• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Analysis

Oscillation and integral norms of coefficients in second-order differential equations

Article ID Journal Published Year Pages File Type
4615335 Journal of Mathematical Analysis and Applications 2015 9 Pages PDF
Abstract
By theorems of Sturm and Lyapunov, the L∞ and L1 norms of the coefficient q in a differential equation u″+q(t)u=0 limit the oscillation of nontrivial solutions. This paper establishes similar results for the Lp norms when 1
Keywords
Sturm comparison theoremSecond-order differential equationoscillation
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Oscillation and integral norms of coefficients in second-order differential equations
Authors
Caitlin Klimas, Dennis Stowe,
Related Articles
Discrete spectra of compactly perturbed bounded operators
Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis
Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces
Unique conditional expectations for abelian C⁎-inclusions
Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property
Infinite-dimensional features of matrices and pseudospectra
An exact estimate result for a semilinear equation with critical exponent and prescribed singularity
Angle geometry in asymptotic Teichmüller spaces
On the radial solutions of a system with weights under the Keller–Osserman condition
An anisotropic Mumford–Shah model
Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Sturm comparison theorem
Second-order differential equation
oscillation
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear Analysis: Hybrid Systems
Expositiones Mathematicae
Journal of Functional Analysis
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Applied and Computational Harmonic Analysis
Differential Geometry and its Applications
Journal of Approximation Theory
Journal of Complexity
Journal of Differential Equations
Transactions of A. Razmadze Mathematical Institute
Daneshyari provides fulltext access to millions of research papers.