Results 91 to 100 of about 8,772,119 (248)
On the spectrum of a stationary problem with nonlocal integral type boundary condition
Lietuvos Matematikos Rinkinys, 2004 We investigated a eigenvalue problem for simple second order ordinary differential equation with one integral type nonlocal boundary condition. The eigenvalues and eigenfunctions of such problem are depending on few parameters in the nonlocal boundary ...
Sigita Pečiulytė +2 more
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
Abstract and Applied Analysis, 2012 We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments.
Juan J. Nieto, Rosana Rodríguez-López
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Karpatsʹkì Matematičnì Publìkacìï, 2019 In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij +3 more
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EcoEnergy, EarlyView.A single‐atom iron catalyst with well‐defined Fe–N4 sites enables a tandem epoxidation‐hydrolysis process for converting terminal olefins to 1,2‐diols. The in situ‐generated isobutyric acid drives the hydrolysis step, affording broad substrate scope and excellent recyclability.
Tao‐Tao Liu +7 more
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, 2016 We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove the principle of comparison, establish the existence of local solutions, and study the problem of uniqueness and ...
Kavitova, T.V. +3 more
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.Low‐dimensional materials (0D, 1D, and 2D) exhibit unique electronic and physicochemical properties, enabling advanced nanoelectronic and optoelectronic devices. Mixed‐dimensional heterostructures combine these materials to enhance functionality.
Qaisar Alam +3 more
wiley +1 more source
Existence of solutions for an n-dimensional operator equation and applications to BVPs
Electronic Journal of Differential Equations, 2014 By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
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Land Degradation &Development, EarlyView.ABSTRACT Rainfall‐induced physical crusting is associated with degradation of near‐surface soil structure, but its pore‐scale structural and mechanical evolution during drying remains poorly resolved. We combined time‐resolved X‐ray computed tomography (XCT), digital volume correlation (DVC), and surface‐aligned stratification to track pore ...
Ruikun Feng +4 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 We study the boundary-value problem for a linear system of differential equations written in the form of differential-operator equations $$ aD_t u(t)+bBu(t)=f(t) $$ with nonlocal boundary conditions at $t$.
Dmitriy V Kornienko
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Quantization of Polaritons Confined in Dielectric Structures
Laser &Photonics Reviews, EarlyView.This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source