Nonlocal operators with local boundary conditions in higher dimensions
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DOI: 10.1007/s10444-018-9624-6
Abstract: We present novel nonlocal governing operators in 2D/3D for wave propagation and diffusion. The operators are inspired by peridynamics. They agree with the original peridynamics operator in the bulk of the domain and simultaneously enforce… read more here.
Keywords: operators local; local boundary; boundary conditions; nonlocal operators ... See more keywords
Numerical method for a non-local boundary value problem with Caputo fractional order
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DOI: 10.1007/s12190-021-01501-4
Abstract: A non-local boundary value problem with Caputo fractional derivative of order $$1 read more here.
Keywords: numerical method; local boundary; boundary value; caputo fractional ... See more keywords
On the local and boundary behaviour of mappings of factor spaces
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DOI: 10.1080/17476933.2020.1825392
Abstract: In this article, we study mappings acting between domains of two factor spaces by certain groups of Möbius automorphisms of the unit ball that act discontinuously and do not have fixed points. For such mappings,… read more here.
Keywords: boundary behaviour; behaviour mappings; factor spaces; local boundary ... See more keywords
A Constructive Method of Solving Local Boundary Value Problems for Nonlinear Systems with Perturbations and Control Delays
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DOI: 10.3390/sym14081595
Abstract: In this paper, a class of controllable nonlinear stationary systems of ordinary differential equations with an account of external perturbations is studied. The control satisfies given restrictions, and there is a fixed delay in it.… read more here.
Keywords: solving local; constructive method; method solving; local boundary ... See more keywords