Uniqueness and Existence
Existence and uniqueness of algebraic function approximations
... The problem of approximating a real-valued, locally analytic function by an integral function is considered. Results are obtained for the existence, uniqueness and order of approximation for both 'normal' ...
33
Existence and uniqueness for a class of iterative fractional differential equations
... the existence and uniqueness of solutions for general iterative fractional differential ...the existence and uniqueness of solutions for the initial value ...
13
The Existence and Uniqueness of Solutions for Mean Reverting γ Process
... In this article, we proved the existence and uniqueness of the solution of Equa- tion (1.1) when γ ≥ 1 . And we get the existence and non-negative of the solu- tion of Equation (1.1) when γ ∈ [ 1 2,1 ...
7
On the existence and uniqueness of estimates in robust and heteroscedastic regression models
... the uniqueness problems that can arise when using redescending M -estim ators for linear regression ...location-scatter existence and uniqueness results of Kent and Tyler (1991) to be applied in the ...
91
Existence and Uniqueness of the Navier-Stokes Problem for Compressible Flows
... global existence, uniqueness and smoothness of the Navier-Stokes problem for compressible ...of existence of solution given in [3] by using the energy conservation law for the external and internal ...
6
Existence and Uniqueness of a Minimum Crisp Boolean Petri Net
... the existence of 1-safe Petri nets that generate all the binary n-vectors exactly once as marking vectors keeping the depth of the reachability tree minimum ...the existence of such a Petri net in this ...
7
Local existence and uniqueness of solutions of a degenerate parabolic system
... local existence of solutions to the Dirichlet initial boundary value ...the uniqueness of the solution if the reaction terms satisfy the Lipschitz ...
11
Existence and uniqueness results for fractional differential equations with uncertainty
... In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo’s H-differentiability. To this end, the concept of ...
12
Existence and uniqueness of the solution of fractional damped dynamical systems
... the existence and uniqueness of the solution of fractional damped dynamical ...the existence of the solutions are derived from the application of fixed point theorems and inequalities such as the ...
14
Existence and uniqueness of the solution to a coupled fractional diffusion system
... In this paper, we consider the initial boundary value problem for a coupled fractional diffusion system. By using eigenfunction expansions and a priori estimates, we establish the existence and uniqueness of ...
14
Existence and uniqueness of equilibrium states of a rotating elastic rod
... On the other hand, this work is concerned with the existence and uniqueness of solution of the equilibrium equation when a # 0 and in particular in the computations of a critical value ’[r] ...
8
Existence and uniqueness theorem for a solution of fuzzy differential equations
... has a solution provided f is continuous and satisfies a Lipschitz condition by C. Corduneanu [2]. The definition given here generalizes that of Aumann [1] for set- valued mappings. Kaleva [3] discussed the properties of ...
9
Existence and uniqueness result for a class of mixed variational problems
... Our aim in this paper is to investigate the existence and uniqueness result for a class of mixed variational problems. They are governed by two variational inequalities. By applying the saddle-point theory, ...
16
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... In this paper, motivated by [1-28] (especially the estimating approaches given in [11, 12, 15, 24, 26]), we investigate the existence and uniqueness of mild solution of the equation (1.1) in a Banach space ...
6
Existence and uniqueness of solutions for random impulsive differential equation
... the existence and uniqueness of random impulsive differential system by relaxing the linear growth conditions, sufficient conditions for stability through continuous dependence on initial conditions and ...
6
On the existence and uniqueness of the eigenvalue decomposition of a parahermitian matrix
... hermitian matrix EVD (PhEVD). If it exists, the matrix of eigen- values, Γ(z) , is parahermitian and a Laurent series; the eigen- vectors in U(z) may exist as Laurent series, and, if causal, may even be power series. ...
14
Existence and Uniqueness of Proper Scoring Rules
... Proper scoring rules have attracted a lot of interest in recent years in disparate fields such as statistics, decision theory, machine learning, game theory, finance, meteorology, etc. They provide practical measures for ...
24
Existence and uniqueness of collocating algebraic function approximations
... The problem of approximating a real-valued function by an algebraic function, where the approximation is determined by collocation at a sufficient number of distinct nodes, is considered. Results are obtained for the ...
27
Existence and uniqueness of solutions of Hahn difference equations
... The aim of this paper is to establish an existence and uniqueness result of solutions of the first order abstract Hahn difference equations by using the method of successive ap- proximations. This method is a ...
15
A note on the existence and uniqueness of the solutions to SFDES
... BC(( −∞ , 0]; R d ) − value random variable such that ξ ∈ M 2 (( −∞ , 0]; R d ). (1:3) Following this way, now we recall the existence and uniqueness of the solutions to the Equation 1.2 with initial data ...
11