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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/s10035-002-0116-4

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1573-8795

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Homogenization of a boundary value problem in a th

Authors: T A Mel’nik G A Chechkin
Publish Date: 2008/09/17
Volume: 154, Issue: 1, Pages: 50-77
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Abstract

We consider a homogenization problem in a singularly perturbed twodimensional domain of a new type that consists of a junction body and many alternating thin rods of two classes One of the classes consists of rods of finite length whereas the other contains rods of small length and inhomogeneous Fourier boundary conditions the third type boundary conditions with perturbed coefficients are imposed on boundaries of thin rods Homogenization theorems are proved Bibliography 38 titles Illustrations 2 figures

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  2. Enumerating functions for nonnegative integer coordinates of L -dimensional vectors
  3. Folded fans and string functions
  4. Investigation of the prefracture zone at the tip of a mode I crack reaching a nonsmooth interface of an elastic media
  5. Vortex singularities of optimal strategies at the beginning of motion in search problems on n -dimensional Riemannian manifolds
  6. On Stabilization of Potential Systems by Circular Forces
  7. On the absolute stability of imprecise large-scale singularly perturbed systems
  8. Galilei’s relativity principle for a system of reaction-convection-diffusion equations
  9. On the existence of bounded generalized solutions of the Dirichlet problem for a class of nonlinear high-order elliptic equations
  10. Precise Estimates of the Walk Speed of Solutions of Second-Order Linear Systems
  11. Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations
  12. On homogeneous extensions of finite predicate systems
  13. Efficient Approach to the Evaluation of Dynamic Stresses in Layered Circular Plates Based on the Prudnikov Formula for the Inverse Laplace Transformation
  14. On independence numbers of distance graphs with vertices in {-1,0,1} n : estimates, conjectures, and applications to the Nelson–Erdős–Hadwiger problem and the Borsuk problem
  15. Codimension and colength sequences of algebras and growth phenomena
  16. Generalized subrings of arithmetic rings
  17. The problem of product of conformal radii of nonoverlapping domains
  18. Averaging in Cascade Junctions with a “Wide” Transmission Domain
  19. On some constructive methods for the matrix Riemann–Hilbert boundary-value problem
  20. The Structure of Finite Distributive Lattices
  21. On skew-symmetric and general deformations of Lax pseudodifferential operators
  22. Diffraction by a Grating Consisting of Absorbing Screens of Different Height. New Equations
  23. Characterization of Populations by Identically Distributed Linear Statistics
  24. Inherently Non-Finitely Generated Varieties of Aperiodic Monoids with Central Idempotents
  25. The Behavior of Solutions to the Dirichlet Problem for Second Order Elliptic Equations with Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point
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  27. Characterization of radon integrals as linear functionals
  28. Oriented Degree of Fredholm Maps: Finite-Dimensional Reduction Method
  29. Simple and pseudosimple algebras with operators
  30. Simple and pseudosimple algebras with operators
  31. Typical equivalence of linear groups and other algebraic systems
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  38. Bifurcations in a Boundary-Value Problem of Nanoelectronics
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  40. Poincaré Series and Duality Operators on Multiplicative Automorphic Forms
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  42. Almost periodic homogenization of a generalized Ladyzhenskaya model for incompressible viscous flow
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  47. Determination of the Direct Sums of Rational Groups by H -Representations of the Endomorphism Rings up to Equality
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