Results 31 to 40 of about 5,721 (217)

INVESTIGATION OF STURM-LIOUVILLE PROBLEM SOLVABILITY IN THE PROCESS OF ASYMPTOTIC SERIES CREATION [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2015
Subject of Research. Creation of asymptotic expansions for solutions of partial differential equations with small parameter reduces, usually, to consequent solving of the Sturm-Liouville problems chain.
A. I. Popov
doaj   +1 more source

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

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
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

Stable factorization of the Calderón problem via the Born approximation

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract In this article, we prove the existence of the Born approximation in the context of the radial Calderón problem for Schrödinger operators. The Born approximation naturally appears as the linear component of a factorization of the Calderón problem; we show that the nonlinear part, obtaining the potential from the Born approximation, enjoys ...
Thierry Daudé   +3 more
wiley   +1 more source

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

open access: yesВестник 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

Internal Wave Characteristics in the Andaman Sea: New Insights From SWOT Observations

open access: yesGeophysical Research Letters, Volume 53, Issue 10, 28 May 2026.
Abstract High‐resolution, repeat‐pass Sea Surface Height Anomaly (SSHA) observations from the Surface Water and Ocean Topography (SWOT) satellite are used to investigate Internal Solitary Waves (ISW) in the Andaman Sea over a one‐year period starting in July 2023. SWOT captured surface signatures of high‐amplitude ISW, with SSHA exceeding 20 cm.
Anup Kumar Mandal   +7 more
wiley   +1 more source

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

open access: yesIranian 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

Effect of Field Line Torsion on the Polarization of ULF Waves

open access: yesJournal of Geophysical Research: Space Physics, Volume 131, Issue 5, May 2026.
Abstract In this paper we suggest a simple modification of the dipole magnetic field which introduces field‐aligned currents and torsion to the field lines. The resulting field lines are not contained in the meridional planes and have resemblance to the geomagnetic field lines in the dawn and dusk flanks of the magnetosphere. We analyze polarization of
K. Kabin, A. W. Degeling, R. Rankin
wiley   +1 more source

Half-inverse Sturm-Liouville problem on a time scale

open access: yes, 2020
In this paper, we consider a half-inverse Sturm-Liouville problem on a time scale which is the union of an interval and another time scale such as . We give a Hochstadt-Lieberman-type theorem for a Sturm-Liouville dynamic equation with Robin boundary ...
Ozkan, A. Sinan, Adalar, Ibrahim
core   +1 more source

Sturm-Liouville problem in vibration of continuous systems

open access: yes, 2022
The goal of this thesis is to compile the theory concerning the Sturm-Liouville problem and partial diferential equations of the second order. Based on the findings the necessary eigenvalues, eigenfunctions and Green's functions, which are connected with
Dobrovolná, Alanis
core   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

open access: yesStudies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

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