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Cover Art
PRINTED BOOKS
Author Carl, S. (Siegfried)

Title Nonlinear differential equations in ordered spaces / S. Carl, S. Heikkilä.

Published Boca Raton, Fla. ; London : Chapman & Hall, [2000]
©2000

Copies

Location Call No. Status
 UniM ERC  515.355 CARL    AVAILABLE
Physical description vi, 323 pages ; 25 cm.
Series Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 111.
Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 111.
Bibliography Includes bibliographical references and index.
Contents 1. Operator equations in ordered spaces and first applications 7 -- 1.1. Operator equations in ordered spaces 7 -- 1.2. Applications to differential equations 11 -- 2. Extremality results for first order differential equations 21 -- 2.1. Explicit initial value problems 22 -- 2.2. Explicit boundary value problems 36 -- 2.3. Explicit functional problems 47 -- 2.4. Implicit functional problems 55 -- 3. Uniqueness, comparison, and well-posedness results for quasilinear differential equations 67 -- 3.1. First order boundary value problems 68 -- 3.2. First order initial value problems 73 -- 3.3. Well-posedness results 81 -- 3.4. Second order problems 89 -- 4. Second order functional differential equations 105 -- 4.1. Explicit Sturm-Liouville boundary value problems 106 -- 4.2. Implicit Sturm-Liouville boundary value problems 115 -- 4.3. Convergence of successive approximations 121 -- 4.4. Explicit phi-Laplacian problems 132 -- 4.5. Implicit phi-Laplacian problems 142 -- 5. Extremality results for quasilinear PDE 153 -- 5.1. Quasilinear elliptic boundary value problems 154 -- 5.2. Quasilinear parabolic problems 171 -- 5.3. Discontinuous quasilinear problems 184 -- 6. Differential inclusions of hemivariational inequality type 191 -- 6.1. Quasilinear elliptic inclusions with state-dependent subdifferentials 192 -- 6.2. State-dependent subdifferentials perturbed by discontinuous nonlinearities 207 -- 6.3. Elliptic inclusions with generalized gradients 213 -- 6.4. Quasilinear parabolic inclusions with state-dependent subdifferentials 229 -- 7. Discontinuous implicit elliptic and parabolic problems 253 -- 7.1. Statement of the problem and notations 253 -- 7.2. Preliminaries 255 -- 7.3. Main results 260 -- 7.4. Implicit elliptic problems 270 -- A. Analysis in ordered spaces 277 -- B. Inequalities 282 -- C. Sobolev spaces 285 -- D. Pseudomonotone and quasilinear elliptic operators 289 -- E. Nonlinear first order evolution equations 292 -- F. Nonsmooth analysis 298.
Other author Heikkilä, Seppo.
Subject Differential equations, Nonlinear.
Ordered topological spaces.
ISBN 1584880686 : No price