1,220 research outputs found
The regularity and exponential decay of solution for a linear wave equation associated with two-point boundary conditions
This paper is concerned with the existence and the regularity of global
solutions to the linear wave equation associated with two-point type boundary
conditions. We also investigate the decay properties of the global solutions to
this problem by the construction of a suitable Lyapunov functional.Comment: 18 page
University Students' Perceptions of Native and Non-Native English-Speaking Teachers in Pre-Sessional Courses in Vietnam
Research Articl
Existence, blow-up and exponential decay estimates for a nonlinear wave equation with boundary conditions of two-point type
This paper is devoted to study a nonlinear wave equation with boundary
conditions of two-point type. First, we state two local existence theorems and
under suitable conditions, we prove that any weak solutions with negative
initial energy will blow up in finite time. Next, we give a sufficient
condition to guarantee the global existence and exponential decay of weak
solutions. Finally, we present numerical resultsComment: 2
On a nonlinear heat equation associated with Dirichlet -- Robin conditions
This paper is devoted to the study of a nonlinear heat equation associated
with Dirichlet-Robin conditions. At first, we use the Faedo -- Galerkin and the
compactness method to prove existence and uniqueness results. Next, we consider
the properties of solutions. We obtain that if the initial condition is bounded
then so is the solution and we also get asymptotic behavior of solutions as.
Finally, we give numerical resultsComment: 20 page
Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
We study the initial-boundary value problem for a nonlinear wave equation
given by u_{tt}-u_{xx}+\int_{0}^{t}k(t-s)u_{xx}(s)ds+ u_{t}^{q-2}u_{t}=f(x,t,u)
, 0 < x < 1, 0 < t < T, u_{x}(0,t)=u(0,t), u_{x}(1,t)+\eta u(1,t)=g(t),
u(x,0)=\^u_{0}(x), u_{t}(x,0)={\^u}_{1}(x), where \eta \geq 0, q\geq 2 are
given constants {\^u}_{0}, {\^u}_{1}, g, k, f are given functions. In part I
under a certain local Lipschitzian condition on f, a global existence and
uniqueness theorem is proved. The proof is based on the paper [10] associated
to a contraction mapping theorem and standard arguments of density. In Part} 2,
under more restrictive conditions it is proved that the solution u(t) and its
derivative u_{x}(t) decay exponentially to 0 as t tends to infinity.Comment: 26 page
THE UNIFORM EXPONENTIAL STABILITY OF LINEAR SKEW-PRODUCT SEMIFLOWS ON REAL HILBERT SPACE
The goal of the paper is to present some characterizations for the uniform exponential stability of linear skew-product semiflows on real Hilbert space
Effects of bribery on natural resource efficiency in Vietnam: moderating effects of market competition and credit constraints
This article uses small and medium-sized enterprises’ (SMEs) survey data in Vietnam from 2007 to 2015 to examine the effects of
bribery on the natural resource efficiency of firms facing credit
constraints and market competition. We also employ the disaggregated resource intensity by water, fuel, and electricity. Creditconstrained firms are broken down into those who have had formal loan applications denied (credit rationed) and those who do
not apply for formal loans due to either the process being too
difficult or the interest rate being too high (discouraged borrowers). Applying instrumental variable method to take into
account the endogeneity problem, the empirical results provide
evidence to support the ‘sanding-the-wheels of resource efficiency’ hypothesis. Among the three natural resources, inefficiency is most evident in water consumption. Furthermore, the
effects become more sizable for micro-sized and informally registered firms since they have a lower bargaining power vis-a-vis
public officials. Credit constraints and market competition pressure can reduce a firm’s ability to use natural resources efficientl
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