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Singularly Perturbed Systems of Volterra Equations
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A. M. Bijura
Veröffentlicht/Copyright:
7. Juni 2010
Abstract
Singularly perturbed linear Volterra integral equations are solved in this paper. To improve the results which has been published earlier, formal solutions of systems of equations are determined and rigorously proved to be asymptotic to the exact solutions.
Key words and phrases.: Asymptotic expansion; Volterra systems of equations
Received: 2001-05-10
Revised: 2002-05-29
Published Online: 2010-06-07
Published in Print: 2002-December
© Heldermann Verlag
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Artikel in diesem Heft
- Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity
- On Density Topologies with Respect to Invariant σ-Ideals
- Singularly Perturbed Systems of Volterra Equations
- Nonlocal in Time Problems for Evolution Equations of Second Order
- Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations
- On the Order Structure of Time Projection
- Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
Artikel in diesem Heft
- Mathematical Analysis and Optimal Control Problems for the Perturbation of the Primitive Equations of the Ocean with Vertical Viscosity
- On Density Topologies with Respect to Invariant σ-Ideals
- Singularly Perturbed Systems of Volterra Equations
- Nonlocal in Time Problems for Evolution Equations of Second Order
- Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations
- On the Order Structure of Time Projection
- Hukuhara's Derivative and Concave Iteration Semigroups of Linear Set-Valued Functions
