Impulsive Dirac system on time scales

DOI10.1007/s11253-023-02231-5OpenAlexW4388582941MaRDI QIDQ6147977

Hüseyin Tuna, Bilender P. Allahverdiev

Publication date: 11 January 2024

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-023-02231-5

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Ordinary differential equations with impulses (34A37) Linear symmetric and selfadjoint operators (unbounded) (47B25) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Dynamic equations on time scales or measure chains (34N05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales
• Spectral theory of ordinary differential operators
• On Green's functions and positive solutions for boundary value problems on time scales
• Ambarzumyan-type theorems on a time scale
• Titchmarsh-Weyl theory for Dirac systems with transmission conditions
• Existence results for second order boundary value problem of impulsive dynamic equations on time scales
• Using time scales to study multi-interval Sturm-Liouville problems with interface conditions
• On an inverse scattering problem for a discontinuous Sturm-Liouville equation with a spectral parameter in the boundary condition
• Higher-order self-adjoint boundary-value problems on time scales
• First and second order linear dynamic equations on time scales
• On Dirac equation on a time scale
• Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions
• Inverse problems for impulsive Dirac operators with spectral parameters contained in the boundary and multitransfer conditions
• Spectral theory of Dirac system on time scales
• Spectrum and scattering function of the impulsive discrete Dirac systems
• Variable Change for Sturm-Liouville Differential Expressions on Time Scales
• Scattering theory of Dirac operator with the impulsive condition on whole axis
• The eigenvalue problem with interaction conditions at one interior singular point
• One Dimensional Dirac Operators on Time Scales
• A study of impulsive discrete Dirac system with hyperbolic eigenparameter
• Half-inverse Sturm–Liouville problem on a time scale
• Resolvent operator and spectrum of new type boundary value problems
• Spectral expansion for the singular Dirac system with impulsive conditions