LEADER 02949nam 22005895 450 001 9910148787003321 005 20250717140243.0 010 $a94-6239-228-5 024 7 $a10.2991/978-94-6239-228-1 035 $a(CKB)3710000000922881 035 $a(DE-He213)978-94-6239-228-1 035 $a(MiAaPQ)EBC4730840 035 $a(PPN)196321018 035 $a(EXLCZ)993710000000922881 100 $a20161019d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntegral Equations on Time Scales /$fby Svetlin G. Georgiev 205 $a1st ed. 2016. 210 1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2016. 215 $a1 online resource (IX, 402 p.) 225 1 $aAtlantis Studies in Dynamical Systems,$x2213-3534 ;$v5 311 08$a94-6239-227-7 320 $aIncludes bibliographical references and index. 327 $a1. Elements of the Time Scale Calculus -- 2. Introductory Concepts of Integral Equations on Time Scales -- 3. Generalized Volterra Integral Equations -- 4. Generalized Volterra Integro-Differential Equations -- 5. Generalized Fredholm Integral Equations -- 6. Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels -- 7. The Laplace Transform Method -- 8. The Series Solution Method -- 9. Non-Linear Generalized Integral Equations. 330 $aThis book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background. 410 0$aAtlantis Studies in Dynamical Systems,$x2213-3534 ;$v5 606 $aDifferential equations 606 $aIntegral equations 606 $aNumerical analysis 606 $aFunctional analysis 606 $aDifferential Equations 606 $aIntegral Equations 606 $aNumerical Analysis 606 $aFunctional Analysis 615 0$aDifferential equations. 615 0$aIntegral equations. 615 0$aNumerical analysis. 615 0$aFunctional analysis. 615 14$aDifferential Equations. 615 24$aIntegral Equations. 615 24$aNumerical Analysis. 615 24$aFunctional Analysis. 676 $a515.352 700 $aGeorgiev$b Svetlin$4aut$4http://id.loc.gov/vocabulary/relators/aut$01218802 906 $aBOOK 912 $a9910148787003321 996 $aIntegral Equations on Time Scales$94492743 997 $aUNINA