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On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
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I.-G. E. Kordonis
Published/Copyright:
March 4, 2010
Abstract
A useful inequality for solutions of linear neutral integrodifferential equations with unbounded delay is established, using a real root of the corresponding characteristic equation. This inequality is used to obtain an estimate for solutions, which leads to a stability criterion.
Key words and phrases:: Integrodifferential equation; neutral equation; unbounded delay; asymptotic behavior; stability
Received: 2003-01-10
Published Online: 2010-03-04
Published in Print: 2004-June
© Heldermann Verlag
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Keywords for this article
Integrodifferential equation;
neutral equation;
unbounded delay;
asymptotic behavior;
stability
Articles in the same Issue
- Maximal Subgroups of Some Classes of Semigroups of Binary Relations
- Additive Surjections Preserving Rank One and Applications
- Some Families of Generating Functions for the Bessel and Related Functions
- On the Uniqueness of Solutions of Some Quasi-Variational Inequalities from Control Theory
- The Existence of Solutions for a Semilinear Abstract Dirichlet Problem
- Noncommutative Symplectic Foliation, Bott Connection and Phase Space Reduction
- Karoubi–Villamayor K-Theory, Weakly Stable C*-Categoroids, and KK-Theory
- On Absolutely Nonmeasurable Additive Functions
- On Higher Order Functional Differential Equations with Property A
- On the Behavior of Solutions of Linear Neutral Integrodifferential Equations with Unbounded Delay
- Invariant Regions and Global Existence of Solutions for Reaction-Diffusion Systems with a Full Matrix of Diffusion Coefficients and Nonhomogeneous Boundary Conditions
- A Sharp Endpoint Estimate for a Multilinear Littlewood–Paley Operator
- On an Initial-Boundary Value Problem for a Fourth Order Composite Equation with Bilaplacian
- An Application of Independent Families of Sets to the Measure Extension Problem
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