Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations

D. N. Sidorov

doi:10.1134/S0012266114090080

Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations

D. N. Sidorov^*

^*Corresponding author for this work

Melent'ev Institute of Power Engineering Systems

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

31 Scopus citations

Abstract

We obtain sufficient conditions for the existence of a principal solution of a nonlinear Volterra integral equation of the second kind on the half-line and on a finite interval. We suggest a method for computing the boundary of an interval outside which the solution can blow up.

Original language	English
Pages (from-to)	1217-1224
Number of pages	8
Journal	Differential Equations
Volume	50
Issue number	9
DOIs	https://doi.org/10.1134/S0012266114090080
State	Published - 2014
Externally published	Yes

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title = "Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations",

abstract = "We obtain sufficient conditions for the existence of a principal solution of a nonlinear Volterra integral equation of the second kind on the half-line and on a finite interval. We suggest a method for computing the boundary of an interval outside which the solution can blow up.",

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AB - We obtain sufficient conditions for the existence of a principal solution of a nonlinear Volterra integral equation of the second kind on the half-line and on a finite interval. We suggest a method for computing the boundary of an interval outside which the solution can blow up.

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DO - 10.1134/S0012266114090080

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VL - 50

SP - 1217

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JO - Differential Equations

JF - Differential Equations

IS - 9

ER -

Existence and blow-up of Kantorovich principal continuous solutions of nonlinear integral equations

Abstract

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