1st Edition

Generalized ß- Impulsive Equations

By Svetlin G. Georgiev, Khaled Zennir Copyright 2027
260 Pages
by Chapman & Hall

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... Read more

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

Biography

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).