Boundary Value Problems on Time Scales Volume II

<p><strong>Boundary Value Problems on Time Scales Volume II</strong> is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the</p><p>most recent contributions in this area it addresses a wide audience of specialists such as mathematicians physicists engineers and biologists. It can be used as</p><p>a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes both published by Chapman & Hall/CRC Press.</p><p>Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for</p><p>three four and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results</p><p>for difference equations while other results seem to be totally different in nature. Because of these reasons the theory of dynamic equations is an active area of</p><p>research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models.</p><p>The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations phytoremediation of metals wound</p><p>healing maximization problems in economics and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating</p><p>processes and the phenomena subject to short-time perturbations during their evolution. </p><p>The material in this book is presented in highly readable mathematically solid format. Many practical problems are illustrated displaying a wide variety of</p><p>solution techniques.</p><p>AUTHORS</p><p>Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis functional analysis partial</p><p>differential equations ordinary differential equations Clifford and quaternion analysis integral equations and dynamic calculus on time scales.</p><p>Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University Algeria. In 2015 he received his highest diploma in Habilitation in</p><p>mathematics from Constantine University Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research</p><p>interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence blowup and long-time behavior.</p>