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Fractional Abstract Differential Equations and Applications

Bulletin of the Malaysian Mathematical Sciences Society, 2020
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Abstract Differential Null-Equations

Functional Analysis and Its Applications, 2004
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Abstract differential-algebraic equations

2013
The concept of regular DAEs developed in Part I for DAEs in finite-dimensional spaces is generalized to some extend for DAEs acting in Hilbert spaces, which are called abstract differential-algebraic equations (ADAEs). Such a framework aims to provide a systematic approach for coupled systems of different type. It should be emphasized that this working
René Lamour, Roswitha März, Caren Tischendorf   +2 more
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Topics in abstract differential equations

Nonlinear Analysis: Theory, Methods & Applications, 1994
The paper is mostly of an expository nature and presents a few results concerning differential equations in Banach spaces obtained by various authors. The author discusses the problems of uniqueness of solutions, conditions where bounded solutions over the real line are necessary constants, connection between bounded and almost-periodic solutions of ...
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Abstract Almost Periodic Differential Equations

1969
This note contains a new proof and some extensions of a result from [16] about an abstract theorem of Bohl-type, applicable in the study of almost-periodic solutions of differential equations, especially for a proof that bounded solutions of the inhomogeneous wave equation are almost periodic.
H. Günzler, S. Zaidman
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Second Order Abstract Neutral Functional Differential Equations

Journal of Dynamics and Differential Equations, 2015
In this paper, the authors study abstract second order neutral functional-differential equations with finite delay in a Banach space (existence and uniqueness of mild and classical solutions of abstract Cauchy problems). The reader can find, results on the existence of mild solutions of second order semilinear Cauchy problems, a variation of constants ...
Henríquez, Hernán R., Cuevas, Claudio
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Abstract Volterra Integro-Differential Equations

2015
PREFACE NOTATION INTRODUCTION PRELIMINARIES Vector-valued functions, closed operators and integration in sequentially complete locally convex spaces Laplace transform in sequentially complete locally convex spaces Operators of fractional differentiation, Mittag-Leffler and Wright functions (a k)-REGULARIZED C-RESOLVENT FAMILIES IN LOCALLY CONVEX SPACES
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Differential equations in abstract spaces

1997
In this chapter, we are concerned with the initial value problem: $$\left\{ {\begin{array}{*{20}{c}} {y'\left( t \right) = f\left( {t,y\left( t \right)} \right){\text{ }}t \in \left[ {0,T} \right]} \\ {y\left( 0 \right) = a \in E;} \end{array}} \right.$$ (1.1) where E is a real Banach space and f : [0, T] × E → E has a decomposition f = g + h
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Abstract Differential Equations

2019
V. Lakshmikantham, S.G. Deo
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Solving integral equations in free space with inverse-designed ultrathin optical metagratings

Nature Nanotechnology, 2023
Andrea Cordaro, Andrea Alu
exaly