Advanced Topics On Semilinear Evolution Equations
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?-periodic
A01=Abdelkrim Salim
A01=Gaston Mandata N'guerekata
A01=Mouffak Benchohra
Abstract Differential Equations
Abstract Random Differential Equations
Approximate Controllability
Asymptotically Almost Automorphic Functions
Attractivity
Author_Abdelkrim Salim
Author_Gaston Mandata N'guerekata
Author_Mouffak Benchohra
AZA(C)-periodic
Category=PBKF
Category=PBKJ
Complete Controllability
Condensing Operator
Controllability
Cosine and Sine Families
Darbo Fixed Point
Densely Defined Operator
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Evolution System
Finite Delay
Fixed Point
FrAfA(C)chet Spaces
Frechet Spaces
Functional Differential Equation
Functional Evolution Inclusion
Generalized Banach Space
Infinite Delay
Integral Solution
Integro-Differential Inclusion
Kuratowski Measures of Noncompactness
M-set Contractive
Neutral System
Non-instantaneous Impulses
Nondensely Defined Operator
Nonlinear Alternative
Optimal Control
PoincarAfA(C) Operator
Poincare Operator
Random Solution
Resolvent Operator
S-asymptotically ?-periodic
S-asymptotically AZA(C)-periodic
Sasymptotic Mild Solution
Second-Order Integrodifferential Equation
Second-Order Nonautonomous Differential Equations
Semigroup Theory
Semilinear Evolution Equation
Solution Operator
State-dependent Delay
State-dependent Nonlocal Condition
Product details
- ISBN 9789819803187
- Publication Date: 07 Feb 2025
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Differential evolution equations serve as mathematical representations that capture the progression or transformation of functions or systems as time passes. Currently, differential equations continue to be an active and thriving area of study, with continuous advancements in mathematical methodologies and their practical applications spanning diverse fields such as physics, engineering, and economics. In the late 20th century, the notion of "Differential Evolution Equations" emerged as a distinct field applied to optimization and machine learning challenges. Evolution equations hold immense importance in numerous realms of applied mathematics and have experienced notable prominence in recent times.This book delves into the study of several classes of equations, aiming to investigate the existence of mild and periodic mild solutions and their properties such as approximate controllability, complete controllability and attractivity, under various conditions. By examining diverse problems involving second-order semilinear evolution equations, differential and integro-differential equations with state-dependent delay, random effects, and functional differential equations with delay and random effects, we hope to contribute to the advancement of mathematical knowledge and provide researchers, academicians, and students with a solid foundation for further exploration in this field. Throughout this book, we explore different mathematical frameworks, employing Fréchet spaces and Banach spaces to provide a comprehensive analysis. Our investigation extends beyond traditional solutions, encompassing the study of asymptotically almost automorphic mild solutions, periodic mild solutions, and impulsive integro-differential equations. These topics shed light on the behavior of equations in both bounded and unbounded domains, offering valuable insights into the dynamics of functional evolution equations.
