Abstract
Chapter 8 is devoted to study of the initial-value problem for delay partial differential equations of the parabolic type. A sufficient condition for stability of the solution of this initial-value problem is given. The stability estimates for solutions of the first and second order of accuracy difference schemes for approximately solving this initial-value problem are presented. The stability estimates in Holder norms for solutions of the initial-value problem of the delay differential and difference equations of the parabolic type are obtained.
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© 2004 Springer Basel AG
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Ashyralyev, A., Sobolevskii, P.E. (2004). Appendix: Delay Parabolic Differential Equations. In: New Difference Schemes for Partial Differential Equations. Operator Theory: Advances and Applications, vol 148. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7922-4_8
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DOI: https://doi.org/10.1007/978-3-0348-7922-4_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9622-1
Online ISBN: 978-3-0348-7922-4
eBook Packages: Springer Book Archive