Volume 16, Issue 3
The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator

Chengrong Yang & Zhuoqun Wu

J. Part. Diff. Eq., 16 (2003), pp. 223-239.

Published online: 2003-08

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  • Abstract
Some results on the invariant regions ,existence and uniqueness of solutions to a class of integrodifferential systems are established. Applying these results to integrodifferential systems with a small parameter ε > 0, we obtain,in particular, some estimates of solutions uniform in ε > 0.
  • Keywords

Integrodifferential systems convolution operator existence and uniqueness invariant regions

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@Article{JPDE-16-223, author = {}, title = {The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {3}, pages = {223--239}, abstract = { Some results on the invariant regions ,existence and uniqueness of solutions to a class of integrodifferential systems are established. Applying these results to integrodifferential systems with a small parameter ε > 0, we obtain,in particular, some estimates of solutions uniform in ε > 0.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5421.html} }
TY - JOUR T1 - The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator JO - Journal of Partial Differential Equations VL - 3 SP - 223 EP - 239 PY - 2003 DA - 2003/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5421.html KW - Integrodifferential systems KW - convolution operator KW - existence and uniqueness KW - invariant regions AB - Some results on the invariant regions ,existence and uniqueness of solutions to a class of integrodifferential systems are established. Applying these results to integrodifferential systems with a small parameter ε > 0, we obtain,in particular, some estimates of solutions uniform in ε > 0.
Chengrong Yang & Zhuoqun Wu . (2019). The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator. Journal of Partial Differential Equations. 16 (3). 223-239. doi:
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