On the solution of a certain class of nonlinear singular integro-differential equations with Carleman shift |
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| Institution: | 1. Department of Engineering, East Carolina University, E 5th St, Greenville, NC, United States;2. Department of Civil, Environmental and Construction Engineering, Texas Tech University, 911 Boston Ave, Lubbock, TX, United States |
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| Abstract: | The solution of a class of nonlinear singular integro-differential equations with Carleman shift is obtained in the space Hμ(n)(Γ). The approach followed depends essentially on solution of linear singular integro-differential equation with shift. A criterion for the Noetherity of a correspondence singular integral functional operator of second order with Carleman shift preserving orientation is obtained and the index formula is given. |
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