Solution Sets for Differential Equations and Inclusions / / Smaïl Djebali, Lech Górniewicz, Abdelghani Ouahab.

This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techni...

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 18
Online Access:
Physical Description:1 online resource (453 p.)
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245 1 0 |a Solution Sets for Differential Equations and Inclusions /  |c Smaïl Djebali, Lech Górniewicz, Abdelghani Ouahab. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2012] 
264 4 |c ©2012 
300 |a 1 online resource (453 p.) 
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490 0 |a De Gruyter Series in Nonlinear Analysis and Applications ,  |x 0941-813X ;  |v 18 
505 0 0 |t Frontmatter --   |t Preface --   |t Notations --   |t Contents --   |t Chapter 1. Topological structure of fixed point sets --   |t Chapter 2. Existence theory for differential equations and inclusions --   |t Chapter 3. Solution sets for differential equations and inclusions --   |t Chapter 4. Impulsive differential inclusions: existence and solution sets --   |t Chapter 5. Preliminary notions of topology and homology --   |t Chapter 6. Background in multi-valued analysis --   |t Appendix --   |t References --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a This monograph gives a systematic presentation of classical and recent results obtained in the last couple of years. It comprehensively describes the methods concerning the topological structure of fixed point sets and solution sets for differential equations and inclusions. Many of the basic techniques and results recently developed about this theory are presented, as well as the literature that is disseminated and scattered in several papers of pioneering researchers who developed the functional analytic framework of this field over the past few decades. Several examples of applications relating to initial and boundary value problems are discussed in detail. The book is intended to advanced graduate researchers and instructors active in research areas with interests in topological properties of fixed point mappings and applications; it also aims to provide students with the necessary understanding of the subject with no deep background material needed. This monograph fills the vacuum in the literature regarding the topological structure of fixed point sets and its applications. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Boundary value problems. 
650 0 |a Differential equations  |x Numerical solutions. 
650 0 |a Differential inclusions. 
650 0 |a Fixed point theory. 
650 4 |a differential equations. 
650 4 |a fixed point sets. 
650 4 |a functional differential inclusions. 
650 4 |a impulsive differential equations. 
650 4 |a solution sets. 
650 7 |a MATHEMATICS / Differential Equations / General.  |2 bisacsh 
653 |a Differential Equation. 
653 |a Differential Inclusion. 
653 |a Fixed Point Sets. 
653 |a Functional Differential Inclusions. 
653 |a Impulsive Differential Equation. 
653 |a Impulsive Differential Inclusion. 
653 |a Impulsive Semilinear Differential Equation. 
653 |a Impulsive Semilinear Differential Inclusion. 
653 |a Mild Solution. 
653 |a Semigroup. 
653 |a Solution Set. 
700 1 |a Górniewicz, Lech,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Ouahab, Abdelghani,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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