Tout au long de sa vie, Alexandre a tenu de nombreux carnets où il retranscrivait non pas simplement, au fil des jours, les évènements qui jalonnaient notre vie mais les pensées, les sentiments, les réactions tant physiques que psychologiques que ceux-ci éveillaient en lui.Aujourd'hui, je vous donne à lire le premier carnet qui se situe au début des années 90 et qui, jusqu'à aujourd'hui, n'était que pour nous deux. En le lisant vous allez entrer dans notre intimité la plus secrète. Alexandre s'y livre sans fard, sans aucun filtre. De manière parfois assez crue et violente. Ecriture quasi automatique de sa part sans retenue aucune qui ne donne lieu à aucune rature. Il se peut que certains propos vous choquent par leur intensité. Mais plus que tout, ce carnet est un hymne d'amour. L'amour qu'Alexandre éprouvait pour moi et qui me manque tant aujourd'hui.Alexandre était ainsi. Passionné. Intense. Fragile. Amoureux. Libre.
This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line (Sturm-Liouville and Lidstone types, impulsive, functional and problems defined by Hammerstein integral equations). It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators.The reader will find a selection of original and recent results in this field, conditions to obtain solutions with particular qualitative properties, such as homoclinic and heteroclinic solutions and its relation with the solutions of Lidstone problems on all the real line.Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases.The last part features some higher order functional problems, which generalize the classical two-point or multi-point boundary conditions, to more comprehensive data where an overall behavior of the unknown functions and their derivatives is involved.
This book is the second volume of a compilation of lecture notes on various topics in nonlinear physics delivered by specialists during the summer schools organized by the Institut Non Linaeaire de Nice ... in Peyresq ... since 1998. The first volume, edited by R. Kaiser and J. Montaldi, contains courses from the years 1998 and 1999. This volume collects notes of the lectures given from the summers of 2000, 2001 and 2002"--Preface, v. 2.
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