Results 21 to 30 of about 8,772,119 (248)
In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions.
Zhou Sen, Zuodong Yang
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Recovering differential operators with nonlocal boundary conditions [PDF]
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type function and two spectra, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.
Yurko, Vjacheslav Anatoljevich +1 more
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A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Botao Chen, Yongsheng Mi, Chunlai Mu
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NEUMANN BOUNDARY CONDITION FOR A NONLOCAL BIHARMONIC EQUATION
The solvability conditions for a class of boundary value problems for a nonlocal biharmonic equation in the unit ball with the Neumann conditions on the boundary are studied. The nonlocality of the equation is generated by some orthogonal matrix. The presence and uniqueness of a solution to the proposed Neumann boundary condition is examined, and an ...
B.Kh. Turmetov, V.V. Karachik
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Difference Schemes with Nonlocal Boundary Conditions
AbstractThe paper deals with the stability, with respect to initial data, of difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered for the one-dimensional heat-conduction equation, the energy norm is constructed, and the necessary and ...
Goolin, Alexei V. +2 more
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Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition [PDF]
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary condition.
Robert C. Kirby +2 more
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Domain decomposition with nonlocal interface boundary conditions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Utyuzhnikov, Sergey; id_orcid 0000-0002-6906-6695 +1 more
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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Stationary problems with various nonlocal boundary conditions
In this paper we investigate one-dimensional stationary differential problems with various nonlocal boundary conditions and finite difference schemes for them.
Artūras Štikonas +2 more
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Diffusion with nonlocal boundary conditions
18 pages, no figures; comments of the referees ...
Arendt, Wolfgang +2 more
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