| Other author/creator | Popa, Dorian. |
| Other author/creator | Rasa, Ioan. |
| Other author/creator | Xu, Bing. |
| Other author/creator | Ulam, Stanislaw M. |
| Series |
Mathematical analysis and its applications series
Mathematical analysis and its applications. UNAUTHORIZED
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| Contents |
Machine generated contents note: 1. Introduction to Ulam stability theory -- 1. Historical background -- 2. Stability of additive mapping -- 3. Approximate isometries -- 4. Other functional equations and inequalities in several variables -- 5. Stability of functional equations in a single variable -- 6. Iterative stability -- 7. Differential and integral equations -- 8. Superstability and hyperstability -- 9. Composite type equations -- 10. Nonstability -- References -- 2. Operators in normed spaces -- 1. Introduction -- 2. Ulam stability with respect to gauges -- 3. Closed operators -- 4. Some differential operators on bounded intervals -- 5. Stability of the linear differential operator with respect to different norms -- 6. Some classical operators from the approximation theory -- 6.1. Bernstein operators -- 6.2. Szasz-Mirakjan operators -- 6.3. Other classical operators -- 6.4. |
| Contents |
Integral operators -- 6.5. Bernstein-Schnabl operators -- References -- 3. Ulam stability of differential operators -- 1. Introduction -- 2. Linear differential equation of the first order -- 3. Linear differential equation of a higher order with constant coefficients -- 4. First-order linear differential operator -- 5. Higher-order linear differential operator -- 6. Partial differential equations -- 7. Laplace operator -- References -- 4. Best constant in Ulam stability -- 1. Introduction -- 2. Best constant for Cauchy, Jensen, and Quadratic functional equations -- 3. Best constant for linear operators -- 3.1. Stancu operators -- 3.2. Kantorovich operators -- 3.3. An extremal property of K(Bn) -- 4. Ulam stability of operators with respect to different norms -- References -- 5. Ulam stability of operators of polynomial form -- 1. Introduction -- 2. Auxiliary results -- 3. |
| Contents |
A general stability theorem -- 4. Complementary results for the second-order equations -- 5. Linear difference equation with constant coefficients -- 6. Difference equation with a matrix coefficient -- 7. Linear functional equations with constant coefficients -- 8. Linear differential equations -- 9. Integral equations -- References -- 6. Nonstability theory -- 1. Preliminary information -- 2. Possible definitions of nonstability -- 3. Linear difference equation of the first order -- 4. Linear difference equation of a higher order -- 5. Linear functional equation of the first order -- 6. Linear functional equation of a higher order -- References. |
| Bibliography note | Includes bibliographical references and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2017949259 |
| ISBN | 9780128098295 |
| ISBN | 0128098295 |
