Selected Works of Norman Levinson
Birkhauser Boston Inc (Verlag)
978-0-8176-3978-5 (ISBN)
— Volume 1.- I. Stability and Asymptotic Behavior of Solutions of Ordinary Differential Equations.- Commentary on [L 31] and [L 36].- [L 20] The Growth of the Solutions of a Differential Equation (1941).- [L 24] (with Mary L. Boas and R. P. Boas, Jr.), The Growth of the Solutions of a Differential Equation (1942).- [L 31] The Asymptotic Behavior of a System of Linear Differential Equations (1946).- [L 36] The Asymptotic Nature of Solutions of Linear Systems of Differential Equations (1948).- [L 40] On Stability of Non-Linear Systems of Differential Equations (1949).- [L 68] (with R. R. D. Kemp), On $$u/prime /prime + /left( {1 + /lambda g/left( x /right)} /right)u = 0$$ for $$/int_0^/infty {/left| {g/left( x /right)} /right|dx}(1949).- [L 42] Determination of the Potential from the Asymptotic Phase (1949).- [L 43] The Inverse Sturm-Liouville Problem (1949).- [L 58] Certain Explicit Relationships between Phase Shift and Scattering Potential (1953).- IV. Eigenfunction Expansions and Spectral Theory for Ordinary Differential Equations.- Commentary on [L 49], [L 51], and [L 59].- [L 39] Criteria for the Limit-Point Case for Second Order Linear Differential Operators (1949).- [L 49] A Simplified Proof of the Expansions Theorem for Singular Second Order Linear Differential Equations (1951).- [L 50] Addendum to “A Simplified Proof of the Expansions Theorem for Singular Second Order Linear Differential Equations” (1951).- [L 51] (with E. A. Coddington), On the Nature of the Spectrum of Singular Second Order Linear Differential Equations (1951).- [L 53] TheL-Closure of Eigenfunctions Associated with Selfadjoint Boundary Value Problems (1952).- [L 59] The Expansion Theorem for Singular Self-Adjoint Linear Differential Operators (1954).- [L 65] Transform and Inverse Transform Expansions for Singular Self-Adjoint Differential Operators (1958).- V. Singular Perturbations of Ordinary and Partial Differential Equations.- Commentary on [L 45], [L 48], [L 60], [L 62], [L 63], [L 67], [L 56] and [L 46].- [L 45] Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations (1950).- [L 48] An Ordinary Differential Equation with an Interval of Stability, a Separation Point, and an Interval of Instability (1950).- [L 60] (with J. J. Levin), Singular Perturbations of Non-Linear Systems of Differential Equations and an Associated Boundary Layer Equation (1954).- [L 62] (with L. Flatto), Periodic Solutions of Singularly Perturbed Systems (1955).- [L 56] (with E. A. Coddington), ABoundary Value Problem for a Nonlinear Differential Equation with a Small Parameter (1952).- [L 63] (with S. Haber), A Boundary Value Problem for a Singularly Perturbed Differential Equation (1955).- [L 67] A Boundary Value Problem for a Singularly Perturbed Differential Equation (1958).- [L 46] The First Boundary Value Problem for$$ /in /Delta + {/rm A}/left( {x,y} /right){u_x} + {/rm B}/left( {x,y} /right){u_y} + C/left( {x,y} /right)u = D/left( {x,y} /right)$$ for small ? (1950).- VI. Elliptic Partial Differential Equations.- Commentary on [L 75], [L 78], [L 87].- [L 75] Positive Eigenfunctions for $$/Delta u + /lambda f/left( u /right) = 0$$ (1962).- [L 78] Dirichlet Problem for $$/Delta u = f/left( {{/rm P},u} /right)$$ (1963).- [L 87] One-Sided Inequalities for Elliptic Differential Operators (1965).- VII. Integral Equations.- Commentary on [L 73].- [L 32] On the Asymptotic Shape of the Cavity Behind an Axially Symmetric Nose Moving Through an Ideal Fluid (1946).- [L 73] A Nonlinear Volterra Equation Arising in the Theory of Superfluidity (1960).- [L 89] Simplified Treatment of Integrals of Cauchy Type, the Hilbert Problem and Singular Integral Equations. Appendix: Poincare-Bertrand Formula (1965).
Erscheint lt. Verlag | 18.12.1997 |
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Reihe/Serie | Contemporary Mathematicians | Selected Papers of Norman Levinson | 1.10 |
Zusatzinfo | XL, 536 p. |
Verlagsort | Secaucus |
Sprache | englisch |
Maße | 178 x 254 mm |
Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
ISBN-10 | 0-8176-3978-0 / 0817639780 |
ISBN-13 | 978-0-8176-3978-5 / 9780817639785 |
Zustand | Neuware |
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