Abstract
Quadrature linear integro-differential equations on a closed curve located in the complex plane are solved. The equations contain singular integrals which are understood in the sense of the main value and hypersingular integrals which are understood in the sense of the Hadamard finite part. The coefficients of the equations have a special structure.
Highlights
Quadrature linear integro-differential equations on a closed curve located in the complex plane are solved
The equations contain singular integrals which are understood in the sense of the main value and hypersingular integrals which are understood in the sense of the Hadamard finite part
При выполнении этого неравенства решение уравнения (11) дается формулой (10), в которой F±(z) есть соответствующее значение интеграла типа Коши (12)
Summary
Quadrature linear integro-differential equations on a closed curve located in the complex plane are solved. P. Integro-differential equations with singular and hypersingular integrals. Seryia fіzіka-matematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus.
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