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Singular Integral Equations Linear and Non-linear Theory and its Applications in Science and Engineering by E. G. Ladopoulos

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Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

Subjects:

  • Mechanics,
  • Numerical analysis,
  • Integral equations,
  • Materials,
  • Mathematical physics,
  • Engineering

Book details:

Edition Notes

Statementby E. G. Ladopoulos
Classifications
LC ClassificationsQ342
The Physical Object
Format[electronic resource] :
Pagination1 online resource (xxv, 551 p.)
Number of Pages551
ID Numbers
Open LibraryOL27087730M
ISBN 103642086586, 3662042916
ISBN 109783642086588, 9783662042915
OCLC/WorldCa851367235

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Integral Equations *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Book Description. The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied mathematics. Alexander G. Kyurkchan, Nadezhda I. Smirnova, in Mathematical Modeling in Diffraction Theory, Derivation of CBCM Integral Equations. The CBCM integral equations are obtained according to the same scheme as the singular integral definiteness, we assume that the boundary S is piecewise smooth. As S δ we take a piecewise smooth surface . An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1.

This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Hölder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. edition. The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, . The book is divided into four chapters, with two useful appendices, an excellent bibliography, and an index. A section of exercises enables the student to check his progress. Contents include Volterra Equations, Fredholm Equations, Symmetric Kernels and Orthogonal Systems of Functions, Types of Singular or Nonlinear Integral Equations, and more.5/5(2). A solution is given to a class of singular integral equations which, when applied to our modelling, permits to derive closed-form expressions for the dislocation distribution functions and.

Get this from a library! Singular integral equations. [Ricardo Estrada; Ram P Kanwal] -- "This work focuses exclusively on the distributional solutions of singular integral equations, progressing from basic concepts of the classical theory to the more difficult two-dimensional problems.   The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and growing branch of applied : The book is devoted to varieties of linear singular integral equations, with special emphasis on their methods of solution. It introduces the singular integral equations and their applications to researchers as well as graduate students of this fascinating and . Publisher Summary. This chapter discusses the properties of multidimensional singular integrals. The singular integral, v (x) = ∫ Em f(x, θ)/r m u(y) dy, characteristic f(x, θ) is a function of the point x and Q of which the first moves through the space E m or one of its regions and the other over a unit sphere. This is equivalent to the point, θ describing the whole of the space E m.