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A boundary value problem for Bitsadze equation in matrix form
Q-Holomorphic Bitsadze equation
2011/4/6
In this work, we investigate the solvability of the problem \frac{\partial2w}{\partial \overlinef 2}=f Re\{if(z)w(z)\}=g1(z),Rew\overlinef(z)=g2(z) z \in \partial D in the unit disk of complex plane. ...
The real estate credit risk based on the value model with jump and stochastic interests
Asset model with jump Volatility Default probability
2010/9/21
This paper is to assess the real estate credit risk with the help of the value model with jump and stochastic interests. Using the value obeying a stochastic jump-diffusion process, applying the Ito t...
On a conjecture for a sixth order overdetermined elliptic boundary value problem
Overdetermined elliptic problems triharmonic operator
2010/9/20
In this note, we prove the conjecture of Payne and Schaefer [2], regarding an overdetermined boundary value problem for the triharmonic operator, Δ3 = ΔΔΔ. It is deduced that if a solution of the prob...
The mixed boundary value problem for semilinear elliptic equation in domains with edges
mixed boundary value problem domain with edges
2010/9/25
In this paper, we prove the existence and uniqueness of generalized solution of the mixed boundary value problem for semilinear elliptic equation in domains with edges. In addition, some results on sm...
Existence and approximation of solutions for nonlocal boundary value problems with mixed nonlinearities
Quasilinearization three-point boundary value problem
2010/9/20
In this paper, we study a second-order boundary value problem involving mixed nonlinearities in the differential equation and nonlinear nonlocal general three-point boundary conditions. We develop a g...
Henselian valued quasilocal fields with totally indivisible value groups, II
Henselian valued quasilocal fields value groups, II
2010/11/18
This paper characterizes the quasilocal fields from the class of Henselian valued fields with totally indivisible value groups, over which there exist finite separable extensions of nontrivial defect...
Minimizing Communication for Eigenproblems and the Singular Value Decomposition
Minimizing Communication Eigenproblems the Singular Value Decomposition
2010/11/19
Algorithms have two costs: arithmetic and communication. The latter represents the cost of moving data, either between levels of a memory hierarchy, or between processors over a network. Communicatio...
Solving a nonlinear system of second order two-point boundary value problem
Nonlinear second-order differential system Reproducing kernel space Two-point boundary problem
2010/9/13
In this paper, we give a new method to solve a nonlinear system of second order two-point boundary value problem. Its exact solutions are represented in the form of series in the reproducing kernel sp...
Periodic boundary value problem for second order ordinary differential equations
Boundary value problems periodic solution
2010/9/10
In this paper we study the periodic boundary value problem for a nonlinear ordinary differential equation of second order. We give sufficient and necessary conditions for the existence of periodic sol...
Triple positive solutions of four-point singular boundary value problems for p-Laplacian dynamic equations on time scales
Time scales Four-point singular boundary value problems
2010/9/15
Let T be a time scale. We study the existence of three positive solutions for the nonlinear four-point singular boundary value problem with p-Laplacian operator on time scales. Some new results are ob...
Nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives
Time scale Positive solutions Higher order multi-point boundary
2010/9/15
In this paper, we consider the existence of nontrivial solutions for nonlinear higher order multi-point boundary value problem on time scales with all derivatives. In the case where a nonlinearity may...
Homotopy perturbation method for computing eigenelements of Sturm-Liouville two point boundary value problems
Homotopy Perturbation Method Sturm-Liouville problem
2010/9/14
In this work we consider the application of the Homotopy Perturbation Method (HPM) to compute the eigenvalues and the corresponding normalized eigenfunction of Sturm-Liouville problem. To illustrate t...
Numerical solution of two-point boundary value problem in linear differential equation
Differential equation Legendre polynomials
2010/9/14
A numerical method for solving linear differential equation with twopoint boundary value condition is presented. The method is based upon function approximations.The properties of Legendre polynomials...
An algorithm for solving initial value problems using Laplace Adomian decomposition method
Laplace Adomian decomposition method Initial value problems Symbolic computation
2010/9/14
In this paper, we present a symbolic algorithm for solving a class of nth order linear or nonlinear ordinary differential equations with initial conditions. This algorithm is based on Laplace Adomian ...
Spline collocation approach for the numerical solution of a generalized system of second-order boundary-value problems
Spline method Finite element
2010/9/15
In this paper, a spline finite element approach is manipulated for the numerical solution of an extended system of second-order boundaryvalue problems. The efficiency of the proposed method is examine...