scientific article; zbMATH DE number 7155385

MaRDI QIDQ5208946

Hüseyin Tuna, Bilender P. Allahverdiev

Publication date: 22 January 2020

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2020/03/abstr.html#latest

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zbMATH Keywords

singular pointspectral functionresolvent operatorTitchmarsh-Weyl function\(q\)-Dirac operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Weyl theory and its generalizations for ordinary differential equations (34B20) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference equations, scaling ((q)-differences) (39A13)

Related Items (1)

q−Hamiltonian systems

Cites Work

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• The Hahn quantum variational calculus
• Deformed Heisenberg algebra: origin of \(q\)-calculus
• Quantum calculus on finite intervals and applications to impulsive difference equations
• The power quantum calculus and variational problems
• On the resolvent of singular Sturm‐Liouville operators with transmission conditions
• A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem
• Resolvent operator of singular Dirac system with transmission conditions
• Some properties of the resolvent of Sturm-Liouville operators on unbounded time scales
• AN EIGENFUNCTION PROBLEM OCCURRING IN QUANTUM MECHANICS

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