Results 211 to 220 of about 8,772,119 (248)

Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving scheme. [PDF]

Sci Rep
Yousuf M, Alshakhoury N.
europepmc   +1 more source

Vibration Analysis of Multilayer Stepped Cross-Sectional Carbon Nanotubes. [PDF]

Nanomaterials (Basel)
Yildiz YO, Sen M, Yigid O, Huseyinoglu M, Kara SE.   +4 more
europepmc   +1 more source

Physics-Informed Machine Learning in Biomedical Science and Engineering. [PDF]

Annu Rev Biomed Eng
Ahmadi N, Cao Q, Humphrey JD, Karniadakis GE.   +3 more
europepmc   +1 more source

Third Order Boundary Value Problems With Nonlocal Boundary Conditions

Nonlinear Analysis: Theory, Methods & Applications, 2009
We treat the existence of multiple positive solutions for a third order boundary value problem with nonlocal boundary conditions. In our work, each of the three boundary conditions is a linear functional on C[0,1], that is, given by a Stieltjes integral,
John R. Graef, J R L Webb
exaly   +2 more sources

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Stabilization of nonlocal solitons by boundary conditions

Optics Letters, 2014
We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
openaire   +2 more sources

Gellerstedt Problem with a Nonlocal Parity Boundary Condition

Lobachevskii Journal of Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
The author considers the existence of a positive solution to a boundary value problem where one of the boundary conditions is allowed to be nonlocal and nonlinear, namely \[ \begin{gathered} u''(t)+f(t,u(t))=0,\;t \in (0,1),\\ u(0) =H_{1}(\varphi (u))+\int_E H_{2}(s,u(s))\,ds,\;u(1) =0.\\ \end{gathered} \] Here, \(E\) is a measurable subset of \((0,1)\)
openaire   +1 more source

Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
The authors consider a nonlinear evolution problem with nonlinear nonlocal boundary conditions. They concentrate on existence results obtained by applying the degree theory for function triples with a Fredholm function developed in [the third author, Topological analysis. From the basics to the triple degree for nonlinear Fredholm inclusions.
BENEDETTI, Irene, Valentina Taddei, Martin Väth   +2 more
openaire   +3 more sources

Appropriate Boundary Conditions for Nonlocal Elastic Beams

Advanced Materials Research, 2013
This study is concerned with the boundary conditions of elastic beams within the framework of nonlocal elasticity th eory. The general solutions of the plane stress problem are, firstly, discussed. Through which and by employing the decaying analysis technique proposed by Gregory and Wan, a set of necessary conditions on the edge-d ata, other than the ...
Xu, S. P., Xu, M. R., Wang, C. M.
openaire   +2 more sources