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

Znaleziono wyników: 5

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

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
Graef J. R., Tunc E., Grace S. R.
Opuscula Mathematica
|
2017
|
Vol. 37, no. 6
839--852
EN
This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.
2
Content available Oscillation criteria for third order nonlinear delay differential equations with damping
Grace S. R.
Opuscula Mathematica
|
2015
|
Vol. 35, no. 4
485--497
EN
This note is concerned with the oscillation of third order nonlinear delay differential equations of the form (r2(t) (r1(t)y'(t))')' +p(t)y'(t) + q(t)ƒ(y(g(t))) = 0. (*) In the papers [A.Tiryaki, M.F. Aktas, Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping, J. Math. Anal. Appl. 325 (2007), 54-68] and [M.F. Aktas, A. Tiryaki, A. Zafer, Oscillation criteria for third order nonlinear-functional differential equations, Applied Math. Letters 23 (2010), 756-762], the authors established some sufficient conditions which insure that any solution of equation (*) oscillates or converges to zero, provided that the second order equation (r2(t)z'(t))' + (p(t)/r1(t))z(t) =0 (**) is nonoscillatory. Here, we shall improve and unify the results given in the above mentioned papers and present some new sufficient conditions which insure that any solution of equation (*) oscillates if equation (**) is nonoscillatory. We also establish results for the oscillation of equation (*) when equation (**) is oscillatory.
3
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]
4
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.
5
Oscillation criteria of comparison type for second order deifference equations
Grace S. R., El-Morshedy H. A.
Journal of Applied Analysis
|
2000
|
Vol. 6, nr 1
87-103
EN
In this paper we investigate the oscillatory character of the second order nonlinear difference equations of the forms (wzór) n = 1,2, ... and the corresponding nonhomogeneous equation (wzór) n= 1,2,... via comparison with certain second order linear difference equations where the function f is not necessarily monotonic. The results of this paper are essentially new and can be extended to more general equations.
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.