Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions (Hardcover)

A HISTORICAL SURVEYNOTATIONS AND AUXILIARY RESULTSGeometry of Complex PlaneFunctional SpacesOperator Equations in Functional SpacesProperties of Analytic and Harmonic FunctionsCauchy-Type Integral and Singular IntegralsSchwarz OperatorC-Linear Conjugation ProblemRiemann-Hilbert Boundary Value ProblemEntire FunctionConformal MappingsR-Linear Problem and its ApplicationsNotes and CommentsNONLINEAR BOUNDARY VALUE PROBLEMSConjugation Problem of Power TypeProblem of Multiplication TypeEntire Functions MethodsGeneral Riemann-Hilbert Problem of Power TypeThe Modulus Problem and its GeneralizationLinear Fractional ProblemCherepanov's Mixed ProblemNotes and CommentsMETHOD OF FUNCTIONAL EQUATIONSDirichlet Problem for a Doubly Connected DomainA Nonlinear Boundary Value ProblemLinear Functional EquationsHarmonic Measures and Schwarz OperatorLinear Riemann-Hilbert PorblemPoincare SeriesMixed Problem for Multiply Connected DomainsCircular Polygons with Zero AnglesGeneralized Method of Schwarz and other MethodsNotes and CommentsNONLINEAR PROBLEMS OF MECHANICSSteady Heat Conduction: Nonlinear CompositesLinearized ProblemConstructive Solution to Integral EquationsComposite Materials with Reactive InclusionsSteady Heat Conduction on ConfigurationsAn Elastic Problem for Composite MaterialsPlane Stokes FlowNotes and CommentsBIBLIOGRAPHYINDEX