LEADER 03683oam 2200493 450 001 9910438032003321 005 20190911112725.0 010 $a3-319-01255-X 024 7 $a10.1007/978-3-319-01255-1 035 $a(OCoLC)859594910 035 $a(MiFhGG)GVRL6VEI 035 $a(EXLCZ)993710000000019096 100 $a20130729d2013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aConstant-sign solutions of systems of integral equations /$fRavi P. Agarwal, Donal O'Regan, Patricia J.Y. Wong 205 $a1st ed. 2013. 210 1$aCham, Switzerland :$cSpringer,$d2013. 215 $a1 online resource (xiv, 648 pages) 225 0 $aGale eBooks 300 $aDescription based upon print version of record. 311 $a3-319-01254-1 320 $aIncludes bibliographical references and index. 327 $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 Lp 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 Spaces -- 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 -- Bibliography -- Subject Index. 330 $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.    . 606 $aIntegral equations 606 $aFunctional analysis 615 0$aIntegral equations. 615 0$aFunctional analysis. 676 $a515 676 $a515.352 676 $a515/.45 700 $aAgarwal$b Ravi P$4aut$4http://id.loc.gov/vocabulary/relators/aut$041786 702 $aO'Regan$b Donal 702 $aWong$b Patricia J. Y. 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910438032003321 996 $aConstant-Sign Solutions of Systems of Integral Equations$92518561 997 $aUNINA