Results 41 to 50 of about 1,919 (287)
A Nonlocal Problem with Integral Conditions for a Hyperbolic Equation
Differential Equations, 2004 One considers a Cauchy problem for the two dimensional hyperbolic equation where the solution has to verify a nonlocal integral condition, too. The stated problem cannot be reduced to a boundary value problem. Under certain conditions one proves a priori estimates and the existence and uniqueness of solutions in a Sobolev space.
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On a nonlocal problem with integral boundary conditions for a multidimensional elliptic equation
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Avalishvili +2 more
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Microlocal Analysis of Some Isospectral Deformations [PDF]
, 1994 We study the microlocal structure of the examples of isospectral deformations of Riemannian manifolds given by D. DeTurck and C. Gordon in [DeT-G1]. The Schwartz kernel of the intertwining operators considered by them may be written as an oscillatory ...
Marhuenda, Francisco +1 more
core
Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition
, 2022 In this paper, we develop two approaches to investigation of inverse spectral problems for a new class of nonlocal operators on metric graphs. The Laplace differential operator is considered on a star-shaped graph with nonlocal integral matching ...
Bondarenko, Natalia P.
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Nonlocal Metaspire: A Scalable Elastic Material Platform With Decoupled Mechanical Modes
Advanced Materials, EarlyView.Nonlocal Metaspire introduces sequential rotation to realize wider scalability in implementing complex nonlocal couplings in elastic metamaterials while suppressing unintended mode coupling. Numerical results clarify the underlying wave motions, demonstrate mode‐decoupled roton and maxon formation, and support a straightforward extension to higher ...
Seung Han Kim +3 more
wiley +1 more source
A NONLOCAL PROBLEM WITH INTEGRAL CONDITION FOR A FOURTH ORDER EQUATION
Vestnik of Samara University. Natural Science Series, 2016 In this paper we consider initial-boundary problems with integral conditions for certain fourth order equation. Unique solvability of posed problems is proved. The proof is based on apriori estimates, regularization method, auxiliary problems method, embedding theorems.
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On the singular impulsive functional integral equations involving nonlocal conditions
Osaka Journal of Mathematics, 2012 The authors consider a singular impulsive functional integral equation of the form \[ u(t)= T(t) H(u)+{1\over \Gamma(\alpha)} \int^t_0 (t-s)^{\alpha-1} T(t-s) F(s,u(s))\,ds \] for \(t\in[0, T]\), but \(t\) not equal to \(t_i\), and \(\Delta u(t_i)= I_i(u(t_i))\), \(i= 1,\dots,n\).
Wang, Rong-Nian, Wang, Yan, Chen, De-Han
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
Data‐Efficient Electromagnetic Surrogate Solver Through Dissipative Relaxation Transfer Learning
Advanced Optical Materials, EarlyView.Dissipative relaxation transfer learning (DIRTL) enables data‐efficient training of electromagnetic surrogate solvers by pretraining data generated with artificial material loss before fine‐tuning on target lossless data. The framework suppresses resonant outlier effects during early training, allowing effective adaptation to high‐amplitude resonances ...
Sunghyun Nam +2 more
wiley +1 more source
Solvability for a nonlocal dispersal model governed by time and space integrals
Open Mathematics, 2022 This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved.
Yu Yang-Yang, Wang Fu-Zhang
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