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A Survey of Nonlinear Sturm-Liouville Equations [PDF]

open access: yes, 2013
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
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Inverse Sturm–Liouville problems with finite spectrum [PDF]

open access: yes, 2012
We study inverse Sturm–Liouville problems of Atkinson type whose spectrum consists entirely of a finite set of eigenvalues. We show that given two finite sets of interlacing real numbers there exists a class of Sturm–Liouville equations of Atkinson type ...
Kong, Qingkai   +3 more
core   +1 more source

Continuations of Hermitian indefinite functions and corresponding canonical systems : an example [PDF]

open access: yes, 2004
M. G. Krein established a close connection between the continuation problem of positive definite functions from a finite interval to the real axis and the inverse spectral problem for differential operators.
Langer, M.   +5 more
core   +3 more sources

q-multiplicative Sturm-Liouville problem [PDF]

open access: yes, 2023
In this paper, the classical Sturm–Liouville problem is investigated in the context of q-multiplicative calculus. Some spectral properties of the q-multiplicative Sturm–Liouville problems, such as formally self-adjointness, and orthogonality of ...
Tuna, H., Allahverdiev, B.P.
core   +1 more source

MASALAH STURM-LIOUVILLE SINGULAR FRAKSIONAL [PDF]

open access: yes, 2017
Persamaan diferensial Sturm-Liouville merupakan persamaan diferensial biasa order dua. Persamaan diferensial Sturm-Liouville yang dilengkapi dengan syarat batas homogen disebut masalah Sturm-Liouville.
qomariyah, nurul
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El problema de Sturm-Liouville [PDF]

open access: yes, 2008
Este estudio centra su atencion en problemas de Ecuaciones Diferenciales con valor en la frontera estando presentes operadores diferenciales lineales auto adjuntos con funciones propias mutuamente ortogonales que son conocidas como los problemas de ...
González Gaitán, Ángel Enrique
core   +3 more sources

在有限區間向量型Sturm-Liouville方程式的唯一性定理

open access: yes, 2013
博士關於定義在區間的非對稱形Sturm-Liouville 微分方程式的反問題研究及學習,Yurko ( [24] , 2006)利用Weyl矩陣,提出了矩陣邊界值問題的反問題有唯一性的定理。 在本篇論文,首先;對於Sturm-Liouville矩陣微分方程式含有一般的邊界條件的反問題,我們將証明ㄧ般的h1 , H1,亦可得到Q(x)有唯一性。利用矩陣型式邊界值反問題的唯一性,我們主要工作是在向量微分方程式邊界值反問題上,探求向量頻譜(spectral sets)與位階函數Q(x)唯一性的關係 ...
Shieh, Chung-Tsun   +1 more
core   +1 more source

MASALAH STURM-LIOUVILLE FRAKSIONAL PERIODIK [PDF]

open access: yes, 2017
Masalah Sturm-Liouville adalah persamaan diferensial berorde dua yang dirumuskan sebagai − d dx (p(x) dy dx ) + q(x)y(x) = r(x)y(x); x ∈ [a; b] yang dilengkapi dengan syarat batas c1y(a) + d1y′(a) = 0; c2y(b) + d2y′(b) = 0: Fungsi p(x); p′(x); q(x); r(x)
A, RACHMAT OKTA
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Special functions and generalized Sturm-Liouville problems

open access: yes, 2020
This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on ...
Masjed-Jamei, Mohammad
core   +1 more source

METODE ITERASI VARIASIONAL PADA MASALAH STURM-LIOUVILLE [PDF]

open access: yes, 2013
Hilda Anggriyana, 2013. METODE ITERASI VARIASIONAL PADA MASALAH STURM-LIOUVILLE. Fakultas Matematika dan Ilmu Pengetahuan Alam. Universitas Sebelas Maret.
Anggriyana, Hilda
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