STEFAN STEINERBERGERJournal de Mathématiques Pures et AppliquéesS. Steinerberger. Quantitative projections in the Sturm oscillation theorem. arXiv:1804.05779. 2S. Steinerberger, Quantitative Projections in the Sturm Oscillation Theorem, arXiv:1804.05779...
Sturm's oscillation theorem provides upper and lower bounds for the phase velocity for a given stratification, a given wave-number, and a given number of zeros of the eigenfunction (or a given number of stationary surfaces in the ... CS Yih - 《Journal of Fluid Mechanics》 被引量: 36发表...
We derive an explicit formula for the oscillation number of any given eigenfunction.Martin BohnerUlmMathematische NachrichtenM. Bohner, An oscillation theorem for a Sturm-Liouville eigenvalue problem, Math. Nachr. 182 (1996) 67-72.M. Bohner. An oscillation theorem for a Sturm-Liouville eigenvalue...
(DavidPearson)...xiiiDonHintonSturm’s1836OscillationResults.EvolutionoftheTheory...1BarrySimonSturmOscillationandComparisonTheorems...29W.NorrieEverittCharlesSturmandtheDevelopmentofSturm-LiouvilleTheoryintheYears1900to1950...45JoachimWeidmannSpectralTheoryofSturm-LiouvilleOperators.ApproximationbyRegularProblems...
An Oscillation Theorem for a Sturm -Liouville Eigenvalue Problem We consider a certain Sturm - Liouville eigenvalue problem with self- adjoint and non -separated boundary conditions. We derive an explicit formula for the... M Bohner - 《Mathematische Nachrichten》 被引量: 7发表: 1996年 Sturm-...
Sturm-Liouville Theory || Sturm Oscillation and Comparison Theorems The article reviews the book "Sturm-Liouville Theory: Past and Present," edited by Werner O. Amrein, Andreas M. Hinz and David B. Pearson. WO Amrein,AM Hinz,DP Pearson 被引量: 0发表: 2005年 ...
In this paper we generalize the inverse three spectra theorem for Sturm–Liouville problems. When the boundary problems on [0,1/2] and [1/2,1] subject two different boundary conditions at the midpoint x=1/2, we show that under suitable circumstances, the potential and boundary conditions at...
2) Sturm-Torski theorem Sturm-Tarski定理3) Sturm comparison theorem Sturm比较定理 1. Sturm comparison theorems of solutions for second order nonlinear differential equations; 二阶非线性微分方程解的Sturm比较定理 2. Some differential inequalities are established, and the oscillation for the second ...
Asymptotic behavior of eigenfunctions of the Sturm—Liouville spectral problem No Abstract available for this article. MM Gekhtman,YM Zagirov,VY Yakubov - 《Functional Analysis & Its Applications》 被引量: 19发表: 1983年 ON THE ASYMPTOTIC BEHAVIOR OF THE NORMALIZED EIGENFUNCTIONS OF THE STURM-...
In this article, we consider dissipative Sturm–Liouville operators in the limit-circle case on time scales. Then, using the Livic's Theorem, we prove the ... Hüseyin,Tuna - 《Applied Mathematics & Computation》 被引量: 2发表: 2014年 On Recovering the Sturm–Liouville Differential Operators ...