# Selected Works of Norman Levinson

Hardcover (1997)
$689.00 BN.com price Other sellers (Hardcover) • All (3) from$99.99
• New (1) from $644.28 • Used (2) from$99.99
Sending request ...

### Product Details

• ISBN-13: 9780817639785
• Publisher: Birkh?user Boston
• Publication date: 12/18/1997
• Series: Contemporary Mathematicians Series
• Edition description: 1997
• Edition number: 1
• Pages: 536
• Product dimensions: 7.00 (w) x 10.00 (h) x 1.17 (d)

— 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_0sub\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), A Boundary 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).

## Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

(0)

(0)

(0)

(0)

### 1 Star

(0)

Your Name: Create a Pen Name or

### Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

### Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

### What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

### Reviews should not contain any of the following:

• - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
• - Time-sensitive information such as tour dates, signings, lectures, etc.
• - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
• - Comments focusing on the author or that may ruin the ending for others
• - Phone numbers, addresses, URLs
• - Pricing and availability information or alternative ordering information

### Reminder:

• - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
• - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
Search for Products You'd Like to Recommend

### Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

If you find inappropriate content, please report it to Barnes & Noble
Why is this product inappropriate?