Generalized ß- Impulsive Equations

1. Auflage 2026
ISBN: 978-1-041-36250-0
Verlag: Taylor & Francis Ltd

Buch, Englisch, 280 Seiten, Format (B × H): 156 mm x 234 mm

Reihe: Advances in Applied Mathematics

This book is devoted to a systematic and comprehensive study of existence, stability, boundary value problems, oscillatory behavior, and linear systems associated with generalized quantum impulsive differential equations.

In recent decades, the rapid development of quantum calculus—calculus without limits—together with the theory of impulsive differential equations has opened new and fertile directions for research. The synthesis of these two domains has led to the emergence of generalized quantum impulsive differential equations, a field that captures both discrete–continuous hybrid behavior and sudden state changes within a non-classical calculus setting.

This book aims to provide both a rigorous theoretical foundation and practical analytical tools for researchers, graduate students, and specialists working in nonlinear analysis, dynamic equations, and applied mathematics.

Zielgruppe

Postgraduate and Undergraduate Advanced

Autoren/Hrsg.

Georgiev, Svetlin G.

Zennir, Khaled

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. First Order Generalized Quantum Impulsive Differential Equations 2. Boundary Value Problems for First Order Generalized Quantum Impulsive Differential Equations  3. Existence of Second Order Generalized Quantum Impulsive Differential Equations  4. Boundary Value Problems for Second Order Generalized Quantum Impulsive Differential Equations  5. Oscillations of Generalized Quantum Impulsive Differential Equations  6. Linear Generalized Quantum Impulsive Differential Systems

Über Autor(innen)

Svetlin G. Georgiev 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, dynamic calculus on time scales. He has authored several books for CRC press, including: Boundary Value Problems on Time Scales Volume I, (2021); Boundary Value Problems on Time Scales Volume II, (2021); Multiple Fixed Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, (2022); Multiplicative Differential Calculus, (2022); Multiplicative Analytic Geometry, (2022); Multiplicative Differential Equations- Volume I, (2023); Multiplicative Differential Equations- Volume II, (2023); Multiplicative Partial Differential Equations, (2023); General Quantum Numerical Analysis, (2024); General Quantum Variational Calculus, (2024); Fuzzy Impulsive Dynamic Equations on Time Scales, (2025).

Khaled Zennir is a professor at Qassim University, Saudi Arabia. His research interests lie in nonlinear partial differential equations, stochastic dynamic equations, fractional derivatives. He has published more than twelve books with CRC Press, including: Boundary Value Problems on Time Scales Volume I, (2021); Boundary Value Problems on Time Scales Volume II, (2021); Multiple Fixed Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs, (2022); Multiplicative Differential Calculus, (2022); Multiplicative Analytic Geometry, (2022); Multiplicative Differential Equations- Volume I, (2023); Multiplicative Differential Equations- Volume II, (2023); Multiplicative Partial Differential Equations, (2023); General Quantum Numerical Analysis, (2024); General Quantum Variational Calculus, (2024); Fuzzy Impulsive Dynamic Equations on Time Scales, (2025).