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Vol 52, No 2 (2017)
- Year: 2017
- Articles: 6
- URL: https://journals.rcsi.science/1068-3623/issue/view/14068
Differential Equations
Dirichlet and Neumann problems for Poisson equation in half lens
Abstract
In this article, the Green and Neumann functions are given for a half lens and the Dirichlet and Neumann problems for Poisson equation are solved. All formulas are given in explicit form.
61-69
Functional Analysis
70-73
Geometry
On regular tangent cones
Abstract
The paper contains a sufficient condition for an intersection of regular tangent cones to be a tangent cone. Regular tangent cones and tents for sets given by locally Lipschitz functions are constructed. The cones are described in terms of generalized K-derivatives.
74-80
Real and Complex Analysis
Further results on uniqueness of derivatives of meromorphic functions sharing three sets
Abstract
In this paper we prove some uniqueness theorems concerning the derivatives of meromorphic functions when they share three sets. The obtained results improve some recent existing results.
81-91
92-101
Results on uniqueness of entire functions whose difference polynomials share a polynomial
Abstract
In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial or a small function with a finite weight.We also investigate the situation when the original functions share 0 CM. The obtained results improve some recent related results of X. Li et al. [Ann. Polon. Math, 102 (2011), 111-127] and that of W. Li et al. [Bull. Malay. Math. Sci. Soc., 39 (2016), 499-515].
102-110