Remarks on extremal solutions of differential equations with advanced argument
β Scribed by Jan Jankowski
- Publisher
- Springer Milan
- Year
- 2006
- Tongue
- Italian
- Weight
- 116 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0009-725X
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π SIMILAR VOLUMES
The paper deals with ODEs with an advanced argument, in particular, with such equations as y (t) = (y(ΓΏt)) 1=ΓΏ , the simplest example is y (t) = y(2t). The corresponding initial-value problem with y(0) = y0 ΒΏ 0 has three types of solutions: (a) a unique analytic solution, (b) solutions of subexponen
For first-order linear impulsive differential equations with an advanced argument, various criteria for oscillation and nonoscillation of solutions of these equations are found. Some results of which improve the known theorems.
We study the existence of quasi-periodic solutions to differential equations with piecewise constant argument (EPCA, for short). It is shown that EPCA with periodic perturbations possess a quasi-periodic solution and no periodic solution. The appearance of quasi-periodic rather than periodic solutio