On the Nonclassical Asymptotics of the Eigenvalues of a Boundary Value Problem for a Second-Order Differential-Operator Equation

[1] Yakubov S.Ya.(1982)Boundary value problem for the Laplace equation with nonclassical spectral asymptotics Dokl. Akad. Nauk SSSR 265 1330-1333

[2] Il’in V.A.(1970)On the nature of the spectrum of a self-adjoint extension of the Laplace operator in a bounded domain Dokl. Akad. Nauk SSSR 191 167-169

[3] Filippov A.F.(1977)Separate asymptotics of two series of eigenvalues for a single elliptic boundary-value problem Math. Notes 22 882-888

[4] Kozhevnikov A.N.(1980)On the asymptotic distribution of eigenvalues of some boundary value problems for the Sturm–Liouville operator equation Ukr. Mat. Zh. 32 248-252

[5] Rybak M.A.(1999)Abstract differential equation with a spectral parameter in the boundary conditions Result. Math. 35 216-227

[6] Denche M.(2006)Asymptotic behavior of the eigenvalues of a boundary value problem for an elliptic second order operator-differential equation Ukr. Mat. Zh. 58 1146-1152

[7] Aliev B.A.(2015)Solvability of the abstract Regge boundary-value problem and asymptotic behavior of eigenvalues of one abstract spectral problem Riv. Math. Univ. Di Parma 6 241-265

[8] Aliev B.A.(2009)On a spectral problem in the theory of the heat operator Differ. Equations 45 1544-1546

[9] Kurbanova N.K.(2011)On the uniform convergence in Differ. Equations 47 1408-1413

[10] Yakubov Ya.(2015) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition Differ. Equations 51 1274-1279

[1] Yakubov S.Ya.(1982)Boundary value problem for the Laplace equation with nonclassical spectral asymptotics Dokl. Akad. Nauk SSSR 265 1330-1333

[2] Il’in V.A.(1970)On the nature of the spectrum of a self-adjoint extension of the Laplace operator in a bounded domain Dokl. Akad. Nauk SSSR 191 167-169

[3] Filippov A.F.(1977)Separate asymptotics of two series of eigenvalues for a single elliptic boundary-value problem Math. Notes 22 882-888

[4] Kozhevnikov A.N.(1980)On the asymptotic distribution of eigenvalues of some boundary value problems for the Sturm–Liouville operator equation Ukr. Mat. Zh. 32 248-252

[5] Rybak M.A.(1999)Abstract differential equation with a spectral parameter in the boundary conditions Result. Math. 35 216-227

[6] Denche M.(2006)Asymptotic behavior of the eigenvalues of a boundary value problem for an elliptic second order operator-differential equation Ukr. Mat. Zh. 58 1146-1152

[7] Aliev B.A.(2015)Solvability of the abstract Regge boundary-value problem and asymptotic behavior of eigenvalues of one abstract spectral problem Riv. Math. Univ. Di Parma 6 241-265

[8] Aliev B.A.(2009)On a spectral problem in the theory of the heat operator Differ. Equations 45 1544-1546

[9] Kurbanova N.K.(2011)On the uniform convergence in Differ. Equations 47 1408-1413

[10] Yakubov Ya.(2015) of Fourier series for a spectral problem with squared spectral parameter in a boundary condition Differ. Equations 51 1274-1279