Functional Equations

In this study, the Ritz variational method is used to analyze and solve the bending problem of rectangular functionally graded material plate with general boundary conditions and subject to some types of load distribution over the entire plate domain. Based on the Kirchoff plate theory, the equilibrium equations are obtained by minimizing the total potential energy.

12p viyoko 24-09-2024 2 1   Download

This study investigates the bending behaviour and free vibration response of a rectangular sandwich plate with auxetic honeycomb core and functionally graded material (FGM) face sheets. Governing equations are established from Hamilton’s principle in the framework of the first-order deformation theory (FSDT).

11p vifaye 20-09-2024 5 1   Download

Organizational behavior plays a crucial role in effective management. However, there is limited research on organizational behaviors in road usage charging management. This study aims to address this gap by identifying six dimensions of organizational behavior through focus group studies. Questionnaires were administered to 138 professionals in Vietnam, and the data were analyzed using structural equation modeling.

11p vifaye 20-09-2024 1 1   Download

In this work, the free vibration analysis of Timoshenko microbeams made of the Functionally Graded Material (FGM) on the Winkler–Paternak elastic foundation based on the Modified Coupled Stress Theory (MCST) is investigated. Material characteristics of the beam vary throughout the thickness according to the power distribution and are estimated though Mori–Tanaka, Hashin–Shtrikman and Voigt homogenization techniques.

13p dianmotminh02 03-05-2024 9 3   Download

Managerial Economics - Homework 2: Optimal decisions using marginal analysis provide students with knowledge about compute average total cost (C/Q) and marginal cost for the following cost functions; compute the derivatives of the following functions; compute the appropriate partial derivatives for the following functions;...

5p flynn_beret 03-04-2022 22 1   Download

Purpose: Study the existence of inertial manifolds and the asymptotic behavior of solutions to certain classes of evolution equations in an infinite-dimensional Banach space. The evolution equations considered with the linear parts is the generator of a semigroup and the Lipschitz coefficient of the nonlinear term may depend on time and belongs to admissible function spaces which contain wide classes of function spaces like Lp-spaces, the Lorentz spaces Lp,q and many other function spaces occurring in interpolation theory.

27p tunelove 10-06-2021 22 3   Download

The objective of the thesis is to develop the iterative method and combining it with other methods to study qualitative and especially the method of solving some two-point boundary problems for the fourth-order differential equations and systems, arising in beam bending theory without using condition of growth rate at infinity, Nagumo condition, etc. of the right-hand side function.

27p capheviahe27 23-02-2021 12 5   Download

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 29 3   Download

Convolutions with a class of weight function for the Fourier cosine integral transform in the spaces Lp a,B(R) are studied. Existence conditions for these convolutions, a Young’s type theorem and a Parseval type equality are obtained. Applications to solve a class of the integral equations and systems of integral equations with function coefficiences are considered.

11p larachdumlanat127 20-12-2020 12 1   Download

We will show that Schrodinger equations for low-dimensional systems can be solved by the method of quantum Diffusion Monte Carlo (DMC). The wave function and energy in a ground state are found for the two-dimensional harmonic oscillator, quantum wells, quantum wires and quantum dots. This is great approach for problems of low-dimensional systems. In this paper, the sign of the wave function is not treated.

7p tamynhan5 10-12-2020 16 2   Download

The analytical expressions for the wave functions of two-component Bose-Einstein Condensates are derived by means of the Gross-Pitaevskii equations in linear approximation. Based on the Bernoulli equation the shape of the interface and the dispersion relations for both phonon and ripplonare studied.

6p tamynhan5 10-12-2020 13 1   Download

In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general nonlocal derivatives. Instead of Mittag-Leffler functions, we must utilize the characterization of relaxation function.

7p tamynhan5 10-12-2020 15 2   Download

In this paper, we will extend the result of Farina to the general case a0 and look for the effect of the degeneracy on the range of the exponent p on Liouville-type theorem. It seems that the presence of the weight term |x|a makes the problem more challenging. The main difficulty is that the Grushin operator is nonautonomous. This requires suitable scaled test functions in the integral estimate.

11p tamynhan9 02-12-2020 14 1   Download

In this paper, we establish several properties in a two parametric family of Lebesgue spaces for certain convolution related to the Fourier sine and Kontorovich - Lebedev integral transformations. Norm estimations in the weighted Lp - spaces and applications to solve a class of the integral equations and systems of integral equations are obtained.

11p tamynhan8 04-11-2020 13 1   Download

In this work, in the framework of density functional theory, we study the electronic thermal conductivity of the compound by employing the solution of Boltzmann Transport Equation in a constant relaxationtime approximation. The results show that the electronic thermal conductivity drastically increases with the increase of temperature and carrier concentration which have a detrimental effect on the thermoelectric performance.

7p tamynhan6 14-09-2020 10 3   Download

In this paper, we investigate the existence, uniqueness and stability of periodic solution of new integro-differential equations depended on special function with singular kernels.

15p lucastanguyen 01-06-2020 13 1   Download

This work considers the generation of ordinary differential equations whose solutions are the probability functions of wrapped exponential distribution. This will help in understanding the nature of exponential distribution when wrapped in a circle.

13p lucastanguyen 01-06-2020 8 1   Download

The infinite system of differential equations for the nonequilibrium Green functions of electrons in a single-level quantum dot connected with two conducting leads is truncated by applying the mean-field approximation to the mean values of the products of four operators. As the result the system of Dyson equations for the two-point real-time nonequilibrium Green functions in the Keldysh formalism as well as that of the two-point imaginary-time Green functions are derived.

13p 12120609 01-06-2020 17 1   Download

This work shows a free-body model for tolerance analysis, that uses the force free-body diagrams and the functional equations’ sensitivities, by simulating the geometrical tolerances together with the dimensional ones.

12p tohitohi 19-05-2020 9 2   Download

This article introduces a new resilience factor which is a function of energy dissipation factors of input seismic energy. Mathematical equations are presented for this factor and its limits are determined for different periods. The applicability of the proposed factor is also investigated for two typical structural examples.

10p tohitohi 19-05-2020 12 0   Download