It is proposed an operational calculus method for obtaining explicit solutions of a class of local and nonlocal BVPs for the Laplace equation. It is based on direct two-dimensional operational calculi built on two non-classical convolutions for the operators ∂xx and ∂yy. The corresponding operational calculi use multiplier fractions instead of convolution fractions. An extension of the Duhamel ...

In previous work we describe the problem of scheduling flights for SOFIA, an airborne observatory. Scheduling in this domain requires solving many Initial Value Problems (IVPs) and Boundary Value Problems (BVPs) to evaluate constraints on the observatory’s ground track and telescope elevation limits. These are costly operations, and become more so when accounting for winds and fuel consumption....

It is our main objective to find the critical load for three beams with cross sectional heterogeneity. Each beam has supports, of which intermediate one a spring support. Determination these leads point boundary value problems (BVPs) associated homogeneous conditions—the mentioned BVPs constitute eigenvalue problems. They are solved by using novel solution strategy based on Green functions that...

In this paper the static, spherically symmetric and electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton are investigated numerically. The Continuous Analog of Newton Method (CANM) is used to solve the corresponding non-linear multipoint boundary value problems (BVPs). The linearized BVPs are solved numerically by means of collocation scheme of fourth o...

Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliab...

In this article we gain solvability to a nonlinear, second-order difference equation with discrete Neumann boundary conditions. Our methods involve new inequalities on the right-hand side of the difference equation and Schaefer’s theorem in the finitedimensional space setting. Running Head: Discrete BVPs AMS Subject Code: 39A12, 34B15 Corresponding Author: C C Tisdell

objective: the purposes of this study were to examine the relationships between personality traits, cognitive emotion regulation strategies and impulsive behaviors of borderline personality disorder, and to explore which personality traits and cognitive emotion regulation strategies can better predict and explain the impulsive behaviors in borderline personality disorder. methods: this study wa...

Motivated by [Science in China (Ser. A Mathematics) 36 (2006), no. 7, 721–732], this article deals with the following discrete type BVP    ∆[φ(∆x(n))] + f(n, x(n + 1), ∆x(n), ∆x(n + 1)) = 0, n ∈ [0, N ], x(0)−mi=1 αix(ni) = A, x(N + 2)−mi=1 βix(ni) = B. The sufficient conditions to guarantee the existence of at least three positive solutions of the above multi-point boundary value problem ...

In this paper, we propose and analyze a high-order uniform method for solving boundary value problems (BVPs) for singularly perturbed nonlinear delay differential equations with small shifts (delay and advance). Such types of BVPs play an important role in the modeling of various real life phenomena, such as the variational problem in control theory and in the determination of the expected time...

Driven by diverse applications, several recent models impose randomly switching boundary conditions on either a PDE or SDE. The purpose of this paper is to provide tools for calculating statistics of these models and establish a connection between these two perspectives on diffusion in a random environment. Under general conditions, we prove that the moments of a solution to a randomly switchin...