Nonlinear Differential Equations in Ordered Spaces

Nonlinear Differential Equations in Ordered Spaces provides 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. This volume includes research that appears for the first time in book form and is designed as a source book for pure and applied mathematicians. However, the self-contained presentation along with numerous worked examples and complete, detailed proofs make this book accessible to researchers in engineering as well as advanced students in these fields.

Texte du rabat

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

Contenu

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.