Results 31 to 40 of about 5,586,428 (163)

A Survey of Nonlinear Sturm-Liouville Equations [PDF]

, 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
core  

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics

Вестник КазНУ. Серия математика, механика, информатика, 2020
The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
doaj   +1 more source

Bayesian Analysis of Infragravity Edge Waves

Journal of Geophysical Research: Oceans, Volume 131, Issue 9, September 2026.
Abstract Infragravity (IG) waves (periods nominally 25–250 s) are generated in shallow water by nonlinear difference‐frequency interactions between shorter period (nominally 4–25 s) incident sea‐swell waves. Previous studies show strong IG reflection from the beach face and detectable IG energy in alongshore‐propagating edge waves.
Cassandra S. Henderson, R. T. Guza, Bruce D. Cornuelle   +2 more
wiley   +1 more source

Using homotopy analysis method to find the eigenvalues of higher order fractional Sturm–Liouville problems [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2020
We utilize the homotopy analysis method to find eigenvalues of fractional Sturm–Liouville problems. Inasmuch as very few papers have been devoted to estimating eigenvalues of these kind of problems, this work enjoys a particular significance in many ...
J. Biazar, M. Dehghan, T. Houlari
doaj   +1 more source

Lax Pairs for BKM Hierarchy

Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa–Holm, Dullin–Gottwald ...
Andrey Yu. Konyaev, Vladimir S. Matveev
wiley   +1 more source

在有限區間向量型Sturm-Liouville方程式的唯一性定理

, 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, Chang, Tsorng-Hwa; Shieh, Chung-Tsun   +1 more
core   +1 more source

New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Uniqueness problem for accretive Schrödinger operators with complex singular coefficients

Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract This paper studies the uniqueness problem for the one‐dimensional Schrödinger operator associated with the formal differential expression l[u]=−u′′+qu+i[(ru)′+ru′]$l[u] =-u^{\prime \prime }+qu + i[(ru)^{\prime }+ru^{\prime }] $ in the complex Hilbert space L2(R)$L^{2}(\mathbb {R})$.
Vladimir Mikhailets, Volodymyr Molyboga
wiley   +1 more source

Inverse nodal problem for a class of nonlocal sturm‐liouville operator

Mathematical Modelling and Analysis, 2010
Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
doaj   +1 more source