Results 41 to 50 of about 1,276,020 (209)
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
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A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type [PDF]
, 2020 summary:In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation.
Allahverdiev, Bilender P. +1 more
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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
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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 +2 more
wiley +1 more source
Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електронікаRelevance. In connection with solving the problem of scattering of electromagnetic waves (diffraction problem) on objects such as photonic crystals (one-dimensional periodic unbounded), it is important to study the dispersion relation.
O. V. Kazanko +2 more
doaj +1 more source
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 +1 more
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Sturm-Liouville Equations with Besicovitch Almost-Periodicity [PDF]
Proceedings of the American Mathematical Society, 1989 In this article we extend a former result [Proc. Amer. Math. Soc. 97 , (1986), 269-272] dealing with the oscillation of (Bohr) almost-periodic Sturm-Liouville operators to the generalization of such as considered by Besicovitch.
Dzurnak, A., Mingarelli, A. B.
openaire +1 more source
Stability of stationary solutions for nonintegrable peakon equations [PDF]
, 2014 The Camassa-Holm equation with linear dispersion was originally derived as an asymptotic equation in shallow water wave theory. Among its many interesting mathematical properties, which include complete integrability, perhaps the most striking is the ...
S. Lafortune +3 more
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