Modern problems in applied analysis

Modern problems in applied analysis

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"This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "Boundary Value Problems, Functional Equations and Applications" (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boun…

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Title Statements

  • Full title :Modern problems in applied analysis / Piotr Drygaś, Sergei Rogosin, editors.

Summary

"This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference "Boundary Value Problems, Functional Equations and Applications" (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems."--

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Edition Statements

  • Publication Date:©2018

Publication Statements

  • Publisher(s):Birkhäuser
  • Place of Publication:Cham, Switzerland
  • Language:eng
  • Publication Date:©2018

The Physical Object

  • Description:1 ressource en ligne

Edition Identifiers

  • ISBN:9783319726403, 3319726404
  • oclc:on1132087068
  • LC Classification:QA300
  • Dewey Decimal:515

Table of Contents

Intro; Preface; Contents; Boundary Value Problems for the Singular p- and p(x)-Laplacian Equations in a Cone; 1 Boundary Value Problems with Constant Nonlinearity Exponent; 1.1 The Dirichlet Problem; 1.2 The Robin Problem; 2 The Dirichlet Problem with Variable Nonlinearity Exponent; References; Exact and ``Exact'' Formulae in the Theory of Composites; 1 Introduction; 2 Approximate and Exact Constructive Formulae in the Theory of Composites; 2.1 Method of Rayleigh; 2.2 Method of Natanzon-Filshtinsky; 2.3 Method of Functional Equations : Exact Solutions; 3 ``Exact Solutions''; 4 Conclusion

Viscoelastic Behavior of Periodontal Ligament : Stresses Relaxation at Translational Displacement of a Tooth Root1 Introduction; 2 Viscoelastic Model of the PDL; 2.1 Evolution of Stresses in the PDL; 2.2 Effect of Poisson's Ratio on the Normal Component of Stresses; 3 Conclusions; References; Dirichlet Type Problems in Polydomains; 1 Introduction; 2 Preliminaries; 3 Riquier Problem in Higher Dimension; 4 Riquier Problems for Higher Order Polyharmonic Equations in a Polydisc; 4.1 The Properties of Integral Operators Related to G̃D2, n

5 Riquier Problem for Generalized Higher Order Equations in D2R…

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Subjects

Actes de congrès Analyse mathématique -- Congrès Conference papers and proceedings Congress Mathematical analysis Mathematical analysis -- Congresses

Writers

Drygaś, Piotr Rogosin, Sergei V.

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