillation of the third-order nonlinear functional differential equation with mixed arguments [α(t)[x(t)] γ]’=q(t)f(x[τ(t)])+p(t)h(x[σ(t)]), where ∫∞α-1/γ(s)ds=∞. We deduce properties of the studied equations by establishing new comparison theorems so that property (B) and the oscillation are resulted from the oscillation of suitable first order equations.
5
Content available remote Oscillation properties of a class of nonlinear differential equations of neutral type
Tripathy A. K., Rao K V V S
Fasciculi Mathematici
|
2012
|
Nr 48
129--144
EN
Oscillatory and asymptotic behaviour of the solutions of a class of nonlinear rst order neutral delay dierential equa- tions with positive and negative coecients of the form E1 ...[wzór] are studied under various ranges of p(t). Sufficient conditions are obtained for the existence of positive bounded solution of (E2).
6
Content available remote Oscillation properties of a class of neutral differential equations with positive and negative coefficients
Tripathy A. K.
Fasciculi Mathematici
|
2010
|
Nr 45
133-155
EN
In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear neutral delay differential equations of the form (E) ...[wzór] and ...[wzór] are studied under the assumptions ...[wzór] and ...[wzór] for various ranges of p(t). Sufficient conditions are obtained for existence of bounded positive solutions of (E).
7
Content available remote Oscillation criteria for third order nonlinear difference equations
Grace S. R., Agarwal R. P., Aktas M. F.
Fasciculi Mathematici
|
2009
|
Nr 42
39-51
EN
We shall establish some new criteria for the oscillation of third order nonlinear difference equations of the form ...[wzór]
8
Content available remote Oscillation and non-oscillation of neutral difference equations of first order with positive and negative coefficients
Rath R., Padhy L. N., Misra N.
Fasciculi Mathematici
|
2007
|
Nr 37
57-65
EN
In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NODE) where different symbols have there usual meaning, oscillates or tends to zero as n → infin for different ranges of {pn}- This paper generalizes some recent work. The results of this paper hold for linear, sublinear or super linear equations and also for homogeneous equations, i.e. when fn equiv 0.
9
Content available remote On the oscillation of certain advanced functional differential equations using comparison methods
Agarwal R. P., Grace S. R., O'Regan D.
Fasciculi Mathematici
|
2005
|
Nr 35
5-22
EN
Some new criteria for the oscillation of advanced functional differential equations of the form are presented in this paper. A discussion of neutral equations will also be included.
10
Content available remote Necessary and sufficient conditions for oscillation of solutions of a first order forced nonlinear difference equation with several delays
Rath R. N., Padhy L. N.
Fasciculi Mathematici
|
2005
|
Nr 35
99-113
EN
In this paper necessary and sufficient conditions have been obtained so that every solution of the Neutral Delay Difference Equation (NDDE) oscillates or tends to zero as n —> &infin for different ranges of This paper improves and generalizes some recent work [2. 6, 8]. The results of this paper hold for linear, sublinear and superlinear equations and also for homogeneous equations, i.e. when fn ≡ 0.
11
Content available remote Necessary and sufficient conditions for the solutions of second order neutral differential equations to be oscillatory of tending to zero
Padhi S., Kar P. K., Nayak S. K.
Fasciculi Mathematici
|
2004
|
Nr 34
73-83
EN
In this paper, necessary and sufficient conditions have been obtained for a class of forced superlinear second order neutral differential equations of Emden-Fowler type such that every solution of the equation is either oscillatory or tends to zero as t -> niekończoność
12
Content available remote Bounded oscillation for a class of even order neutral difference equations
Lin X., Shen J.
Fasciculi Mathematici
|
2002
|
Nr 33
37-47
EN
We investigate bounded oscillation for the even order neutral delay difference equation delta'' (x(n) -cx(n-m) = pn(x-k), where u is even. The sufficient conditions obtained in this paper improve and generalize the results in related literature.
13
Content available remote Existence of nonoscillatory solution for linear neutral delay equation
Kulenovic M. R. S., Hadziomerspahic S.
Fasciculi Mathematici
|
2001
|
Nr 32
61-72
EN
Consider the neutral delay differential equation with positive and negative coefficients (mathematical formula) where p s R and (mathematical formula) We obtain the sufficient condition for the existence of a nonoscillatory solution of the above equation to be (mathematical formula) and certain technical conditions implying thatdominates for large enough, for =-1.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.