| ASYMPTOTIC BEHAVIOUR OF EIGENVALUES FOR THE DISCONTINUOUS BOUNDARY-VALUE PROBLEM WITH FUNCTIONAL-TRANSMISSION CONDITIONS |
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| 作者姓名： | O.Sh.Mukhtarov |
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| 作者单位： | O.Sh.Mukhtarov Department of Mathematics，Science and Arts Faculty，Gaziosmanpasa University，Tokat，TurkeyMustafa Kandemir Department of Mathematics，Faculty of A mas y a Education，Ondokuz Mayis University，Amasya，Turkey |
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| 基金项目： | The research was supported by TUBITATAK |
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| 摘 要： | In this study, the boundary-value problem with eigenvalue parameter generated by the differential equation with discontinuous coefficients and boundary conditions which contains not only endpoints of the considered interval, but also point of discontinuity and linear functionals is investigated. So, the problem is not pure boundary-value. The authors single out a class of linear functionals and find simple algebraic conditions on coefficients, which garantee the existence of innnit number eigenvalues. Also the asymptotic formulas for eigenvalues are found.
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ASYMPTOTIC BEHAVIOUR OF EIGENVALUES FOR THE DISCONTINUOUS BOUNDARY-VALUE PROBLEM WITH FUNCTIONAL TRANSMISSION CONDITIONS |
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| O.Sh.Mukhtarov.ASYMPTOTIC BEHAVIOUR OF EIGENVALUES FOR THE DISCONTINUOUS BOUNDARY-VALUE PROBLEM WITH FUNCTIONAL-TRANSMISSION CONDITIONS[J].Acta Mathematica Scientia,2002,22(3). |
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| Authors: | OShMukhtarov Mustafa Kandemir |
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| Abstract: | In this study, the boundary-value problem with eigenvalue parameter generated by the differential equation with discontinuous coefficients and boundary conditions which contains not only endpoints of the considered interval, but also point of discontinuity and linear functionals is investigated. So, the problem is not pure boundary-value. The authors single out a class of linear functionals and find simple algebraic conditions on coefficients, which garantee the existence of infinit number eigenvalues. Also the asymptotic formulas for eigenvalues are found. |
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| Keywords: | Asymptotic behaviour of eigenvalues boundary-value problems functional-conditions discontinuous coefficients |
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