Results 131 to 140 of about 2,235,088 (306)
k-dimensional nonlocal boundary-value problems at resonance
Electronic Journal of Differential Equations, 2015 In this article we show the existence of at least one solution to the system of nonlocal resonant boundary-value problem $$ x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s), $$ where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k$, $g:[0 ...
Katarzyna Szymanska-Debowska
doaj
A supplement to ``On transference of boundary value problems'' [PDF]
, 1954 Yûsaku Komatu
openalex +1 more source
Advanced Engineering Materials, EarlyView.A metallic implant's higher stiffness compared to the surrounding bone leads to stress shielding problems, causing bone density reduction and bone growth interference in pediatric patients. 3D‐printed triply periodic minimal surface structures present a promising engineering solution.
Ali Ebrahimzadeh Dehaghani +4 more
wiley +1 more source
Solvability of boundary value problems for nonlinear functional difference equations
Le Matematiche, 2010 Sufficient conditions for the existence of solutions of the periodic and anti-periodic boundary value problems for nonlinear functional difference equations are established, respectively.
Yuji Liu
doaj
On a singular boundary value problem
Journal of Mathematical Analysis and Applications, 1970 AbstractThe purpose of this paper is to establish sufficient conditions for the existence and uniqueness of solution of the boundary value problem u″ = f(t, u, u′); (1) limt→0u(t)=0, limt→1u(t)=0. (2) It is assumed that the function f(t, x, y) is defined on the domain 0 < t < 1, −∞ < x, y < +∞, measurable in t for every x, y ϵ (−∞, +∞) and continuous ...
openaire +2 more sources
Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani +2 more
wiley +1 more source
Free boundary value problem for compressible magnetohydrodynamic equations
Electronic Journal of Differential Equations, 2020 In this article we consider a free boundary value problem for barotropic compressible magnetohydrodynamic equations with density-dependent viscosity coefficients.
Huihui Kong, Ruxu Lian
doaj
A boundary value problem for a system of ordinary linear differential equations of the first order [PDF]
, 1926 Gilbert Ames Bliss
openalex +1 more source
Digital Methods for the Fatigue Assessment of Engineering Steels
Advanced Engineering Materials, Volume 27, Issue 8, April 2025.The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener +7 more
wiley +1 more source
Nonhomogeneous Boundary Value Problems
Journal of Mathematical Analysis and Applications, 1996 AbstractThe diffusion equation is solved under stochastic nonhomogeneity using eigen function expansion and the Georges method. The statistical moments of the solution process are computed through the two previously mentioned techniques and proved to be the same. A general solution is obtained under general initial and boundary conditions.
openaire +2 more sources