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Book synopsis

This 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.§

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: State-Dependent Impulses
• Subtitle: Boundary Value Problems on Compact Intervals
• Author: Irena Rachunková, Jan Tomecek
• Language: English
• Binding: Paperback
• Number of pages: 190
• EAN: 9789462391260
• ISBN: 9462391262
• ID: 09250792
• Publisher: Atlantis Press (Zeger Karssen)
• Weight: 3226 g
• Dimensions: 235 × 155 × 11 mm
• Date of publishing: 29. September 2015

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