## Abstract We prove some comparison results for the periodic boundary value problem related to a firstβorder functional differential equation of advanced type. These maximum principles provide uniqueness results for nonlinear differential equations with advanced arguments. By a change of variable,
Systems of Differential Equations of Alternately Retarded and Advanced Type
β Scribed by I.W Rodrigues
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 168 KB
- Volume
- 209
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
The main purpose of this paper is to study oscillatory and stability properties of linear systems of differential equations with piecewise constant argument in which the argument has a fixed point in each interval of a certain length. The results obtained solve a problem proposed by I. Gyori and G. Ladas.
π SIMILAR VOLUMES
Sufficient conditions are established for the oscillations of systems of hyperbolic differential equations of the form 2 d Ε½ . . where β is a bounded domain in R n with a piecewise smooth boundary Ρ¨ β, and β¬ is the Laplacian in Euclidean n-space R n .
Consider the nonlinear neutral delay differential equation with P(t), Q ( t ) continuous, T > 0, a 2 0. We obtain new suflicient conditions for the oscillation of all solutions by an associate linear equation, and thereby establish some new criteria as proposed in an earlier open problem. ') Resea