Uniqueness of Solutions to First and Third Order Volterra Type Integral Equations on a Semiaxis

Uniqueness of Solutions to First and Third Order Volterra Type Integral Equations on a Semiaxis

Sufficient conditions for the uniqueness of solutions to first and third kind Volterra integral equations in the space of functions continuous on the semiaxis are established in the case when the kernels of these equations can be alternating on the diagonal. Illustrative examples are given.

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Veröffentlicht in:Moscow University mathematics bulletin 2018-11, Vol.73 (6), p.266-268
1. Verfasser: Iskandarov, S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Continuity (mathematics)
Integral equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Uniqueness
Volterra integral equations
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Beschreibung
Zusammenfassung:Sufficient conditions for the uniqueness of solutions to first and third kind Volterra integral equations in the space of functions continuous on the semiaxis are established in the case when the kernels of these equations can be alternating on the diagonal. Illustrative examples are given.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132218060086