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- Boundary_value_problem abstract "In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions.Boundary value problems arise in several branches of physics as any physical differential equation will have them. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. A large class of important boundary value problems are the Sturm–Liouville problems. The analysis of these problems involves the eigenfunctions of a differential operator.To be useful in applications, a boundary value problem should be well posed. This means that given the input to the problem there exists a unique solution, which depends continuously on the input. Much theoretical work in the field of partial differential equations is devoted to proving that boundary value problems arising from scientific and engineering applications are in fact well-posed. Among the earliest boundary value problems to be studied is the Dirichlet problem, of finding the harmonic functions (solutions to Laplace's equation); the solution was given by the Dirichlet's principle.".
- Boundary_value_problem thumbnail Boundary_value_problem-en.svg?width=300.
- Boundary_value_problem wikiPageExternalLink lpde.htm.
- Boundary_value_problem wikiPageID "436779".
- Boundary_value_problem wikiPageRevisionID "600328938".
- Boundary_value_problem hasPhotoCollection Boundary_value_problem.
- Boundary_value_problem id "p/b017340".
- Boundary_value_problem id "p/b017390".
- Boundary_value_problem title "Boundary value problem".
- Boundary_value_problem title "Boundary value problem, complex-variable methods".
- Boundary_value_problem title "Boundary value problems in potential theory".
- Boundary_value_problem urlname "Boundary_value_problem".
- Boundary_value_problem subject Category:Boundary_conditions.
- Boundary_value_problem subject Category:Mathematical_problems.
- Boundary_value_problem subject Category:Ordinary_differential_equations.
- Boundary_value_problem subject Category:Partial_differential_equations.
- Boundary_value_problem type Abstraction100002137.
- Boundary_value_problem type Attribute100024264.
- Boundary_value_problem type BoundaryCondition106755776.
- Boundary_value_problem type BoundaryConditions.
- Boundary_value_problem type Communication100033020.
- Boundary_value_problem type Condition106755568.
- Boundary_value_problem type Condition113920835.
- Boundary_value_problem type DifferentialEquation106670521.
- Boundary_value_problem type Difficulty114408086.
- Boundary_value_problem type Equation106669864.
- Boundary_value_problem type MathematicalProblems.
- Boundary_value_problem type MathematicalStatement106732169.
- Boundary_value_problem type Message106598915.
- Boundary_value_problem type OrdinaryDifferentialEquations.
- Boundary_value_problem type PartialDifferentialEquation106670866.
- Boundary_value_problem type PartialDifferentialEquations.
- Boundary_value_problem type Postulate106753299.
- Boundary_value_problem type Premise106753800.
- Boundary_value_problem type Problem114410605.
- Boundary_value_problem type Proposition106750804.
- Boundary_value_problem type State100024720.
- Boundary_value_problem type Statement106722453.
- Boundary_value_problem comment "In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the differential equation which also satisfies the boundary conditions.Boundary value problems arise in several branches of physics as any physical differential equation will have them.".
- Boundary_value_problem label "Boundary value problem".
- Boundary_value_problem label "Condition aux limites".
- Boundary_value_problem label "Condizione al contorno".
- Boundary_value_problem label "Problema de condición de frontera".
- Boundary_value_problem label "Problema de valor sobre o contorno".
- Boundary_value_problem label "Randwertproblem".
- Boundary_value_problem label "Zagadnienie brzegowe".
- Boundary_value_problem label "Краевая задача".
- Boundary_value_problem label "مسألة القيمة الحدية".
- Boundary_value_problem label "境界値問題".
- Boundary_value_problem label "边值问题".
- Boundary_value_problem sameAs Randwertproblem.
- Boundary_value_problem sameAs Problema_de_condición_de_frontera.
- Boundary_value_problem sameAs Condition_aux_limites.
- Boundary_value_problem sameAs Condizione_al_contorno.
- Boundary_value_problem sameAs 境界値問題.
- Boundary_value_problem sameAs Zagadnienie_brzegowe.
- Boundary_value_problem sameAs Problema_de_valor_sobre_o_contorno.
- Boundary_value_problem sameAs m.028d7v.
- Boundary_value_problem sameAs Q1332643.
- Boundary_value_problem sameAs Q1332643.
- Boundary_value_problem sameAs Boundary_value_problem.
- Boundary_value_problem wasDerivedFrom Boundary_value_problem?oldid=600328938.
- Boundary_value_problem depiction Boundary_value_problem-en.svg.
- Boundary_value_problem isPrimaryTopicOf Boundary_value_problem.
