Conditions for the oscillation of the solutions of nonlinear impulsive delay ลฝ differential equations are found. The results given by D. D.
Oscillation for solutions of nonlinear neutral differential equations with impulses
โ Scribed by Zhiguo Luo; Jianhua Shen
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 467 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
This
paper is concerned with nonlinear neutral differential equations with impulses of the form
1,2,.... Some oscillation criteria for solutions of this equation are established. An interesting example is also given, which illustrates that impulses play an important role in giving rise to the oscillation of equations.
๐ SIMILAR VOLUMES
The present paper is devoted to the investigation of the oscillatory behavior of a kind of extensively studied second-order nonlinear delay differential equations with impulses. Some interesting results are obtained, which illustrate that impulses play a very important role in giving rise to the osc
In this paper, effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form are established. Our results reveal the fact that the oscillatory properties of all solutions of Eqs. \* and \* \* may be caused by the impulsive perturb
extend some results in the literature concerning sufficient conditions for oscillation of all solutions of a class of first-order neutral delay differential equations with variable coefficients and delays.
Some Riccati type difference inequalities are given for the second-order nonlinear difference equations with nonlinear neutral term A(anA(Xn -4-~(vt, xr,.))) + qnf(xg,.) = 0 and using these inequalities, we obtain some oscillation criteria for the above equation. (~) 2001 Elsevier Science Ltd. All r