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

Y. C. Zhou; Z. W. Yang; H. Y. Zhang; Y. Wang

doi:10.1016/j.amc.2015.10.080

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

Y. C. Zhou
, Z. W. Yang^*
, H. Y. Zhang
, Y. Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	353-361
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	274
DOIs	https://doi.org/10.1016/j.amc.2015.10.080
State	Published - 1 Feb 2016

Keywords

Blow-up behaviors
Differential equations with piecewise constant arguments
Existence and uniqueness
Global existence
Ordinary differential equations

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10.1016/j.amc.2015.10.080

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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.",

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Y1 - 2016/2/1

N2 - 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.

AB - 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.

KW - Blow-up behaviors

KW - Differential equations with piecewise constant arguments

KW - Existence and uniqueness

KW - Global existence

KW - Ordinary differential equations

UR - https://www.scopus.com/pages/publications/84947786846

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M3 - 文章

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VL - 274

SP - 353

EP - 361

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

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Keywords

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