We consider a special case of the problem of computing the Galois group of a system of linear ordinary differential equations Y = M Y , M ∈ C(x) n×n . We assume that C is a computable, characteristic-zero, algebraically closed constant field with a factorization algorithm. There exists a decision pr
The Intrinsicality of Lie Symmetries ofu(k)n(t) = Fn(t, un + a,…,un + b)
✍ Scribed by Zhuhan Jiang
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 240 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0022-247X
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are presented. The proofs are based on the alternative method, a connectedness result, the contraction mapping principle, and a detailed analysis of the bifurcation equation utilizing, e.g., a generalization of the mean value theorem for integrals. We shall obtain results with g bounded or unbounded
We consider the inequality u t ≥ u -1 2 x • ∇u + λu + h x t u p , for p > 1 λ ∈ , posed in N × + N ≥ 1. We show that, in certain growth conditions, there is an absence of global weak solutions.
Vapour + liquid) equilibrium data are presented for (methanol + ethyl tert-butyl ether) and (methanol + ethyl tert-butyl ether + toluene) at T = 328.15 K. The experimental results were measured by using a Boublik recirculation still. The binary results for (methanol + ethyl tert-butyl ether) and for
The activity coefficient data were reported for (water + potassium chloride + DL-valine) at T = 298.15 K and (water + sodium chloride + L-valine) at T = 308.15 K. The measurements were performed in an electrochemical cell using ion-selective electrodes. The maximum concentrations of the electrolytes