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Showing 1 to 20 of 164 for “"boundary value problem"”.
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A Boundary Value Problem in C2
Dirichlet's problem for a single complex variable may be stated thus: given a real valued function f which is continuous on the boundary of a region R, does there exist a function h such that it is harmonic on R, continuous in the closure of R, and assumes the values of f on the boundary?
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An initial-boundary value problem for parabolic systems
Not available
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Optimal Control for an Impedance Boundary Value Problem
We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface …
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Positive Symmetric Solutions Of A Boundary Value Problem With Dirichlet Boundary Conditions
… point theorem of function type to a second order boundary value problem with Dirichlet boundary conditions. We show the existence of positive symmetric solutions of this boundary value problem. </p>
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Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition
… the existence of and then compare smallest eigenvalues for the fractional boundary value problems D_(0^+)^α u+λ_1 p(t)u=0 and $D_(0^+)^α u+λ_2 q(t)u=0,0< t< 1, satisfying the boundary conditions when n-1<α≤ n. First, we consider the case when 0<β<n-1, satisfying u^(i) (0)=0, i=0,1,…,n-2,D_(0^+)^β …
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An application of Chebyshev polynomials to the solution of a two-dimensional elliptic boundary-value problem
… necessary to satisfy the appropriate boundary conditions for the flux and current for a typical region are developed. The resulting system of algebraic equations is solved, using the power iteration method. Since the system of equations is overdetermined, the Gram-Schmidt method of …
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Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.
Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive …
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The Mixed Boundary Value Problem Along The Line of Parabolicity for a Certain Class of Hyperbolic Partial Differential Equations
Made available in DSpace on 2014-12-09T22:17:43Z (GMT). No. of bitstreams: 1 6808242.pdf: 1871058 bytes, checksum: c11037348b3e31404683906c904eee7b (MD5) Previous issue date: 1967
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Positive Solutions, Existence Of Smallest Eigenvalues, And Comparison Of Smallest Eigenvalues Of A Fourth Order Three Point Boundary Value Problem
<p>The existence of smallest positive eigenvalues is established for the linear differential equations $u^{(4)}+\lambda_{1} q(t)u=0$ and $u^{(4)}+\lambda_{2} r(t)u=0$, $0\leq t \leq 1$, with each satisfying the boundary conditions $u(0)=u'(p)=u''(1)=u'''(1)=0$ where $1-\frac{\sqrt{3}}{3}\le p < 1$. …
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On the boundary integral equation method for the solution of some problems for inhomogeneous media / Mohammad Ivan Azis.
This thesis employs integral equation methods, or boundary element methods (BEMs), for the solution of three kinds of engineering problems associated with inhomogeneous materials or media: a class of elliptical boundary value problems (BVPs), the boundary value problem of static linear elasticity, …
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Existence of Positive Solutions to a Family of Fractional Two-Point Boundary Value Problems
… paper we will consider an nth order fractional boundary value problem with boundary conditions that include a fractional derivative at 1. We will develop properties of the Green's Function for this boundary value problem and use these properties along with the Contraction Mapping Principle, and …
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On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation
… in Chapter 1. The global solution to an initial-boundary value problem for the NLS is proved in Chapter 2. Global existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the half-line problem for the …
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On Switching Diffusions: The Feynman-Kac Formula And Near-Optimal Controls
… equations. The formulas are verified for the boundary value problem, the initial value problem, and the initial boundary value problem. Second, we show the existence of near-optimal controls for a system driven by wideband noise in the presence of regime-switching. Using a relaxed control …
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A Comparison of Two Different Methods for Solving Biharmonic Boundary Valve Problems
… solution of a two-dimensional biharmonic boundary value problem. The biharmonic equation is difficult to solve due to its existing fourth order derivatives, besides it requires more than one boundary conditions on the same part of the boundary. In this thesis, we use either a one-level or …
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Initial Value Problems for Creeping Flow of Maxwell Fluids
… the well-posedness of the resulting PDE initial-boundary value problem. This well-posedness depends on the unique solvability of an elliptic boundary value problem. We first present results for the 3D case, locally and globally in time, with sufficiently small initial data, and for a simple shear …
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A Series Solution to the Porous Medium Equation
… dry, and of semi-infinite extent. At theboundary representing a fluid source, the boundary condition isspecified as a power-law function of time. Following Barenblatt'sapproach, self-similar variables can be introduced. This reducesthe original initial-boundary value problem for the …
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A perturbation solution of linear elliptic equation
The first boundary value problem for eΔu + a(x,y,e)ux + b(x,y,e)uy +c(x,y,e)u = d(x,y,e) for small e. This problem with coefficients independent of e was treated by Norman Levinson and appeared in Annals of Mathematics, Vol. 51, No. 2, March, 1950 [TRUNCATED].
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INTERPOLATION OF RIGID-BODY MOTION AND GALERKIN METHODS FOR FLEXIBLE MULTIBODY DYNAMICS
Traditionally, flexible multibody dynamics problems are formulated as initial value problems: initial states of the system are given and solving for the equations of motion yields the dynamic response. Many practical problems, however, are boundary rather than initial value problems; two-point and …
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Experimental Study of the Displacements Caused by Cone Penetration in Sand
… solution of the complex cone penetration (CPT) boundary-value problem, it is essential to develop methods to validate those solutions experimentally. A large scale model penetrometer testing facility, consisting of a half-circular calibration chamber with digital image correlation (DIC) …
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