Integral equations

著者

• Hochstadt, Harry

書誌事項

Integral equations

Harry Hochstadt

（Wiley classics library）

Wiley, 1989, c1973

• : hard
• : pbk

注記

"A Wiley-Interscience publication"

Bibliography: p. 279-280

Includes index

内容説明・目次

巻冊次

: hard ISBN 9780471401650

内容説明

This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.

巻冊次

: pbk ISBN 9780471504047

内容説明

This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while developing the most desirable features of each. The seven chapters present an introduction to integral equations, elementary techniques, the theory of compact operators, applications to boundary value problems in more than dimension, a complete treatment of numerous transform techniques, a development of the classical Fredholm technique, and application of the Schauder fixed point theorem to nonlinear equations.

目次

Partial table of contents: BASIC EXISTENCE THEOREMS. Fixed Point Theorems. Volterra Equations. Kernels with Weak Singularities. INTEGRAL EQUATIONS WITH L2 KERNELS. Compact Operators. Positive Operators. Approximation of Eigenvalues. Fredholm Equations with Self-Adjoint Compact Operators. APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS. FOURIER TRANSFORMS. Laplace Transforms. Hankel Transforms. Mellin Transforms. The Weiner-Hopf Technique I. The Weiner-Hopf Technique II. THE FREDHOLM THEORY. NONLINEAR INTEGRAL EQUATIONS. The Schauder Fixed Point Theorem. Index.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA07185225
• ISBN:
  • 047140165X
  • 0471504041
• LCCN: 73004230
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: viii, 282 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA431
  • DC : 515/.45
• 件名:
  • LCSH : Integral equations
• 親書誌ID:
  • BA0437390X