LEADER 03613nam 2200589 450 001 9910647775403321 005 20240202151627.0 010 $a9789811998805$b(electronic bk.) 010 $z9789811998799 024 7 $a10.1007/978-981-19-9880-5 035 $a(MiAaPQ)EBC7191430 035 $a(Au-PeEL)EBL7191430 035 $a(CKB)26089589600041 035 $a(DE-He213)978-981-19-9880-5 035 $a(PPN)268210373 035 $a(EXLCZ)9926089589600041 100 $a20230510d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLinear and nonlinear non-Fredholm operators $etheory and applications /$fMessoud Efendiev 205 $a1st ed. 2023. 210 1$aSingapore :$cSpringer,$d[2023] 210 4$d©2023 215 $a1 online resource (217 pages) 311 08$aPrint version: Efendiev, Messoud Linear and Nonlinear Non-Fredholm Operators Singapore : Springer,c2023 9789811998799 320 $aIncludes bibliographical references and index. 327 $a1 Auxiliary Materials -- 2 Solvability in the sense of sequences: non-Fredholm operators -- 3 Solvability of some integro-differential equations with mixed diffusion -- 4 Existence of solutions for some non-Fredholm integro-differential equations with mixed diffusion -- 5 Non-Fredholm Schrödinger type operators. 330 $aThis book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this book is to invite readers to make contributions to this fascinating area of mathematics. First, it is worth noting that linear Fredholm operators, one of the most important classes of linear maps in mathematics, were introduced around 1900 in the study of integral operators. These linear Fredholm operators between Banach spaces share, in some sense, many properties with linear maps between finite dimensional spaces. Since the end of the previous century there has been renewed interest in linear ? nonlinear Fredholm maps from a topological degree point of view and its applications, following a period of ?stagnation" in the mid-1960s. Now, linear and nonlinear Fredholm operator theory and the solvability of corresponding equations both from the analytical and topological points of view are quite well understood. Also noteworthy is, that as a by-product of our results, we have obtained an important tool for modelers working in mathematical biology and mathematical medicine, namely, the necessary conditions for preserving positive cones for systems of equations without Fredholm property containing local ? nonlocal diffusion as well as terms for transport and nonlinear interactions. 606 $aFredholm operators 606 $aLinear operators 606 $aNonlinear operators 606 $aOperadors lineals$2thub 606 $aOperadors no lineals$2thub 606 $aOperadors de Fredholm$2thub 608 $aLlibres electrònics$2thub 615 0$aFredholm operators. 615 0$aLinear operators. 615 0$aNonlinear operators. 615 7$aOperadors lineals 615 7$aOperadors no lineals 615 7$aOperadors de Fredholm 676 $a515.7246 700 $aEfendiev$b Messoud$0767841 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910647775403321 996 $aLinear and Nonlinear Non-Fredholm Operators$93016714 997 $aUNINA