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Search Results: 1 - 10 of 376 matches for " uniqueness "
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Equivalence of Uniqueness in Law and Joint Uniqueness in Law for SDEs Driven by Poisson Processes  [PDF]
Huiyan Zhao, Chunhua Hu, Siyan Xu
Applied Mathematics (AM) , 2016, DOI: 10.4236/am.2016.78070
Abstract: We give an extension result of Watanabe’s characterization for 2-dimensional Poisson processes. By using this result, the equivalence of uniqueness in law and joint uniqueness in law is proved for one-dimensional stochastic differential equations driven by Poisson processes. After that, we give a simplified Engelbert theorem for the stochastic differential equations of this type.
Uniqueness of Meromorphic Functions Concerning Differential Monomials  [PDF]
Hui Huang, Bin Huang
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.22025
Abstract: Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions f(z) and g(z) satisfy ,where k and n are tow positive integers satisfying k ≥ 3 and n ≥ 11 , then either where c1, c2, c, are three constants, satisfying (c1 c2)n+1c>n+1=- 1 or f = tg for a constant t such that tn+1 = 1
Exponential Decay Rate of the Perturbed Energy of the Wave Equation with Zero Order Term  [PDF]
Hamchi Ilhem
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.15049
Abstract: In this paper, we consider the wave equation with zero order term. We use the compactness uniqueness argument and some result of I. Lasiecka and D. Tataru in [4] to prove, directly, the exponential decay rate of the perturbed energy.
Global Existence, Uniqueness of Weak Solutions and Determining Functionals for Nonlinear Wave Equations  [PDF]
ülkü Dinlemez
Advances in Pure Mathematics (APM) , 2013, DOI: 10.4236/apm.2013.35064

We consider the initial-boundary value problem for a nonlinear wave equation with strong structural damping and nonlinear source terms in IR. We prove the global existence and uniqueness of weak solutions of the problem and then we will study the determining modes on the phase space \"\" by using energy methods and the concept of the completeness defect.

The Matching Uniqueness of A Graphs  [PDF]
Shichang Shen
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.68109
Abstract: In the paper, We discussed the matching uniqueness of graphs with degree sequence \"\" . The necessary and sufficient conditions for\"\" and its complement are matching unique are given.
On Meromorphic Functions That Share One Small Function of Differential Polynomials with Their Derivatives  [PDF]
Harina P. Waghamore, S. Rajeshwari
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.612178
Abstract: In this paper, we study the problem of meromorphic functions that share one small function of differential polynomial with their derivatives and prove one theorem. The theorem improves the results of Jin-Dong Li and Guang-Xin Huang [1].
Strong Uniqueness
András Kroó,Allan Pinkus
Surveys in Approximation Theory , 2010,
Abstract: This is a survey on the subject of strong uniqueness in approximation theory.
Meromorphic Functions Sharing Three Values  [PDF]
Changjun Li, Limei Wang
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.26095
Abstract: In this paper, we prove a result on the uniqueness of meromorphic functions sharing three values counting multiplicity and improve a result obtained by Xiaomin Li and Hongxun Yi.
Uniqueness of Radial Solutions for Elliptic Equation Involving the Pucci Operator  [PDF]
Yong Liu
Advances in Pure Mathematics (APM) , 2012, DOI: 10.4236/apm.2012.26061
Abstract: The solution of a nonlinear elliptic equation involving Pucci maximal operator and super linear nonlinearity is studied. Uniqueness results of positive radial solutions in the annulus with Dirichlet boundary condition are obtained. The main tool is Lane-Emden transformation and Koffman type analysis. This is a generalization of the corresponding classical results involving Laplace operator.
Uniqueness of Meromorphic Functions of Differential Polynomials Sharing Two Values IM  [PDF]
Xinhua Shi
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.42005

In this paper, we shall study the uniqueness problems of meromorphic functions of differential polynomials sharing two values IM. Our results improve or generalize many previous results on value sharing of meromorphic functions.

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