The laplace equation

The aim of the present paper is to consider solvability and solution of a system of dual integral equations involving Fourier transforms occurring in mixed boundary value problems for Laplace equation. The uniqueness and existence theorems are proved. A method for reducing system of dual equations to a system of Fredholm integral equations of second kind is also proposed.
6p doctorstrange1 21062018 25 1 Download

(bq) part 1 book "partial differential equations in action" has contents: introduction, diffusion, the laplace equation, scalar conservation laws and first order equations, waves and vibrations.
315p bautroibinhyen20 06032017 34 4 Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article A Remark on the Blowup of Solutions to the Laplace Equations with Nonlinear Dynamical Boundary Conditions
11p sting06 13022012 44 5 Download

(bq) part 2 book "a first course in differential equations" has contents: modeling with higher order differential equations, modeling with higher order differential equations, the laplace transform, systems of linear first order differential equations, numerical solutions of ordinary differential equations.
229p bautroibinhyen19 02032017 39 3 Download

In this volume we give some examples of the elementary part of the theory of the Laplace transformation as described in Ventus, Complex Functions Theory a4, The Laplace Transformation I. The chapters and the sections will follow the same structure as in the above mentioned book on the theory.
131p tuanloc_do 03122012 35 1 Download

(bq) part 1 book "advanced engineering mathematics" has contents: linear second order equations, first order differential equations, the laplace transform, series solutions, approximation of solutions, vectors and vector spaces, matrices and linear systems,... and other contents.
445p bautroibinhyen20 06032017 39 6 Download

part 2 book “mathematics for engineers” has contents: matrices and determinants, using matrices and determinants to solve equations, vectors, differentiation, techniques and applications of differentiation, integration, applications of integration, differential equations, the laplace transform, statistics and probability,… and other contents.
696p tieu_vu14 15082018 29 3 Download

(bq) part 2 book "a first course in differential" has contents: modeling with higher order differential equations, series solutions of linear equations, the laplace transform, systems of linear first order differential equations, numerical solutions of ordinary differential equations.
248p bautroibinhyen19 02032017 21 2 Download

part 2 book “mathematics for engineers” has contents: using matrices and determinants to solve equations, techniques and applications of differentiation, applications of integration, differential equations, the laplace transform,… and other contents.
619p tieu_vu13 06082018 33 0 Download

Finite Impulse Response Filters • • • Introduction to the ztransform Design and implementation of ﬁnite impulse response (FIR) ﬁlters Programming examples using C and TMS320C6x code The ztransform is introduced in conjunction with discretetime signals. Mapping from the splane, associated with the Laplace transform, to the zplane, associated with the ztransform, is illustrated. FIR ﬁlters are designed with the Fourier series method and implemented by programming a discrete convolution equation. Effects of window functions on the characteristics of FIR ﬁlters are covered. 4.
57p khinhkha 30072010 90 10 Download

This work is intended to survey the basic theory that underlies the multitude of parameterrich models that dominate the hydrological literature today. It is concerned with the application of the equation of continuity (which is the fundamental theorem of hydrology) in its complete form combined with a simplified representation of the principle of conservation of momentum. Since the equation of continuity can be expressed in linear form by a suitable choice of state variables and is also parameterfree, it can be readily formulated at all scales of interest.
177p kuckucucu 15052012 68 5 Download

The problem about periodic solutions for the family of linear differential equation $$ L u\equiv \left(\frac{\partial}{i\partial t}  a\Delta \right)u(x,t)=\nu G(uf)$$ is considered on the multidimensional sphere $x \in S^n$ under the periodicity condition $u_{t=0}=u_{t=b}$ and $\int_{S^n}u(x,t)dx=0.$ Here $a$ is given real, $\nu$ is a fixed complex number, $ G u(x,t) $ is a linear integral operator, and $\Delta$ is the Laplace operator on $S^n.
9p tuanlocmuido 19122012 44 2 Download

This is the eighth book containing examples from the Theory of Complex Functions. In this volume we show how we can apply the calculations of residues in connection with some classical transforms like the Laplace transform, the Mellin transform, the ztransform and the Fourier transform. I have further supplied with some examples from the Theory of Linear Difference Equations and from the Theory of Distributions, also called generalized functions.
96p tuanloc_do 03122012 52 1 Download

We have attempted to write a concise modern treatment of differential equations emphasizing applications and containing all the core parts of a course in differential equations.Asemester or quarter course in differential equations is taught to most engineering students (and many science students) at all universities, usually in the second year. Some universities have an earlier brief introduction to differential equations and others do not. Some students will have already seen some differential equations in their science classes.We do not assume any prior exposure to differential equations.
445p bachduong1311 10122012 34 1 Download

Lecture Engineering electromagnetics  Poisson’s and Laplace’s equations presents the following content: Poisson’s equation, Laplace’s equation, uniqueness theorem, examples of the solution of Laplace’s equation, examples of the solution of Poisson’s equation, product solution of Laplace’s equation, the iteration method.
48p youcanletgo_04 17012016 34 0 Download

Using a fixed point theorem, we establish the existence of a solution for a class of boundary value fractional differential equation. Secondly, we will adopt the method of successive approximations to obtain an approximate solution to our problem.
12p danhdanh27 08012019 17 0 Download

In this paper we study generalized convolution for hLaplace transform on time scale T + h and obtain some of its properties as well as applications in solving some linear equations of convolution type.
19p nguathienthan6 06072020 8 0 Download

In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme. This combination led us to a hybrid method which has been properly used to handle nonlinear and linear problems. The considered problem is used in modeling spatial effects in engineering, biology and ecology. The fractional derivative is considered in Caputo sense. The results are obtained in series form corresponding to the proposed problem of fractional order.
8p dayhoctainha 10092020 6 0 Download

We introduce several weighted Lp(R+)norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms. Some applications of these inequalities to estimate the solutions of some partial differential equations are considered.
14p tamynhan9 02122020 7 0 Download

In this paper, we study four cases of the Toeplitz plus Hankel integro  differential equations and general integro  differential equation. These equations can be solved in closed form using new convolutions and wellknown convolutions. The obtained results were the expansions of these equation types.
13p tamynhan5 10122020 1 0 Download