Nonlinear differential equations in ordered spaces. (©2000)

• Record Type: Book
• Further Information: Note: S. Carl, S. Heikkilä.
• Other Names: Carl, S (Siegfried); Heikkilä, Seppo
• Contents: Cover; Title Page; Copyright Page; Table of Contents; Introduction; 1. Operator equations in ordered spaces and first applications; 1.1. Operator equations in ordered spaces; 1.2. Applications to differential equations; 1.3. Notes and comments; 2. Extremality results for first order differential equations; 2.1. Explicit initial value problems; 2.2. Explicit boundary value problems; 2.3. Explicit functional problems; 2.4. Implicit functional problems; 2.5. Notes and comments; 3. Uniqueness, comparison, and well-posedness results for quasilinear differential equations 3.1. First order boundary value problems3.2. First order initial value problems; 3.3. Well-posedness results; 3.4. Second order problems; 3.5. Notes and comments; 4. Second order functional differential equations; 4.1. Explicit Sturm-Liouville boundary value problems; 4.2. Implicit Sturm-Liouville boundary value problems; 4.3. Convergence of successive approximations; 4.4. Explicit phi-Laplacian problems; 4.5. Implicit phi-Laplacian problems; 4.6. Notes and comments; 5. Extremality results for quasilinear PDE; 5.1. Quasilinear elliptic boundary value problems 5.2. Quasilinear parabolic problems5.3. Discontinuous quasilinear problems; 5.4. Notes and comments; 6. Differential inclusions of hemivariational inequality type; 6.1. Quasilinear elliptic inclusions with state-dependent subdifferentials; 6.2. State-dependent subdifferentials perturbed by discontinuous nonlinearities; 6.3. Elliptic inclusions with generalized gradients; 6.4. Quasilinear parabolic inclusions with state-dependent subdifferentials; 6.5. Notes and comments; 7. Discontinuous implicit elliptic and parabolic problems; 7.1. Statement of the problem and notations; 7.2. Preliminaries 7.3. Main results7.4. Implicit elliptic problems; 7.5. Notes and comments; Appendix; A. Analysis in ordered spaces; B. Inequalities; C. Sobolev spaces; D. Pseudomonotone and quasilinear elliptic operators; E. Nonlinear first order evolution equations; F. Nonsmooth analysis; References; Index
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2000
• Copyright Date: 2000
• Extent: 1 online resource
• Subjects: 515.355; Differential equations; Mathematics; Mathematical physics; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Electronic books
• Languages: English
• ISBNs: 9781482280951; 1482280957; 9781420026160
• Related ISBNs: 142002616X; 1584880686; 9781584880684
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.