01082nam a2200277 i 4500991002466199707536140326s1999 it a 000 0 ita 8886426054b14178862-39ule_instDip.to Biologiaeng66122Petrone, Vincenzo 479157L'Industria chimica :problemi, processi, prospettive /Vincenzo Petrone2nd ed.Roma :Siderea,[1999]589 p., [3] folded :ill. ;24 cm Includes bibliography (pp. [565]-569) Includes glossary (pp.[571]-576)Incudes analytical index (pp. [577]-589) Chemical industryItaly.b1417886227-03-1426-03-14991002466199707536LE003 RON 661 PET01.01 (1999) [Fondo Ronzini: dislocato c/o il Laboratorio di Chimica organica]1le003gE0.00-n- 00000.i1560036126-03-14Industria chimica259499UNISALENTOle00326-03-14ma itait 2004508nam 2200673 450 991079666340332120230808202716.03-11-038735-23-11-037844-210.1515/9783110378443(CKB)3850000000001072(EBL)4714784(MiAaPQ)EBC4714784(DE-B1597)429945(OCoLC)959988756(OCoLC)960759620(DE-B1597)9783110378443(Au-PeEL)EBL4714784(CaPaEBR)ebr11279837(CaONFJC)MIL961930(EXLCZ)99385000000000107220161227h20162016 uy 0engur|n|---|||||rdacontentrdamediardacarrierGeneralized inverse operators and Fredholm boundary-value problems /Alexander A. Boichuk, Anatolii M. Samoilenko2nd ed.Berlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2016.©20161 online resource (314 p.)Inverse and Ill-Posed Problems Series,1381-4524 ;Volume 59Description based upon print version of record.3-11-037845-0 3-11-037839-6 Includes bibliographical references.Frontmatter -- Contents -- Preface -- Preface to the second edition -- Notation -- Chapter 1. Preliminary Information -- Chapter 2. Generalized Inverse Operators in Banach Spaces -- Chapter 3. Pseudoinverse Operators in Hilbert Spaces -- Chapter 4. Boundary-Value Problems for Operator Equations -- Chapter 5. Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 6. Impulsive Boundary-Value Problems for Systems of Ordinary Differential Equations -- Chapter 7. Solutions of Differential and Difference Systems Bounded on the Entire Real Axis -- Epilogue -- Bibliography -- BackmatterThe book is devoted to the foundations of the theory of boundary-value problems for various classes of systems of differential-operator equations whose linear part is represented by Fredholm operators of the general form. A common point of view on numerous classes of problems that were traditionally studied independently of each other enables us to study, in a natural way, the theory of these problems, to supplement and improve the existing results, and in certain cases, study some of these problems for the first time.With the help of the technique of generalized inverse operators, the Vishik- Lyusternik method, and iterative methods, we perform a detailed investigation of the problems of existence, bifurcations, and branching of the solutions of linear and nonlinear boundary-value problems for various classes of differential-operator systems and propose new procedures for their construction.For more than 11 years that have passed since the appearance of the first edition of the monograph, numerous new publications of the authors in this direction have appeared. In this connection, it became necessary to make some additions and corrections to the previous extensively cited edition, which is still of signifi cant interest for the researchers.For researchers, teachers, post-graduate students, and students of physical and mathematical departments of universities. Contents:Preliminary InformationGeneralized Inverse Operators in Banach SpacesPseudoinverse Operators in Hilbert SpacesBoundary-Value Problems for Operator EquationsBoundary-Value Problems for Systems of Ordinary Differential EquationsImpulsive Boundary-Value Problems for Systems of Ordinary Differential EquationsSolutions of Differential and Difference Systems Bounded on the Entire Real Axis Inverse and ill-posed problems series ;Volume 59.Fredholm equationsBoundary value problemsBanach spacesOperator theoryFredholm equations.Boundary value problems.Banach spaces.Operator theory.515/.35SK 620SEPArvkBoĭchuk A. A(Aleksandr Andreevich),1499318Samoĭlenko A. M(Anatoliĭ Mikhaĭlovich),MiAaPQMiAaPQMiAaPQBOOK9910796663403321Generalized inverse operators3725247UNINA