Results 141 to 150 of about 722,802 (181)
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Approximation of Abstract Differential Equations
Journal of Mathematical Sciences, 2004The present paper is devoted to the numerical analysis of abstract differential equations in Banach spaces. As is well-known, most of the finite-difference, finite-element, and projection methods can be considered from the point of view of general approximation schemes. Results obtained for general approximation schemes make the formulation of concrete
GUIDETTI, DAVIDE +2 more
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Fractional Abstract Differential Equations and Applications
Bulletin of the Malaysian Mathematical Sciences Society, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract Differential Null-Equations
Functional Analysis and Its Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract differential-algebraic equations
2013The 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 +2 more
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Topics in abstract differential equations
Nonlinear Analysis: Theory, Methods & Applications, 1994The 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
1969This 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, 2015In 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
2015PREFACE 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
1997In 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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New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
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