We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with some regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such that the root functions of these operators do not form a Riesz basis
In this paper, we consider the nonself-adjoint discontinuous Sturm Liouvilleoperator with periodic (...
In this work we continue our research on nonharmonic analysis of boundary value problems as initiate...
The spectral problem is investigated for the fourth order ordinary differential operator with spect...
Şeref, Fulya (Dogus Author) -- Veliev, Oktay A. (Dogus Author)In this article we obtain the sharp as...
AbstractWe consider the indefinite Sturm–Liouville problem −f″=λrf, f′(−1)=f′(1)=0 where r∈L1[−1,1] ...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
Boundary value problems for second- and fourth- order ordinary differential operators with a spectra...
One dimensional Dirac operators [equation] considered with L2-potentials [equation] ; and subject t...
We consider a regular indefinite Sturm–Liouville eigenvalue problem −f′′ + q f = λ r f on [a, b] sub...
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator ly ≤ -y″ + q(x)y wi...
In this paper, we consider the following periodic and antiperiodic problem yiv + p2 (x) y + p1 (x) ...
AbstractNecessary and sufficient conditions are given for two sequences λn and ρn to be the eigenval...
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations ...
In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-...
In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-...
In this paper, we consider the nonself-adjoint discontinuous Sturm Liouvilleoperator with periodic (...
In this work we continue our research on nonharmonic analysis of boundary value problems as initiate...
The spectral problem is investigated for the fourth order ordinary differential operator with spect...
Şeref, Fulya (Dogus Author) -- Veliev, Oktay A. (Dogus Author)In this article we obtain the sharp as...
AbstractWe consider the indefinite Sturm–Liouville problem −f″=λrf, f′(−1)=f′(1)=0 where r∈L1[−1,1] ...
AbstractWe study the system of root functions (SRF) of Hill operator Ly=−y″+vy with a singular (comp...
Boundary value problems for second- and fourth- order ordinary differential operators with a spectra...
One dimensional Dirac operators [equation] considered with L2-potentials [equation] ; and subject t...
We consider a regular indefinite Sturm–Liouville eigenvalue problem −f′′ + q f = λ r f on [a, b] sub...
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator ly ≤ -y″ + q(x)y wi...
In this paper, we consider the following periodic and antiperiodic problem yiv + p2 (x) y + p1 (x) ...
AbstractNecessary and sufficient conditions are given for two sequences λn and ρn to be the eigenval...
In this article, we investigate a problem with nonlocal boundary conditions which are perturbations ...
In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-...
In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-...
In this paper, we consider the nonself-adjoint discontinuous Sturm Liouvilleoperator with periodic (...
In this work we continue our research on nonharmonic analysis of boundary value problems as initiate...
The spectral problem is investigated for the fourth order ordinary differential operator with spect...