Modern problems in applied analysis. ([2018])

• Record Type: Book
• Further Information: Note: Piotr Drygaś, Sergei Rogosin, editors.
• Editors: Drygaś, Piotr; Rogosin, Sergei V
• Other Names: International Workshop "Boundary Value Problems, Functional Equations and Applications", 3rd
• 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 D2References; A Microscopic Model of Redistribution of Individuals Inside an `Elevator'; 1 Introduction; 2 General Framework: Microscopic Level; 3 Mesoscopic Level; 4 Model of Redistribution Inside an `Elevator'; 5 Qualitative Analysis; 6 Conclusions; References; New Approach to Mathematical Model of Elastic in Two-Dimensional Composites; 1 Introduction; 2 Geometry and Functional Spaces; 3 Statement of the Elastic Problem; 4 Functional-Differential Equations; 5 Local Problem; 6 Doubly Periodic Problem; 7 Effective Formula; References Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks1 Introduction; 2 Problem Statement; 3 Analytical Formalism; 4 Asymptotes at the Ends of Cracks and Characteristics of Distraction; 5 Results and Conclusion; References; Perturbative Expansions and Critical Phenomena in Random Structured Media; 1 2D Conductivity: Dependence on Contrast Parameter; 2 3D Elasticity, or High-Frequency Viscosity: Critical Index; 3 Spontaneous Ordering in Suspensions of Active Particles; 3.1 Model 0: Stationary States with Additive Noise
• Publisher Details: Cham, Switzerland : Birkhäuser
• Publication Date: 2018
• Copyright Date: 2018
• Extent: 1 online resource
• Subjects: 515; Mathematics; Mathematical analysis -- Congresses; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Mathematical analysis; Mathematics -- Mathematical Analysis; Functional analysis & transforms; Complex analysis, complex variables; Integral calculus & equations; Differential equations, partial; Functions, special; Functions of complex variables; Integral equations; Mathematics -- Differential Equations; Differential calculus & equations; Electronic books; Conference papers and proceedings; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319726403; 3319726404
• Related ISBNs: 9783319726397; 3319726390
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed March 26, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.