Differential Equations: Application Systems and Functions


Gaston Mandata N’Guerekata (Editor)
University Distinguished Professor of Mathematics, The World Academy of Sciences (TWAS) Research Professor, School of Computer, Mathematical and Natural Sciences, Morgan State University Baltimore, MD, USA

Series: Mathematics Research Developments
BISAC: MAT007000

This new book presents and discusses new developments in the study of differential equations. Topics discussed include pseudo almost automorphic solutions for some nonlinear differential equations; positive solutions for p-laplacian dynamic delay differential equations on time scales; semilinear fractional differential equations; positive solutions for a class of second-order impulsive singular differential equations in banach spaces and nonlinear hyperbolic second-order partial differential equations with delay. (Imprint: Nova)



Table of Contents

Preface pp. i-viii

Positive Solutions for P-Laplacian Dynamic Delay Differential Equations on Time Scales
(Hua Su) pp. 1-30

Properties and Composition of Pseudo Almost Periodic Functions and
Application to Semilinear Differential Equations in Banach Spaces
(L. Lhachimi and E. Ait Dads) pp. 31-48

Some Existence Results for an Impulsive First Order Semilinear Neutral Functional Differential Equation with Boundary Conditions Via Fractional Operators
(P. Karthikeyan and A. Anguraj) pp. 49-66

Pseudo Almost Automorphic Solutions for Some Nonlinear Differential Equations: Lienard Equations and Hamiltonian Systems
(El Hadi Ait Dads, Philippe Cieutat Ieutat and Samir Fatajou) pp. 67-94

Cauchy Problem for Some Boundary Value Semilinear Fractional Differential Equation
(G.M. Mophou and C. Belfort) pp. 95-104

Pseudo Almost Automorphic Solutions of a Neutral Functional Fractional Differential Equations
(G.M. Mophou, G.M. N’Guerekata and V. Valmorin)pp. 105-120

Existence of Pseudo-Almost Periodic Solutions to Some Nonlinear Hyperbolic Second-Order Partial Differential Equations with Delay
(Najja S. Al-Islam)pp. 121-130

Existence of Positive Solutions for a Class of Second-Order Impulsive Singular Differential Equations in Banach Spaces
(Zhi-Wei Lv) pp. 131-144

Index pp. 145-147

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