LEADER 03916nam 22006495 450 001 9910483541103321 005 20251113185001.0 010 $a3-030-69029-6 024 7 $a10.1007/978-3-030-69029-8 035 $a(CKB)4100000011881165 035 $a(MiAaPQ)EBC6550454 035 $a(Au-PeEL)EBL6550454 035 $a(OCoLC)1246350860 035 $a(PPN)255295707 035 $a(DE-He213)978-3-030-69029-8 035 $a(EXLCZ)994100000011881165 100 $a20210412d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLyapunov Inequalities and Applications /$fby Ravi P. Agarwal, Martin Bohner, Abdullah Özbekler 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (xiii, 607 pages) 225 1 $aMathematics and Statistics Series 311 08$a3-030-69028-8 320 $aIncludes bibliographical references and index. 327 $aPreface -- Lyapunov-Type Inequalities for Second-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations -- Lyapunov-Type Inequalities for Half-Linear Differential Equations -- Lyapunov-Type Inequalities for Nonlinear Differential Systems -- Lyapunov-Type Inequalities for Fractional Differential Equations -- Lyapunov-Type Inequalities for Partial Differential Equations -- Lyapunov-Type Inequalities for Difference Equations -- Lyapunov-Type Inequalities for Dynamic Equations on Time Scales -- References -- Index. 330 $aThis book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov?s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems. Senior undergraduate students and graduate students of mathematics, engineering,and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content. 410 0$aMathematics and Statistics Series 606 $aMathematical analysis 606 $aDifferential equations 606 $aDifference equations 606 $aFunctional equations 606 $aAnalysis 606 $aDifferential Equations 606 $aDifference and Functional Equations 615 0$aMathematical analysis. 615 0$aDifferential equations. 615 0$aDifference equations. 615 0$aFunctional equations. 615 14$aAnalysis. 615 24$aDifferential Equations. 615 24$aDifference and Functional Equations. 676 $a003.75 700 $aAgarwal$b Ravi P.$041786 702 $aBohner$b Martin$f1966- 702 $aO?zbekler$b Abdullah 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483541103321 996 $aLyapunov inequalities and applications$91901346 997 $aUNINA