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LEADER: 03280cam a2200361Ii 4500
001 013790674-9
005 20140326134525.0
008 131022t20132013sz b 001 0 eng d
010 $a 2013291023
020 $a3319012541
020 $a9783319012544
035 0 $aocn861257317
040 $aYDXCP$beng$erda$cYDXCP$dTEU$dIXA$dMUU
050 14 $aQA431$b.A433 2013
100 1 $aAgarwal, Ravi P.,$eauthor.
245 10 $aConstant-sign solutions of systems of integral equations /$cRavi P. Agarwal, Donal O'Regan, Patricia J.Y. Wong.
264 1 $aCham ;$aNew York :$bSpringer,$c[2013]
264 4 $c©2013.
300 $axiv, 648 pages ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
504 $aIncludes bibliographical references (pages 639-646) and index.
505 0 $aIntroduction and preliminaries -- System of Fredholm integral equations: existence of a constant-sign solution -- System of Fredholm integral equations: eigenvalues -- System of Fredholm integral equations: triple constant-sign solutions -- System of Fredholm integral equations: existence of a constant-sign L[superscipt]p solution -- System of Fredholm integral equations: semipositone and singular case -- Systems of Fredholm and Volterra integral equations: integrable singularities -- Systems of higher order boundary value problems: integrable singularities -- System of Volterra integral equations: integrable singularities -- Systems of Fredholm and Volterra integral equations: the singular case -- System of singular Fredholm integral equations -- System of singular integral equations of Hammerstein type -- System modeling the spread of interdependent epidemics: constant-sign periodic solutions -- System of Hill's equations: constant-sign periodic solutions -- System of integral equations: constant-sign periodic and almost periodic solutions -- System of Fredholm integral equations: solutions in Orlicz space -- System of Volterra integral equations: constant-sign solutions in Orlicz spaces -- System of Urysohn integral equations: existence of a constant-sign solution -- System of Fredholm integral equations: existence results via Brezis-Browder arguments -- System of Volterra integral equations: existence results via Brezis-Browder arguments.
520 $aThis monograph provides a complete and self-contained account of the theory, methods, and applications of constant-sign solutions of integral equations. In particular, the focus is on different systems of Volterra and Fredholm equations. The presentation is systematic and the material is broken down into several concise chapters. An introductory chapter covers the basic preliminaries. Throughout the book many examples are included to illustrate the theory. The book contains a wealth of results that are both deep and interesting. This unique book will be welcomed by mathematicians working on integral equations, spectral theory, and on applications of fixed point theory and boundary value problems.
650 0 $aIntegral equations.
650 0 $aFunctional analysis.
700 1 $aO'Regan, Donal,$eauthor.
700 1 $aWong, Patricia J. Y.,$eauthor.
899 $a415_565982
988 $a20131002
049 $aHLSS
906 $0OCLC