Results 31 to 40 of about 12,177,110 (235)

On The Stability of Nonlocal Boundary Value Problem for Schrödinger-Parabolic Equations [PDF]

open access: yes, 2020
In the present article, a problem for a Schrödinger-parabolic equation with nonlocal boundary value condition is considered. The stability estimates are established for the solution of Schrödinger-parabolic problem.
Ozdemir, Yildirim, Yildirim OZDEMİR
core   +1 more source

A third order boundary value problem subject to nonlinear boundary conditions [PDF]

open access: yes, 2010
summary:Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem.
Pietramala, Paolamaria, Infante, Gennaro
core   +1 more source

A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

open access: yesAbstract and Applied Analysis, 2012
The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source

On nonlocal boundary value problems for hyperbolic-parabolic equations [PDF]

open access: yesTaiwanese Journal of Mathematics, 2007
A numerical method is proposed for solving the hyperbolic-parabolic partial differential equations with nonlocal boundary condition. The first and second order of accuracy difference schemes are presented. The method is illustrated by numerical examples.
Ashralyev, Allaberen, Ozdemir, Yildirim
openaire   +2 more sources

A Noninvasive Approach to Study Localized Forces in 3D Epithelia

open access: yesAdvanced Materials, EarlyView.
Epithelial morphogenesis depends on dynamic mechanical coupling between adhesion complexes and the cytoskeleton, yet its regulation in polarized 3D tissues remains elusive. We developed a noninvasive strategy using cell‐like elastic microbeads to quantify local forces in intact epithelia.
Niels Gouirand   +9 more
wiley   +1 more source

Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]

open access: yes, 2008
We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb   +5 more
core   +1 more source

Photonic Time Crystals and Time‐Varying Electromagnetic Metamatter: A New Direction for Ultrafast Tunable Photonic and Microwave Materials and Devices

open access: yesAdvanced Science, EarlyView.
Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel   +3 more
wiley   +1 more source

Experiments on Nonlocal Fluid‐Flow Metamaterials

open access: yesAdvanced Science, EarlyView.
A nonlocal fluid‐flow metamaterial composed of standard microfluidic tubes and connectors is designed. Hence, the current of the system at one position depends on the gradient of fluid flow at many other positions, leading to unusual alternating backward and forward laminar flows of water.
Ke Wang, Yi Chen, Martin Wegener
wiley   +1 more source

Enhancing Specific Stiffness of Nano‐Architected Materials Through Generative AI and Active Learning

open access: yesAdvanced Science, EarlyView.
A structure‐centric generative framework searches voxelated design space directly, coupling a variational autoencoder with multi‐objective optimization and active learning to progressively expand the validated design domain. The discovered nano‐architectures, realized as pyrolytic carbon by two‐photon lithography, deliver 18–23% higher stiffness and 26–
Jinwook Yeo   +4 more
wiley   +1 more source

On a nonlocal problem for impulsive differential equations with mixed maxima

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
A nonlocal boundary value problem for a first order system of ordinary integro-differential equations with impulsive effects and mixed maxima is investigated. The boundary value problem is given by the integral condition.
Yuldashev, T.K.
doaj   +1 more source

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