We present sufficient conditions which guarantee that all positive solutions of some higher order rational difference equations are global asymptotically stable. The boundedness of the solutions and the existence of prime period two solutions of such equations are also investigated.
Qualitative properties of some equations related to fluid mechanics
✍ Scribed by Makram Hamouda; Jean Michel Rakotoson; Cédric Verbeke
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 209 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
We study the global existence of solutions of a family of equations related to some physical phenomena in dimension 3, including the usual incompressible Navier-Stokes equations with an external force. In the latter case of blow-up at T max an estimate of this time.
📜 SIMILAR VOLUMES
In this paper, we study the qualitative behavior of a fifth order scalar partial differential equation arising in the framework of the small amplitude motion approximation for prestressed non-linear viscoelastic materials of first grade. We establish existence, uniqueness, regularity and exponential
## a b s t r a c t The present work aims to study the stability of the following three functional equations: (r, s), and (iii) f (pr, qs) + f (ps, qr) = g(p, q) f (r, s) for all p, q, r, s ∈ (0, 1). The first functional equation arises in the characterization of symmetrically compositive sum form