Results 71 to 80 of about 404,061 (285)
Solving Periodic Boundary Value Problem via Product Type Rational Contractions
In this paper, we define some new product types of rational contractions for single-valued mappings in generalized metric spaces. We prove the uniqueness of fixed point (FP) and common fixed point (CFP) theorems under the new product types of rational ...
Saif Ur Rehman +5 more
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In this article, by using critical point theory, we prove the existence of multiple TT-periodic solutions for difference equations with the mean curvature operator: −Δ(ϕc(Δu(t−1)))+q(t)u(t)=λf(t,u(t)),t∈Z,-\Delta ({\phi }_{c}\left(\Delta u\left(t-1)))+q ...
Wang Zhenguo, Li Qiuying
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Periodic solutions of systems with asymptotically even nonlinearities [PDF]
New conditions of solvability based on a general theorem on the calculation of the index at infinity for vector fields that have degenerate principal linear part as well as degenerate ... next order ...
Kloeden, Peter E. +1 more
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This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
wiley +1 more source
Removing Oxide Layers and Retaining Oxide‐Free Steel Surfaces by Polishing in Oxygen‐Free Atmosphere
In this study, the efficacy of wet mechanical polishing under an oxygen‐free atmosphere for deoxidation and the retention of an oxide‐free steel surface are elucidated using X‐ray photoelectron spectroscopy. The methodology proved successful; however, the results were highly dependent on the preparation of the solvents used to clean the samples after ...
Friedrich Bürger +2 more
wiley +1 more source
Solutions to a moving boundary problem on the Boltzmann equation
Let the motion of a rarefied gas between two parallel infinite plates of the same temperature be governed by the Boltzmann equation with diffuse reflection boundaries, where the left plate is at rest and the right one oscillates in its normal direction ...
Duan, Renjun, Zhang, Zhu
core
Spectral Solution with a Subtraction Method to Improve Accuracy [PDF]
This work addresses the solution to a Dirichlet boundary value problem for the Poisson equation in 1-D, d2u/dx2 = f using a numerical Fourier collocation approach.
Green, Matthew
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Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May +9 more
wiley +1 more source
About Two Finite-Dimensional Approximations of the Periodic Boundary Value Problem
Two numerical methods for solving the periodic boundary value problem are considered: Galerkin's method and the method of polygonal lines. The original problem is mapped to the sequence of its discretization - systems of equations in finite spaces ...
N. A. Demyankov
doaj
Nonlinear second-order periodic boundary value problems
For the nonlinear boundary value problem (BVP) with periodic boundary conditions \(u''+f(t,u)=0\), \(u(0)=u(2\pi)\), \(u'(0)=u'(2\pi)\), the existence of lower and upper solutions \(\alpha\) and \(\beta\) with \(\alpha\leq \beta\) on [0,2\(\pi\) ] guarantees the existence of a solution u(t) of the BVP with \(\alpha\leq u\leq \beta\). In this paper, the
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