boundary condition

n. Mathematics

An equation that specifies the behavior of the solution to a system of differential equations at the boundary of its domain.

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Noun

boundary condition - (mathematics) a condition specified for the solution to a set of differential equations

math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

precondition, stipulation, condition - an assumption on which rests the validity or effect of something else

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References in periodicals archive

We study third-order three-point boundary value problem

Green's Function and Existence of a Unique Solution for a Third-Order Three-Point Boundary Value Problem

The Boundary Value Problem in the Convex and Convex-Concave Case with 0 < [beta] < 1

On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium

Su, "New uniqueness results for boundary value problem of fractional differential equation," Nonlinear Analysis: Modelling and Control, vol.

Positive Solutions for a System of Fractional Differential Equations with Two Parameters

Next, Green's function for integral boundary value problem (1)-(2) is derived and the properties of Green's function are concluded.

Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation

The boundary value problem (BVP) (1.1) usually describes the equilibrium state of the deformation of an elastic beam with supported ends.

EIGENFUNCTION EXPANSION METHOD FOR MULTIPLE SOLUTIONS OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH CUBIC POLYNOMIAL NONLINEARITY

In this section, we define a new inner product to determine the solution which satisfies the initial boundary value problem. The missing of such an inner product makes the space-time fractional initial and boundary value problems open problems.

The Solution of Initial Boundary Value Problem with Time and Space-Fractional Diffusion Equation via a Novel Inner Product

Consider the process of solving boundaryvalue problems using RBFNs using an example of the boundary value problem, given in the following operator form:

Efficient Solving of Boundary Value Problems Using Radial Basis Function Networks Learned by Trust Region Method

We consider nonlocal singularly perturbed boundary value problem

Numerical treatment of nonlocal boundary value problem with layer behaviour

In this paper we prove an existence and uniqueness criterion for the solution of nonhomogenous boundary value problem of sequential fractional differential equations of the form

AN EXISTENCE AND UNIQUENESS RESULT FOR LINEAR SEQUENTIAL FRACTIONAL BOUNDARY VALUE PROBLEMS (BVPS) VIA LYAPUNOV TYPE INEQUALITY

Motivated greatly by the above-mentioned works, in this paper, we study the following boundary value problem (BVP for short) of nonlinear fractional differential equation with fractional integral BCs as well as integer and fractional derivative

Existence and Uniqueness of Solutions for BVP of Nonlinear Fractional Differential Equation

In this study we proposed a method of analytical solution for boundary value problem of stress-strain state of the bending of an infinite plate with a rigid cross-shaped embedment.

Modelling and solution of contact problem for infinite plate and cross-shaped embedment