Results 81 to 90 of about 14,640 (198)
Advances in Difference Equations, 2019 We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
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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 +2 more
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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
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On characteristic functions of equilateral regular star-trees [PDF]
Математичні Студії, 2012 A spectral problem generated by the Sturm-Liouville equation on the edges of a regular equilateral finite star-tree with the Dirichlet boundary conditions at the pendant vertices and continuity and Kirchhoff's conditions at the interior vertices is ...
N. A. Rozhenko
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ESPECTRO DE FUČIK PARA EL PROBLEMA DE VALOR FRONTERA STURM-LIOUVILLE
Pesquimat, 2014 In this article, we consider the Fučik equation in Ω = < 0, π > with Sturm-Liouville boundary conditions. We obtain its Fučik spectrum also the complete description and properties of the curves on it.
Santiago César Rojas Romero
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Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse
Abstract and Applied Analysis, 2013 In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
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Regularization of singular Sturm-Liouville equations
, 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 new regularization corresponding operators are correctly defined as quasi-differential.
Goriunov, Andrii, Mikhailets, Vladimir
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Impedance Variation in a Coaxial Coil Encircling a Metal Tube Adapter. [PDF]
Sensors (Basel), 2023 Luo Y, Yang X.
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Вісник Харківського національногоуніверситету імені В.Н. Каразіна. Серія: Радіофізика та електронікаActuality. Recent decades have seen a rapid development of photonics. Therefore, scientific interest in the optical range of electromagnetic radiation continues to be relevant.
О.V. Kazanko +3 more
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A specific Sturm-Liouville differential equation
Thermal Science, 2019 Explicit solutions of the second order ODE: y??(x)+(?+12 sech2x)y(x)=0 and its eigenpairs are obtained by calculating complex residues. Eigenpairs (energy states and energy function), spectral function and eigenfunction expansions are also reported.
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