boundary value problem

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Related to boundary value problem: Initial value problem

boundary value problem

[′bau̇n·drē ‚val·yü ‚präb·ləm]
(mathematics)
A problem, such as the Dirichlet or Neumann problem, which involves finding the solution of a differential equation or system of differential equations which meets certain specified requirements, usually connected with physical conditions, for certain values of the independent variable.
References in periodicals archive ?
First of all let us construct Green's function for the two-point boundary value problem
Then, [f.sub.c] is a convex solution of the boundary value problem [P.sub.0(a,b)] if and only if [subset] [member of] [C.sub.1].
Many authors have made large achievements about the study of fractional differential equations boundary value problems. Most results have adopted the Riemann-Liouville and Caputo-type fractional derivatives; we can see [1-28] and the references therein; for example, in , by using Guo-Krasnosel'skii fixed point theorem, the authors obtained the various existence results for positive solutions about a system of Riemann-Liouville type fractional boundary value problems with two parameters and the p-Laplacian operator.
Then the boundary value problem (1)-(2) has at least three positive solutions [x.sub.1], [x.sub.2], and [x.sub.3].
Numerical experiments have been performed on the boundary value problem (1.1) with [alpha] = [beta] = 1, the polynomial f(y) = [y.sup.3], and the function g(x) = [[pi].sup.4]sin([pi]x) - [[pi].sup.2] sin([pi]x) + sin([pi]x) + sin([pi]x) - [sin.sup.3] ([pi]x).
Ozbilge, "Numerical solution and distinguishability in time fractional parabolic equation," Boundary Value Problems, vol.
Mesh-free methods of solving boundary value problems have been widely studied in different researches in the last decade .
Amiraliyev, Numerical solution of a singularly perturbed three-point boundary value problem, Int.
If the boundary value problem (1.3) has a nontrivial solution, where q is a real and continuous function vnth q(t) [not equivalent to] 0, then we have the Lyapunov type inequality
Bensebaa, "Solvability of a fractional boundary value problem with fractional derivative condition," Arabian Journal of Mathematics, vol.
Cui, "Existence of solutions for coupled integral boundary value problem at resonance," Publicationes Mathematicae Debrecen, vol.
Mathematical formulation of the boundary value problem is done.

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