Natural Science 1.0

In this paper, we study the Robin-Dirchlet problem (Pn) for a wave equation with the
term
1
n
Xn
i=1
u2( i−1
n , t), n ∈ N. First, for each n ∈ N, under suitable conditions, we prove
the local existence and uniqueness of the weak solution un of (Pn). Next, we prove that
the sequence of solutions ...

The report deals with the Robin problem for a nonlinear wave equation with viscoelastic
term. Under some suitable conditions, we establish a high-order iterative scheme and
then prove that the scheme converges to the weak solution of the original problem along
with the error estimate. This result extends the result in [9].

In this paper, we consider the Dirichlet problem for a wave equation of Kirchhoff-
Carrier type with a nonlinear viscoelastic term. It consists of two main parts. In Part
1, we establish existence and uniqueness of a weak solution by applying the Faedo-
Galerkin method and the standard arguments of density corresponding to ...

In the current work, we study a Cauchy problem for a time-fractional pseudo-parabolic
equation with a globally Lipschitz source term. We prove the unique existence of a mild
solution to the problem, by the common Banach fixed point theorem. This solution is
then verified that exists globally in time by Gr¨onwall’s inequality. Compare ...

In this work, we focus on investigating ill-posed problems (according to the definition
given by Hadamard) in the topic of its application. Specifically, we present some theories
about the properties of the ill-posed problem in image processing. By using discrete
Fourier transform and fast Fourier transform methods, we present several results on
image processing ...

This paper is devoted to the study of a Kirchhoff wave equation with a viscoelastic
term in an annular associated with homogeneous Dirichlet conditions. At first, by
applying the Faedo-Galerkin, we prove existence and uniqueness of the solution of the
problem considered. Next, by constructing Lyapunov functional, we establish a sufficient
condition such that ...

In this paper, the Neumann-Dirichlet boundary problem for a system of nonlinear viscoelastic
equations of Kirchhoff type with Balakrishnan-Taylor term is considered. At
first, a local existence is established by the linear approximation together with the Faedo-
Galerkin method. Then, by establishing several reasonable conditions and suitable energy
inequalities, the solution of the problem ...

In this paper, we consider the Robin-Dirichlet problem for a system of nonlinear pseudoparabolic
equations with viscoelastic term. By the Faedo-Galerkin method, we first prove
the existence and uniqueness of solution for the problem. Next, we give a sufficient condition
to get the global existence and decay of the weak solution. Finally, by ...

Selecting wastewater treatment technology is not an easy matter. In this study, TOPSIS and AHP methods are used to support decision-making in choosing a wastewater treatment alternative for Poong In Vina factory. A total of 9 criteria belonging to 3 groups of economic, social - technical and environmental issues were ...

subjects in many countries and the treatment of breeding waste has to be taken as a priority. Nowadays, biogas technology sets up and operates primarily to treat breeding waste. However, this technology formed a considerable amount of wastewater the effluent quality is still poor and the concentration of pollutants is ...

The objective of this study was to determine iodine levels in soils, grains, and goitrogenic content of common grains across zones of Sokoto state, Nigeria using standard methods and reagents of analytical grade. Obtained data were subjected to descriptive and ANOVA statistics. The Western zone has highest iodine (29±0.01ppm), followed ...

Based on research methods such as methods such as data collection and processing, air quality index calculation methods, public health risk assessment methods to assess air quality and effects of substances on the health of people in Di An city. The data for the calculation are inherited from the environmental ...