On One Class of Nonclassical Linear Volterra Integral Equations of the First Kind

Avıt ASANOV

On the basis of a new approach, we prove the uniqueness theorem and construct Lavrent'ev's regularizing operators for the solution of nonclassical linear Volterra integral equations of the first kind with nondifferentiable kernels.

Makale 2020 Fen Fakültesi Ukrainian Mathematical Journal72 ( 2 ) 65 Görüntülenme

One Class of Systems of Linear Fredholm Integral Equations of the Third Kind on the Real Line with Multipoint Singularities

Avıt ASANOV

Using a modification of the approach previously developed by the authors, we show that finding solutions of one class of systems of linear Fredholm integral equations of the third kind on the real line with finitely many multipoint singularities is equivalent to finding solutions of a system of linear Fredholm integral equations of the second kind on the real line with additional conditions imposed on the kernels and the free term. The existence, nonexistence, uniqueness, and nonuniqueness of solutions of systems in this class are studied.

Makale 2020 Fen Fakültesi Differential Equations56 ( 10 ) 40 Görüntülenme

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Koleksiyon [1]

Araştırmacılar [1]

BM Sürdürülebilir Kalkınma [1]

Fakültesi / Enstitütü [1]

Yayın Türü [1]

Yayımlanma Yılı [1]

Dil [1]

Kaynak [2]

Veri Tabanları [3]

İndex Türü [2]

Yayıncı [1]

Bölümü [1]

Ulusal/Uluslararası [1]

On One Class of Nonclassical Linear Volterra Integral Equations of the First Kind

Avıt ASANOV

One Class of Systems of Linear Fredholm Integral Equations of the Third Kind on the Real Line with Multipoint Singularities

Avıt ASANOV