Nonlinear Differential Equations in Ordered Spaces is popular PDF and ePub book, written by S. Carl in 2000-06-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Differential Equations in Ordered Spaces can be Read Online from any device for your convenience.
Nonlinear Differential Equations in Ordered Spaces Book PDF Summary
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 results, the authors prove the existence of extremal solutions between appropriate upper and lower solutions of first and second order discontinuous implicit and explicit ordinary and functional differential equations. They then study the dependence of these extremal solutions on the data. The authors begin by developing an existence theory for an abstract operator equation in ordered spaces and offer new tools for dealing with different kinds of discontinuous implicit and explicit differential equation problems. They present a unified approach to the existence of extremal solutions of quasilinear elliptic and parabolic problems and extend the upper and lower solution method to elliptic and parabolic inclusion of hemivariation type using variational and nonvariational methods. Nonlinear Differential Equations in Ordered Spaces includes research that appears for the first time in book form and is designed as a source book for pure and applied mathematicians. Its self-contained presentation along with numerous worked examples and complete, detailed proofs also make it accessible to researchers in engineering as well as advanced students in these fields.
Detail Book of Nonlinear Differential Equations in Ordered Spaces PDF
- Author : S. Carl
- Release : 14 June 2000
- Publisher : CRC Press
- ISBN : 1584880686
- Genre : Mathematics
- Total Page : 338 pages
- Language : English
- PDF File Size : 20,6 Mb
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