On the absolutely continuous spectrum of perturbed periodic Sturm-Liouville operators.
On the basis properties of a spectral problem with a spectral parameter in a boundary condition.
On the Darboux transformation. I.
On the domain of selfadjoint extension of the product of Sturm-Liouville differential operators.
On the exact multiplicity of solutions for boundary-value problems via computing the direction of bifurcations.
On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems.
On the Green function of Sturm-Liouville differential equation with normal operator coefficient.
On the -solutions to general second-order nonsymmetric differential equations.
On the regular Sturm-Liouville transform.
On the spectrum of non-selfadjoint differential operators.
One-dimensional Schrödinger operators with local point interactions.
Optimal design of turbines with an attached mass
We minimize, with respect to shape, the moment of inertia of a turbine having the given lowest eigenfrequency of the torsional oscillations. The necessary conditions of optimality in conjunction with certain physical parameters admit a unique optimal design.
Optimal design of turbines with an attached mass
We minimize, with respect to shape, the moment of inertia of a turbine having the given lowest eigenfrequency of the torsional oscillations. The necessary conditions of optimality in conjunction with certain physical parameters admit a unique optimal design.
Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system.
Periodic solutions to a -Laplacian neutral Rayleigh equation with deviating argument
By using the coincidence degree theory, we study a type of -Laplacian neutral Rayleigh functional differential equation with deviating argument to establish new results on the existence of -periodic solutions.
Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions.
Positive solutions for singular Sturm-Liouville boundary value problems on the half line.
Positive solutions for third-order Sturm-Liouville boundary-value problems with -Laplacian.
Positive solutions for two-point semipositone right focal eigenvalue problem.
Properties of non-hermitian quantum field theories
In this paper I discuss quantum systems whose Hamiltonians are non-Hermitian but whose energy levels are all real and positive. Such theories are required to be symmetric under , but not symmetric under and separately. Recently, quantum mechanical systems having such properties have been investigated in detail. In this paper I extend the results to quantum field theories. Among the systems that I discuss are and theories. These theories all have unexpected and remarkable properties. I discuss...