Multiplicative Differential Equations

Volume II
1. Auflage 2023
ISBN: 978-1-032-49584-2
Verlag: Chapman and Hall/CRC

Buch, Englisch, 369 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 719 g

Multiplicative Differential Equations: Volume II is the second part of a comprehensive approach to the subject. It continues a series of books written by the authors on multiplicative, geometric approaches to key mathematical topics. This volume is devoted to the theory of multiplicative differential systems. The asymptotic behavior of the solutions of such systems is studied. Stability theory for multiplicative linear and nonlinear systems is introduced and boundary value problems for second-order multiplicative linear and nonlinear equations are explored. The authors also present first-order multiplicative partial differential equations. Each chapter ends with a section of practical problems. The text is accessible to graduate students and researchers in mathematics, physics, engineering and biology.

Zielgruppe

Postgraduate, Professional, and Professional Reference

Autoren/Hrsg.

Georgiev, Svetlin

Zennir, Khaled

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

1. Systems Multiplicative Differential Equations. 2. Qualitative Analysis of Multiplicative Differential Systems. 3. Stability Theory. 4. Multiplicative Linear Boundary Value Problems. 5. Multiplicative Nonlinear MDEs. 6. First Order MPDE.

Über Autor(innen)

Svetlin G. Georgiev (born 05 April 1974, Rouse, Bulgaria) is a mathematician who has worked in various areas of mathematics. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations and dynamic calculus on time scales.

Khaled Zennir was born in Skikda, Algeria, in 1982. He received his PhD in Mathematics in 2013 from Sidi Bel Abbès University, Algeria (Assist. Professor). He obtained his highest diploma in Algeria (Habilitation, Mathematics) from Constantine University, Algeria, in May 2015 (Assoc. Professor). He is now Associate Professor at Qassim University, KSA. His research interests lie in nonlinear hyperbolic partial differential equations: global existence, blow-up and long time behavior.