Systems of Linear and Nonlinear Equations with Partial Integrals


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We establish the existence and uniqueness of continuous solutions to systems of linear and nonlinear integral equations with partial integrals, with partial integrals and potential type kernels, and fractional partial integrals. We obtain conditions guaranteeing that the solutions have continuous partial derivatives and are continuously differentiable.

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A. Kalitvin

Lipetsk State Pedagogical University

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Email: kalitvin@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

V. Kalitvin

Lipetsk State Pedagogical University

Email: kalitvin@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

N. Trusova

Lipetsk State Pedagogical University

Email: kalitvin@mail.ru
俄罗斯联邦, 42, Lenina St., Lipetsk, 398020

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