The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator

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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 \u03b5 > 0, we obtain,in particular, some estimates of solutions uniform in \u03b5 > 0."

Keywords:

Integrodifferential systems;convolution operator;existence and uniqueness;invariant regions
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The Cauchy Problem for a Class of Coupled Systems Containing a Convolution Operator. (2003). Journal of Partial Differential Equations, 16(3), 223-239. https://global-sci.com/index.php/jpde/article/view/14885