Theory and Applications of Some New Classes of Integral Equations - Taschenbuch

EAN (ISBN-13): 9780387905402
ISBN (ISBN-10): 0387905405
Taschenbuch
Erscheinungsjahr: 1980
Herausgeber: Springer-Verlag New York Inc.

Buch in der Datenbank seit 2007-06-20T11:41:51+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-24T20:43:47+01:00 (Berlin)
ISBN/EAN: 0387905405

ISBN - alternative Schreibweisen:
0-387-90540-5, 978-0-387-90540-2
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: ramm
Titel des Buches: integral equations, theory the integral, some new

---

Daten vom Verlag:

Autor/in: Alexander G. Ramm
Titel: Theory and Applications of Some New Classes of Integral Equations
Verlag: Springer; Springer US
344 Seiten
Erscheinungsjahr: 1980-12-01
New York; NY; US
Gewicht: 0,527 kg
Sprache: Englisch
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
XIV, 344 p.

BC; Analysis; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Applications; Eigenvalue; Equations; Integral; Integralgleichung; differential equation; functional analysis; logarithm; Analysis; EA

I. Investigation of a New Class of Integral Equations and Applications to Estimation Problems (Filtering, Prediction, System Identification).- 1. Statement of the Problems and Main Results.- 2. Investigation of the Scalar Equations.- 3. Investigation of the Vector Equations.- 4. Investigation of the Multidimensional Equations.- 5. Approximate Solution of the Integral Equations in the Space of Distributions.- 6. Asymptotics of the Spectrum of the Investigated Integral Equations.- 7. General Theorems about Perturbations Preserving the Asymptotics of a Spectrum.- 8. Remarks and Examples.- 9. Research Problems.- 10. Bibliographical Note.- II. Investigation of Integral Equations of the Static and Quasi-Static Fields and Applications to the Scattering from Small Bodies of Arbitrary Shape.- 0. Introduction.- 1. Statement of the Problems and Main Results.- 2. Investigation of a Class of Linear Operator Equations.- 3. Integral Equations of Static Field Theory for a Single Body and Their Applications. Explicit Formulas for the Scattering Matrix in the Problem of Wave Scattering from a Small Body of Arbitrary Shape.- 4. Variational Principles for Calculation of the Electrical Capacitance and Polarizability Tensors for Bodies of Arbitrary Shape and Two-Sided Estimates of the Tensors.- 5. Inverse Problem of Radiation Theory.- 6. Wave Scattering by a System of Small Bodies; Formulas for the Scattering Amplitude; and Determination of the Medium Properties from the Scattering Data.- 7. Research Problems.- 8. Bibliographical Note.- III. Investigation of a Class of Nonlinear Integral Equations and Applications to Nonlinear Network Theory.- 0. Introduction.- 1. Statement of the Problems and Main Results.- 2. Existence, Uniqueness and Stability of Solutions of Some Nonlinear Operator Equations and an Iterative Process to Solve the Equations.- 3. Existence, Uniqueness, and Stability of the Stationary Regimes in Some Nonlinear Networks. Stability in the Large and Convergence in the Nonlinear Networks.- 4. Stationary Regime in a Nonlinear Feedback Amplifier.- 5. Research Problems.- 6. Bibliographical Note.- IV. Integral Equations Arising in the Open System Theory.- 1. Calculation of the Complex Poles of Green’s Function in Scattering and Diffraction Problems.- 2. Calculation of Diffraction Losses in Some Open Resonators.- 3. Some Spectral Properties of Nonselfadjoint Integral Operators of Diffraction Theory.- 4. Research Problems.- 5. Bibliographical Note.- V. Investigation of Some Integral Equations Arising in Antenna Synthesis.- 1. A Method for Stable Solution of an Equation of the First Kind.- 2. Some Results Concerning the General Antenna Synthesis Problem.- 3. Formula for Approximation by Entire Functions.- 4. Nonlinear Synthesis Problems.- 5. Inverse Diffraction Problems.- 6. Optimal Solution to the Antenna Synthesis Problem.- 7. Research Problems.- 8. Bibliographical Note.- Appendix 1. Stable Solution of the Integral Equation of the Inverse Problem of Potential Theory.- Appendix 2. Iterative Processes for Solving Boundary Value Problems.- Appendix 3. Electromagnetic Wave Scattering by Small Bodies.- Appendix 4. Two-Sided Estimates of the Scattering Amplitude for Low Energies.- Appendix 5. Variational Principles, for Eigenvalues of Compact Nonselfadjoint Operators.- Appendix 6. Boundary-Value Problems with Discontinuous Boundary Conditions.- Appendix 7. Poles of Green’s Function.- Appendix 8. A Uniqueness Theorem for Schrödinger Equation.- Appendix 9. Stable Solution of Integral Equations of the First Kind with Logarithmic Kernels.- Appendix 10. Nonselfadjoint Operators in Diffraction and Scattering.- Appendix 11. On the Basis Property for the Root Vectors of Some Nonselfadjoint Operators.- Bibliographical Notes for Appendices.- List of Symbols.- Author Index.