# Boundary Conditions

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Related to Boundary value problem: Initial value problem

## Boundary Conditions

The limitations to which a mathematical equation is subject under certain circumstances. Boundary conditions are important in solving problems dealing with real world issues.
References in periodicals archive ?
If h : [a, b] [right arrow] R is continuous function, then boundary value problem (2.1)-(2.2) has a unique solution
If either b [less than or equal to] -1 or b [member of] (-1,0] and a [less than or equal to] [a.sup.*], then the boundary value problem [P.sub.1(a,b)] has no convex solution.
Cui, "The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity," Boundary Value Problems, vol.
By virtue of Lemma 11, the boundary value problem (1)-(2) has at least three solutions [x.sub.1], [x.sub.2], and [x.sub.3].
The boundary value problem (6.1) may have infinitely many solutions , and the discretized problem has finitely many solutions.
Demir, "Analysis of the inverse problem in a time fractional parabolic equation with mixed boundary conditions," Boundary Value Problems, vol.
Cakir, Uniform second-order difference method for a singularly perturbed three-point boundary value problem, Adv.
If the boundary value problem (1.3) has a nontrivial solution, where q is a real and continuous function with q(t) [not equivalent to] 0, then we have the Lyapunov type inequality
Yang, "Existence of positive solutions for a boundary value problem of nonlinear fractional differential equations," Advances in Difference Equations, vol.
In recent years, singular uncoupled boundary value problems to differential systems have been studied widely and there are many excellent results (see [1-18] and references therein).
About solving boundary value problems of the bending composite shallow shells.
Zhu, Modified Adomian Decomposition Method for double singular Boundary value problem" Nonlinear Sci.
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