Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter

M. Kandemir; Ya. Yakubov

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Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter

机译：具有不连续系数，函数多点条件和线性谱参数的规则边值问题

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We consider a linear differential equation which includes a linear abstract operator, with a piecewise constant coefficient at the principal differential term, together with multipoint boundary-transmission conditions, including linear functionals. The spectral parameter appears linearly in the equation and may appear also linearly in the boundary-transmission conditions. We prove an isomorphism and coerciveness of the problem with respect to the spectral parameter and the space variable.

机译：我们考虑一个线性微分方程，其中包括一个线性抽象算子，在主微分项处具有分段常数，以及多点边界传递条件，包括线性泛函。光谱参数在方程式中呈线性出现，并且在边界透射条件下也可能呈线性出现。关于谱参数和空间变量，我们证明了该问题的同构和强制性。

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《Israel Journal of Mathematics》 |2010年第1期|p.255-270|共16页
作者
M. Kandemir; Ya. Yakubov;
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1. Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter [J] . Kandemir M., Yakubov Ya. Israel Journal of Mathematics . 2010,第Null期

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2. On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition [J] . Mamedov K.R., ??l A. Mathematical Methods in the Applied Sciences . 2012,第14期

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8. Estimation of Discontinuous Coefficients and Boundary Parameters for Hyperbolic Systems. [R] . Lamm, P. K., Murphy, K. A. 1988

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Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter

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