Analysis of blow-up behavior of solutions to CVIEs

Huiming Song; Zhanwen Yang; Yu Xiao

doi:10.1007/s40314-021-01520-8

Analysis of blow-up behavior of solutions to CVIEs

Huiming Song
, Zhanwen Yang^*
, Yu Xiao

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

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

4 Scopus citations

Abstract

In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs). Following the framework in Brunner and Yang (J Integral Equations Appl 3:806–830, 2012), the necessary and sufficient conditions for the blow-up behavior of increasing solutions is investigated. Finally, the results are extended to fluctuating solutions with a reversal comparison theorem.

Original language	English
Article number	136
Journal	Computational and Applied Mathematics
Volume	40
Issue number	4
DOIs	https://doi.org/10.1007/s40314-021-01520-8
State	Published - Jun 2021
Externally published	Yes

Keywords

Blow-up
Cordial Volterra integral equations
Lower solutions
Multiple solutions
Upper solutions

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10.1007/s40314-021-01520-8

Cite this

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title = "Analysis of blow-up behavior of solutions to CVIEs",

abstract = "In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs). Following the framework in Brunner and Yang (J Integral Equations Appl 3:806–830, 2012), the necessary and sufficient conditions for the blow-up behavior of increasing solutions is investigated. Finally, the results are extended to fluctuating solutions with a reversal comparison theorem.",

keywords = "Blow-up, Cordial Volterra integral equations, Lower solutions, Multiple solutions, Upper solutions",

author = "Huiming Song and Zhanwen Yang and Yu Xiao",

note = "Publisher Copyright: {\textcopyright} 2021, SBMAC - Sociedade Brasileira de Matem{\'a}tica Aplicada e Computacional.",

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AU - Song, Huiming

AU - Yang, Zhanwen

AU - Xiao, Yu

PY - 2021/6

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N2 - In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs). Following the framework in Brunner and Yang (J Integral Equations Appl 3:806–830, 2012), the necessary and sufficient conditions for the blow-up behavior of increasing solutions is investigated. Finally, the results are extended to fluctuating solutions with a reversal comparison theorem.

AB - In this paper, we consider the necessary and sufficient conditions of blow-up property of solutions to cordial Volterra integral equations (CVIEs). Following the framework in Brunner and Yang (J Integral Equations Appl 3:806–830, 2012), the necessary and sufficient conditions for the blow-up behavior of increasing solutions is investigated. Finally, the results are extended to fluctuating solutions with a reversal comparison theorem.

KW - Blow-up

KW - Cordial Volterra integral equations

KW - Lower solutions

KW - Multiple solutions

KW - Upper solutions

UR - https://www.scopus.com/pages/publications/85105574801

U2 - 10.1007/s40314-021-01520-8

DO - 10.1007/s40314-021-01520-8

M3 - 文章

AN - SCOPUS:85105574801

SN - 2238-3603

VL - 40

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 4

M1 - 136

ER -

Analysis of blow-up behavior of solutions to CVIEs

Abstract

Keywords

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