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Mathematics

D-Index
34
Citations
5109
World Ranking
2904
National Ranking
1180

Overview

Anton Zettl is affiliated with Northern Illinois University in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with a specialized focus on several subfields including Computational Theory and Mathematics, Mathematical Physics, Applied Mathematics, and Control and Systems Engineering.

The main topics covered in their work include:

  • Spectral Theory in Mathematical Physics
  • Matrix Theory and Algorithms
  • Advanced Mathematical Modeling in Engineering
  • Algebraic and Geometric Analysis
  • Stability and Controllability of Differential Equations
  • Differential Equations and Boundary Problems
  • Holomorphic and Operator Theory

Anton Zettl has contributed to various publications, focusing on differential operators and extensions related to symmetric and singular problems. Recent papers include:

  • "The Friedrichs extension of regular symmetric differential operators," 2022, Operators and Matrices
  • "A class of dissipative differential operators of order three," 2021, AIMS Mathematics
  • "Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems," 2022, Journal of Mathematical Analysis and Applications
  • "Friedrichs extension of singular symmetric differential operators," 2023, Electronic Journal of Differential Equations
  • "Left-Definite Variations of the Classical Fourier Expansion Theorem, Part II," 2021, arXiv (Cornell University)

Frequent collaborators in their research include Guangsheng Wei, Qinglan Bao, Qing an Bao, Tao Wang, and Ji-jun Ao.

Their work has been published in notable venues such as:

  • Operators and Matrices
  • AIMS Mathematics
  • Journal of Mathematical Analysis and Applications
  • Electronic Journal of Differential Equations
  • arXiv (Cornell University)

Best Publications

  • Sturm-Liouville theory

    Anton Zettl

  • Eigenvalues of Regular Sturm-Liouville Problems

    Q. Kong;A. Zettl

  • Algorithm 810: The SLEIGN2 Sturm-Liouville Code

    P. B. Bailey;W. N. Everitt;A. Zettl

  • Formally self-adjoint quasi-differential operators

    A. Zettl

  • Norm Inequalities for Derivatives and Differences

    Man Kam Kwong;Anton Zettl

  • Dependence of the nth Sturm–Liouville Eigenvalue on the Problem

    Qingkai Kong;Hongyou Wu;Anton Zettl

  • Singular Sturm-Liouville problems : the Friedrichs extension and comparison of eigenvalues

    H.-D. Niessen;A. Zettl

  • Computing Eigenvalues of Singular Sturm-Liouville Problems

    P. B. Bailey;W. N. Everitt;A. Zettl

  • Regular approximations of singular Sturm-Liouville problems

    P. B. Bailey;W. N. Everitt;J. Weidmann;A. Zettl

  • Characterization of domains of self-adjoint ordinary differential operators

    Aiping Wang;Jiong Sun;Anton Zettl

  • Integral Inequalities and Second Order Linear Oscillation

    Man Kam Kwong;A Zettl

  • Dependence of Eigenvalues of Sturm–Liouville Problems on the Boundary

    Q. Kong;A. Zettl

  • Singular left-definite Sturm–Liouville problems

    Q. Kong;H. Wu;A. Zettl

  • The Deficiency Index Problem for Powers of Ordinary Differential Expressions

    Unknown

  • Sturm-liouville differential operators in direct sum spaces

    W.N. Everitt;Anton Zettl

  • The Friedrichs Extension of Singular Differential Operators

    Marco Marletta;Anton Zettl

  • Geometric aspects of Sturm—Liouville problems I. Structures on spaces of boundary conditions

    Q. Kong;H. Wu;A. Zettl

  • The classification of self-adjoint boundary conditions: Separated, coupled, and mixed

    Aiping Wang;Jiong Sun;Anton Zettl

  • On a Class of Integral Inequalities

    W. N. Everitt;A. Zettl

  • Inequalities Among Eigenvalues of Sturm-Liouville Problems

    M.S.P. Eastham;Q. Kong;H. Wu;A. Zettl

  • Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems

    W. N. Everitt;Man Kam Kwong;A. Zettl

Frequent Co-Authors

Jerome A. Goldstein
Jerome A. Goldstein University of Memphis

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