Nonlinear Differential Equations in Ordered Spaces

✍ Scribed by S. Carl (Author); Seppo Heikkila (Author)

Publisher: Chapman and Hall/CRC
Year: 2000
Leaves: 330
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Extremality results proved in this Monograph for an abstract operator equation provide the theoretical framework for developing new methods that allow the treatment of a variety of discontinuous initial and boundary value problems for both ordinary and partial differential equations, in explicit and implicit forms. By means of these extremality res

✦ Table of Contents

Operator Equations in Ordered Spaces and First Applications. Extremality Results for First Order Differential Equations. Uniqueness, Comparison and Well-Posedness Results for Quasilinear Differential Equations. Second Order Functional Differential Equations. Extremality Results for Quasilinear PDE. Differential Inclusions of Hemivariational Inequality Type. Discontinuous Implicit EIlliptic and Parabolic Problems. Appendix.

✦ Subjects

Mathematics & Statistics;Advanced Mathematics;Analysis - Mathematics;Differential Equations;Applied Mathematics;Mathematical Physics

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