A boundary value problem for a mixed type equation in a cylindrical domain

Existence of positive solutions for a boundary value problem of a nonlinear fractional differential equation

This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.

MIXED BOUNDARY VALUE PROBLEM FOR A QUARTER-PLANE WITH A ROBIN CONDITION

We consider a mixed boundary value problem for a quarter-plane with a Robin condition on one edge. We have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. Both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

Inverse boundary value problem for Schrödinger equation in cylindrical domain by partial boundary data

Let Ω ⊂ R2 be a bounded domain with ∂Ω ∈ C∞ and L be a positive number. For a three dimensional cylindrical domain Q = Ω× (0, L), we obtain some uniqueness result of determining a complex-valued potential for the Schrödinger equation from partial Cauchy data when Dirichlet data vanish on a subboundary (∂Ω \ Γ̃) × [0, L] and the corresponding Neumann data are observed on Γ̃× [0, L], where Γ̃ is an ...

Exact Controllability for a Wave Equation with Mixed Boundary Conditions in a Non-cylindrical Domain

In this article we study the exact controllability of a one-dimensional wave equation with mixed boundary conditions in a non-cylindrical domain. The fixed endpoint has a Dirichlet-type boundary condition, while the moving end has a Neumann-type condition. When the speed of the moving endpoint is less than the characteristic speed, the exact controllability of this equation is established by Hi...

Triple Positive Solutions for Boundary Value Problem of a Nonlinear Fractional Differential Equation