On Inverse Boundary Value Problem for a Fredholm Integro-Differential Equation with Degenerate Kernel and Spectral Parameter

被引：0
作者：
T. K. Yuldashev
机构：
[1] Siberian State University of Sciences and Technology,
来源：
Lobachevskii Journal of Mathematics | 2019年 / 40卷
关键词：
integro-differential equation; inverse boundary value problem; degenerate kernel; integral condition; unique solvability;
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摘要：
In this paper are considered the questions of unique solvability and redefinitions of a nonlocal inverse problem for the Fredholm integro-differential equation of the second order with degenerate kernel, integral condition, and spectral parameter. Calculations of the value of the spectral parameter are reduced to the solve of trigonometric equations. Systems of algebraic equations are obtained. The singularities that arose in determining arbitrary constants are studied. A criterion for unique solvability of the problem is established and the corresponding theorem is proved.
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页码：230 / 239
页数：9
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共 23 条
[1]  
Cavalcanti M M(2001)Existence and uniform decay for a nonlinear viscoelastic equation with strong damping Math. Methods Appl. Sci. 24 1043-1053
[2]  
Domingos Cavalcanti V N(2018)Nonlinear singulasr byntuhj-differential equations with arbitrary parameter Math. Notes 103 18-23
[3]  
Ferreira J(2017)Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations Math. Notes 102 22-30
[4]  
Askhabov S N(2003)Asymptotic solutions of systems of linear degenerate integro-differential equations Ukr. Math. J. 55 521-534
[5]  
Bobodzhanov A A(2018)Inverse problem for an integro-differential equation of acoustics Differ. Equat. 54 134-142
[6]  
Safonov V F(2016)On the equivalence of the electromagnetic problem of diffraction by an inhomogeneous bounded dielectric body to a volume singular integro-differential equation Comput. Math. Math. Phys. 56 1631-1640
[7]  
Zavizion G V(2011)Degenerate integro-differential operators in Banah spaces and their applications Russ. Math. 55 59-69
[8]  
Safarov Zh Sh(2016)Inverse problems for first-order integro-differential operators Math. Notes 100 876-882
[9]  
Durdiev D K(2018)Study of Volterra integro-differential equations with kernels depending on a parameter Differ. Equat. 54 363-380
[10]  
Smirnov Yu G(1996)Boundary-value problems for systems of integro-differential equations with degenerate kernel Ukr. Math. J. 48 1785-1789
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