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On a Boundary Value Problem for ๐-th Order Linear Functional Differential Systems
-
Robert Hakl
Verรถffentlicht/Copyright:
10. Mรคrz 2010
Abstract
In this paper, theorems on the Fredholm alternative and wellposedness of the linear boundary value problem
๐ขโฒ(๐ก) = โ(๐ข)(๐ก) + ๐(๐ก), โ(๐ข) = ๐,
where โ : ๐ถ([๐, ๐]; ๐ ๐) โ ๐ฟ([๐, ๐]; ๐ ๐) and โ : ๐ถ([๐, ๐]; ๐ ๐) โ ๐ ๐ are linear bounded operators, ๐ โ ๐ฟ([๐, ๐]; ๐ ๐), and ๐ โ ๐ ๐, are established even when โ is not a strongly bounded operator.
Key words and phrases:: Fredholm alternative; well-posedness; functional differential systems; ๐-th order linear boundary value problem
Received: 2004-12-20
Published Online: 2010-03-10
Published in Print: 2005-June
ยฉ Heldermann Verlag
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Artikel in diesem Heft
- Quadric Hypersurfaces Containing a Projectively Normal Curve
- Gelfand Pairs and Generalized d'Alembert's and Cauchy's Functional Equations
- Some Approximation Properties for Modified Baskakov Type Operators
- On a Boundary Value Problem for ๐-th Order Linear Functional Differential Systems
- Functional Differential Inequalities with Unbounded Delay
- On Absolutely Negligible Sets in Uncountable Solvable Groups
- Disturbance Due to a Time Harmonic Source in Orthotropic Micropolar Viscoelastic Medium
- Semi-Slant Submanifolds of a Locally Product Manifold
- Boundary Regularity for Capillary Surfaces
- Boundedness for Multilinear Singular Integral Operators on Some Hardy and Herz Type Spaces
- Arcwise Connected Continua and Whitney Maps
- On the Fourier Multipliers of the Space ๐ฟ๐
- Some Remarks Concerning Jones Eigenfrequencies and Jones Modes
- On the Strong Differentiation of Multiple Integrals along Different Frames
- On the Asymptotic Behaviour of Solutions of Third Order Delay Differential Equations
- Mapping Properties of Integral Operators of Levy Type
Schlagwรถrter fรผr diesen Artikel
Fredholm alternative;
well-posedness;
functional differential systems;
๐-th order linear boundary value problem
Artikel in diesem Heft
- Quadric Hypersurfaces Containing a Projectively Normal Curve
- Gelfand Pairs and Generalized d'Alembert's and Cauchy's Functional Equations
- Some Approximation Properties for Modified Baskakov Type Operators
- On a Boundary Value Problem for ๐-th Order Linear Functional Differential Systems
- Functional Differential Inequalities with Unbounded Delay
- On Absolutely Negligible Sets in Uncountable Solvable Groups
- Disturbance Due to a Time Harmonic Source in Orthotropic Micropolar Viscoelastic Medium
- Semi-Slant Submanifolds of a Locally Product Manifold
- Boundary Regularity for Capillary Surfaces
- Boundedness for Multilinear Singular Integral Operators on Some Hardy and Herz Type Spaces
- Arcwise Connected Continua and Whitney Maps
- On the Fourier Multipliers of the Space ๐ฟ๐
- Some Remarks Concerning Jones Eigenfrequencies and Jones Modes
- On the Strong Differentiation of Multiple Integrals along Different Frames
- On the Asymptotic Behaviour of Solutions of Third Order Delay Differential Equations
- Mapping Properties of Integral Operators of Levy Type
