Results 61 to 70 of about 3,476 (289)
Second order systems with nonlinear nonlocal boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper is concerned with the second order differential equation with not necessarily linear nonlocal boundary condition. The existence of solutions is obtained using the properties of the Leray–Schauder degree. The results generalize and improve some
Jean Mawhin +2 more
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Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Science, EarlyView.A nanoparticle‐cluster‐on‐mirror (NPcoM) serves as a functionally deterministic sub‐nanocavity that emulates picocavities, enabling extreme light–matter interactions and polaritonic phenomena. ABSTRACT Pushing nanoscale optical confinement to its ultimate limits defines the regime of nano‐cavity quantum electrodynamics (nano‐cQED), where light‐matter ...
Huatian Hu +10 more
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, 2021 In this work, we present a boundary value problem of hybrid functional differential inclusion with nonlocal condition. The boundary conditions of integral and infinite points will be deduced. The existence of solutions and its maximal and minimal will be
Ahmed M. A. El-Sayed +2 more
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Advanced Science, EarlyView.A one‐dimensional sp2‐carbon covalent organic framework with spatially segregated redox centers integrates a dual photosensitizing system and a cationic interface for synergistic photocatalysis. The material achieves exceptional palladium recovery (1749 mg g−1) and bisphenol A mineralization (0.1710 min−1) without sacrificial agents, demonstrating ...
Yi‐Ru Chen +9 more
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Nonlinear Analysis, 2006 The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
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Exact analytical approach for free longitudinal vibration of nanorods based on nonlocal elasticity theory from wave standpoint [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2017 In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling.
Mohammad Reza Hairi Yazdi +2 more
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Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions
Lietuvos Matematikos Rinkinys, 2022 We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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Advanced Science, EarlyView.A metasurface‐enabled ultrasonic platform achieves precise multi‐focal control through biological barriers, real‐time physiology‐driven modulation, and simultaneous wireless power and data transmission. By unifying wavefront engineering, closed‐loop feedback, and acoustic communication, this work establishes key enabling technologies toward scalable ...
Chuanxin Zhang +3 more
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