Results 61 to 70 of about 13,845 (157)

Inverse spectral problems for Sturm--Liouville operators with matrix-valued potentials

, 2009
We give a complete description of the set of spectral data (eigenvalues and specially introduced norming constants) for Sturm--Liouville operators on the interval $[0,1]$ with matrix-valued potentials in the Sobolev space $W_2^{-1}$ and suggest an ...
Adams R A, Agranovich Z S, Albeverio S, Gasymov M G, Gasymov M G, Gelfand I M, Gesztesy F, Gohberg I, Gohberg I, Kato T, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Krein M G, Lesch M, Levitan B M, Marchenko V A, Marchenko V A, Marchenko V A, Marchenko V A, N S Trush, Pöschel J, Ramm A G, Titchmarsh E C, Trush N S, Trush N S, Ya V Mykytyuk, Yurko V A   +29 more
core   +2 more sources

Heat Transfer in n‐Dimensional Parallelepipeds Under Zero Dirichlet Conditions

Engineering Reports, Volume 7, Issue 10, October 2025.
The graphical abstract visually summarizes the analytical study of heat propagation in an n‐dimensional domain: Top Left: Shows a unit cube transformed into a parallelepiped via an affine transformation, representing the geometric generalization of the domain.
Zafar Duman Abbasov, Davron Aslonqulovich Juraev, Obidjon Khayrullaevich Abdullaev, Irfan Nurhidayat, Mohd Asif Shah   +4 more
wiley   +1 more source

Inequalities among eigenvalues of Sturm–Liouville problems

Journal of Inequalities and Applications, 1999
There are well-known inequalities among the eigenvalues of Sturm–Liouville problems with periodic, semi-periodic, Dirichlet and Neumann boundary conditions.
Kong Q, Wu H, Zettl A, Eastham MSP
doaj  

Multi‐MeV Electron Occurrence and Lifetimes in the Outer Radiation Belt and Slot Region During the Maximum of Solar Cycle 22

Space Weather, Volume 23, Issue 10, October 2025.
Abstract The Combined Release and Radiation Effects Satellite (CRRES) observed the response of the Van Allen radiation belts to peak solar activity within solar cycle 22. This study analyses relativistic and ultra‐relativistic electron occurrence and loss timescales within the CRRES High Energy Electron Fluxometer (HEEF) data set, including during ...
R. T. Desai, J. Perrin, N. P. Meredith, S. A. Glauert, S. Ruparelia, W. R. Johnston   +5 more
wiley   +1 more source

Controllability and Observability of Nonautonomous Riesz-Spectral Systems

Abstract and Applied Analysis, 2018
There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process.
Sutrima Sutrima, Christiana Rini Indrati, Lina Aryati   +2 more
doaj   +1 more source

A functional model, eigenvalues, and finite singular critical points for indefinite Sturm-Liouville operators

, 2009
Eigenvalues in the essential spectrum of a weighted Sturm-Liouville operator are studied under the assumption that the weight function has one turning point.
A. Fleige, A. Fleige, A. Fleige, A. Fleige, A.B. Mingarelli, A.N. Kochubei, B. Curgus, B. Ćurgus, B. Ćurgus, B. Ćurgus, B.M. Levitan, D. Hilbert, E.A. Coddington, E.C. Titchmarsh, E.C. Titchmarsh, F. Gesztesy, F.V. Atkinson, F.V. Atkinson, H. Langer, I. Knowles, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.M. Karabash, I.S. Kac, J. Behrndt, J. Behrndt, J. Behrndt, J. Weidmann, J.F. Brasche, M. Klaus, M.G. Krein, P. Binding, P. Jonas, P. Jonas, R. Beals, R. Beals, R.C. Gilbert, R.G.D. Richardson, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.A. Derkach, V.I. Gorbachuk, W. Allegretto   +49 more
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Finite‐Dimensional Reductions and Finite‐Gap‐Type Solutions of Multicomponent Integrable PDEs

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT The main object of the paper is a recently discovered family of multicomponent integrable systems of partial differential equations, whose particular cases include many well‐known equations such as the Korteweg–de Vries, coupled KdV, Harry Dym, coupled Harry Dym, Camassa–Holm, multicomponent Camassa–Holm, Dullin–Gottwald–Holm, and Kaup ...
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev   +2 more
wiley   +1 more source

Space versus energy oscillations of Prufer phases for matrix Sturm-Liouville and Jacobi operators

Electronic Journal of Differential Equations, 2020
This note considers Sturm oscillation theory for regular matrix Sturm-Liouville operators on finite intervals and for matrix Jacobi operators. The number of space oscillations of the eigenvalues of the matrix Prufer phases at a given energy, defined ...
Hermann Schulz-Baldes, Liam Urban
doaj  

Regularization of singular Sturm-Liouville equations [PDF]

, 2010
Paper deals with the singular Sturm-Liouville expressions $$l(y) = -(py')' + qy$$ on a finite interval with coefficients $$q = Q', \quad 1/p, Q/p, Q^2/p \in L_1,$$ where derivative of the function $Q$ is understood in the sense of distributions. Due to a
Goriunov, Andrii, Mikhailets, Vladimir
core  

Self‐similar instability and forced nonuniqueness: An application to the 2D euler equations

Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.
Abstract Building on an approach introduced by Golovkin in the ’60s, we show that nonuniqueness in some forced partial differential equations is a direct consequence of the existence of a self‐similar linearly unstable eigenvalue: the key point is a clever choice of the forcing term removing complicated nonlinear interactions.
Michele Dolce, Giulia Mescolini
wiley   +1 more source