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On Inverse Problem for Left-definite Discrete Sturm-Liouville Equations [PDF]

, 2010
ON INVERSE PROBLEMS FOR LEFT-DEFINITE DISCRETE STURM-LIOUVILLE EQUATIONS RAMI ALAHMAD APPLIED MATHEMATICS ABSTRACT We are interested in studying a class of discrete Sturm-Liouville problems called left-de nite problems corresponding to a positive ...
Al Ahmad, Rami
core  

Nonlinear Sturm-Liouville theory and its application

, 2002
ÖZET Doğrusal olmayan Sturm- Liouville denklemleri 'basit sarkaç problemi' ve 'yük altındaki kolonların burkulma problemleri' gibi fiziksel problemlerin matematik sel modellerinde önemli rol oynar.
ÖZGÜR YILDIRIM
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Sturm-Liouville problem

Rad se bavi analizom regularnog Sturm-Liouvilleovog problema, problema vezanog uz linearnu običnu diferencijalnu jednadžbu drugog reda sa zadanim rubnim uvjetima. U radu dokazujemo osnovna svojstva rješenja Sturm-Liouvilleovog problema. Dokazujemo da su
Ivaniš, David
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Azalan potansiyelli Sturm-Liouville denklemlerinin çözümlerinin özellikleri

, 2019
Bu tez beş bölümden oluşmaktadır.İlk bölüm giriş kısmına ayrılmıştır.İkinci bölümde, Weyl çözümü ve Weyl-Titchmarsh fonksiyonu incelenecektir.Üçüncü bölümde, azalan potansiyelli Sturm-Liouville denkleminin çözümleri incelenecektir.
KATAR, Deniz
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Investigation of Sturm Liouville boundary value problem

, 2016
Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalıİki bölümden oluşan bu çalışmanın, birinci bölümünde Sturm Liouville Teoremi ve Sturm Liouville problemi anlatılmıştır. İkinci bölümde sınır değer problemi, Green fonksiyonu ve Green formülü tanımlanmıştır.
Akyüz, Serap
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Solutions of Sturm-Liouville Problems

Mathematics, 2020
This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm-Liouville problems.
Upeksha Perera, Christine Böckmann
exaly   +3 more sources

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Tempered Fractional Sturm--Liouville EigenProblems

SIAM Journal on Scientific Computing, 2015
Summary: Continuum-time random walk is a general model for particle kinetics, which allows for incorporating waiting times and/or non-Gaussian jump distributions with divergent second moments to account for Lévy flights. Exponentially tempering the probability distribution of the waiting times and the anomalously large displacements results in tempered-
Mohsen Zayernouri, Mark Ainsworth, George E. Karniadakis   +2 more
openaire   +1 more source

Sturm-Liouville eigenproblems with an interior double pole

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1995
The paper concerns the selfadjoint Sturm-Liouville eigenproblem \(w''(x)+ p(x) w(x)= 0\), on \([a, b]\), \(w(a)= w(b)= 0\), where the function \(p\) has a double pole and two simple turning points. By using the asymptotic behaviour of Whittaker functions the asymptotic approximation for high order modes is obtained.
Acho, Thomas M., Clemence, Dominic P.
openaire   +1 more source

An h -version adaptive FEM for eigenproblems in system of second order ODEs: vector Sturm-Liouville problems and free vibration of curved beams

Engineering Computations, 2020
Purpose This study aims to overcome the involved challenging issues and provide high-precision eigensolutions. General eigenproblems in the system of ordinary differential equations (ODEs) serve as mathematical models for vector Sturm-Liouville (SL) and free vibration problems.
openaire   +1 more source

A High-Precision Chebyshev Collocation Framework for Sturm–Liouville Eigenproblems

Harbin Gongcheng Daxue Xuebao/Journal of Harbin Engineering University
A high-precision spectral implementation framework is presented for computing eigenvalues of second- and fourth-order Sturm–Liouville problems on finite intervals. The framework employs the trigonometric substitution  to assemble all derivative operations on Chebyshev polynomials entry-by-entry from closed-form trigonometric identities, bypassing the ...
openaire   +1 more source