On a Class of Systems of Linear and Nonlinear Fredholm Integral Equations of the Third Kind with Multipoint Singularities

On a Class of Systems of Linear and Nonlinear Fredholm Integral Equations of the Third Kind with Multipoint Singularities

Based on a new approach, we show that finding solutions for a class of systems of linear (respectively, nonlinear) Fredholm integral equations of the third kind with multipoint singularities is equivalent to finding solutions of systems of linear (respectively, nonlinear) Fredholm integral equations...

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Veröffentlicht in:Differential equations 2018-03, Vol.54 (3), p.381-391
Hauptverfasser: Imanaliev, M. I., Asanov, A., Asanov, R. A.
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Differential equations
Inflation
Integral Equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear equations
Nonlinear systems
Ordinary Differential Equations
Partial Differential Equations
Singularity (mathematics)
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Zusammenfassung:Based on a new approach, we show that finding solutions for a class of systems of linear (respectively, nonlinear) Fredholm integral equations of the third kind with multipoint singularities is equivalent to finding solutions of systems of linear (respectively, nonlinear) Fredholm integral equations of the second kind with additional conditions. We study the existence, nonexistence, uniqueness, and nonuniqueness of solutions for this class of systems of Fredholm integral equations of the third kind with multipoint singularities.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266118030096