LEADER 03446nam 22005775 450 001 9910300253003321 005 20250717140320.0 010 $a94-6239-127-0 024 7 $a10.2991/978-94-6239-127-7 035 $a(CKB)3710000000484706 035 $a(EBL)4179231 035 $a(SSID)ssj0001585569 035 $a(PQKBManifestationID)16264121 035 $a(PQKBTitleCode)TC0001585569 035 $a(PQKBWorkID)14864095 035 $a(PQKB)10467164 035 $a(DE-He213)978-94-6239-127-7 035 $a(MiAaPQ)EBC4179231 035 $a(PPN)19052717X 035 $a(EXLCZ)993710000000484706 100 $a20150929d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aState-Dependent Impulses $eBoundary Value Problems on Compact Interval /$fby Irena Rach?nková, Jan Tome?ek 205 $a1st ed. 2015. 210 1$aParis :$cAtlantis Press :$cImprint: Atlantis Press,$d2015. 215 $a1 online resource (194 p.) 225 1 $aAtlantis Briefs in Differential Equations,$x2405-6413 ;$v6 300 $aDescription based upon print version of record. 311 08$a94-6239-126-2 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Second Order Problem with Nonlinear Boundary Conditions -- Dirichlet Problem with Time Singularities -- Dirichlet Problem with Space Singularities -- Systems of Differential Equations and Higher-Order Differential Equations with General Linear Boundary Conditions -- Dirichlet Problem with One Impulse Condition -- Dirichlet Problem via Lower and Upper Functions -- Sturm-Liouville Problem -- Higher Order Equation with General Linear Boundary Conditions -- First Order System with Linear Boundary Conditions. 330 $aThis book offers the reader a new approach to the solvability of boundary value problems with state-dependent impulses and provides recently obtained existence results for state dependent impulsive problems with general linear boundary conditions. It covers fixed-time impulsive boundary value problems both regular and singular and deals with higher order differential equations or with systems that are subject to general linear boundary conditions. We treat state-dependent impulsive boundary value problems, including a new approach giving effective conditions for the solvability of the Dirichlet problem with one state-dependent impulse condition and we show that the depicted approach can be extended to problems with a finite number of state-dependent impulses. We investigate the Sturm?Liouville boundary value problem for a more general right-hand side of a differential equation. Finally, we offer generalizations to higher order differential equations or differential systems subject to general linear boundary conditions. 410 0$aAtlantis Briefs in Differential Equations,$x2405-6413 ;$v6 606 $aDifferential equations 606 $aDifferential Equations 615 0$aDifferential equations. 615 14$aDifferential Equations. 676 $a510 700 $aRach?nková$b Irena$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755741 702 $aTome?ek$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300253003321 996 $aState-Dependent Impulses$92502872 997 $aUNINA