Theoretical analysis for blow-up behaviors of differential equations with piecewise constant arguments

Y.C. Zhou, Z.W. Yang, H.Y. Zhang and Y. Wang

Applied Mathematics and Computation, 2016, vol. 274, issue C, 353-361

Abstract: In this paper we discuss the blow-up behaviors of differential equations with piecewise constant arguments (EPCAs). Some fundamental results on the local existence and uniqueness of solutions of EPCAs are reviewed and some conditions are given under which the unique solution exists globally. Sufficient conditions for the finite blowup are presented and some examples illustrate that the blow-up behaviors of EPCAs are quite different from those of the corresponding ordinary differential equations.

Keywords: Ordinary differential equations; Differential equations with piecewise constant arguments; Existence and uniqueness; Blow-up behaviors; Global existence (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:353-361

DOI: 10.1016/j.amc.2015.10.080

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