Recent Studies in Differential Equations

$82.00

Henry Forster (Editor)

Series: Mathematics Research Developments
BISAC: MAT007000

This compilation introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents, presenting a few relevant applications of abstract Volterra
integro-differential inclusions in Banach spaces.

The authors study the existence and regularity of solutions for some nonlinear second order differential equations, showing the existence of mild solutions and giving sufficient conditions ensuring the existence of strict solutions.

Sufficient conditions for the oscillation of solutions of neutral impulsive differential equations are also presented.

In the penultimate study, the oscillatory behaviour of the solutions of a class of nonlinear first-order neutral differential equations with several delays of one form are studied.

In addition, some sufficient conditions for the oscillation of solutions to the first and second-order neutral delay difference equation are presented.

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Table of Contents

Preface

Chapter 1. Almost Automorphic and Asymptotically Almost Automorphic Type Functions in Lebesgue Spaces with Variable Exponents Lp(X)
(Toka Diagana and Marko Kostić , Department of Mathematical Sciences, University of Alabama in Huntsville, Sparkman Drive, Huntsville, US, and Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia)

Chapter 2. Existence and Regularity of Solutions for Some Nonlinear Second Order Differential Equation in Banach Spaces
(Issa Zabsonré and Napo Micailou, Université Joseph KI-ZERBO, Unité de Recherche et de Formation en Sciences Exactes et Appliqués, Département de Mathématiques, Ouagadougou, Burkina Faso)

Chapter 3. Oscillation Results for Nonlinear Neutral Impulsive Differential Equations
(Shyam Sundar Santra, Department of Mathematics, JIS College of Engineering, Kalyani, India)

Chapter 4. First-Order Forced Functional Differential Equations
(Shyam Sundar Santra, Department of Mathematics, JIS College of Engineering, Kalyani, India)

Chapter 5. Oscillation Criteria for Neutral Difference Equations
(Shyam Sundar Santra, Debasish Majumder, Rupak Bhattacharjee and Tanusri Ghosh, Department of Mathematics, JIS College of Engineering, Kalyani, India)

Chapter 6. PDEs Satisfied by Density Function of Stochastic Integrals
(Julia Calatayud, Juan Carlos Cortés and Marc Jornet, Institut Universitari de Matemática Multidisciplinar
Universitat Politécnica de Valéncia, Valencia, Spain)

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