Results 41 to 50 of about 412 (154)
The Steklov spectrum of spherical cylinders
Mathematika, Volume 72, Issue 2, April 2026.Abstract The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of their trace on the boundary. These eigenvalues form the Steklov spectrum of the domain.
Spencer Bullent
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Scattering theory for difference equations with operator coefficients
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We investigate a class of second‐order difference equations featuring operator‐valued coefficients with the aim of approaching problems of stationary scattering theory. We focus on various compact perturbations of the discrete Laplacian given in a Hilbert space of bi‐infinite square‐summable sequences with entries from a fixed Hilbert space ...
David Sher +3 more
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Number theoretic properties of Wronskians of Andrews-Gordon series
, 2008 For positive integers 1 ≤ i ≤ k, we consider the arithmetic properties of quotients of Wronskians in certain normalizations of the Andrews–Gordon q-series.
Mortenson, Eric +5 more
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1943-1956, February 2026.ABSTRACT The existence of one or two strictly positive solutions of Neumann boundary value problems is studied in this paper where the nonlinearities are L1$$ {L}^1 $$‐Carathéodory functions, so they are not necessarily continuous. Additional weaker and better conditions than those used in previous results are posted on the nonlinearities to obtain ...
Kunquan Lan, Gustavo Cicchini Santos
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Chains of KP, semi-infinite 1-Toda lattice hierarchy and Kontsevich integral
Journal of Applied Mathematics, 2001 There are well-known constructions of integrable systems that are chains of infinitely many copies of the equations of the KP hierarchy “glued” together with some additional variables, for example, the modified KP hierarchy.
L. A. Dickey
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Term Structure Shapes and Their Consistent Dynamics in the Svensson Family
Mathematical Finance, Volume 36, Issue 1, Page 140-155, January 2026.ABSTRACT We examine the shapes attainable by the forward‐ and yield‐curve in the widely‐used Svensson family, including the Nelson‐Siegel and Bliss subfamilies. We provide a complete classification of all attainable shapes and partition the parameter space of each family according to these shapes.
Martin Keller‐Ressel, Felix Sachse
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Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
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Wronskians and Linear Dependency of Entire Functions in Cn
, 1992 Wronskians criteria for linear dependency of multivariate functions are ...
Berenstein, Carlos A. +2 more
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Zeros of the Wronskian and renormalized oscillation theory [PDF]
American Journal of Mathematics, 1996 For general Sturm-Liouville operators with separated boundary conditions, we prove the following: If E 1,2 ∈ R and if u 1,2 solve the differential equation Hu j = E j u j , j = 1, 2 and respectively satisfy the boundary condition on the left/right, then the dimension of the spectral projection P ( E 1 , E 2 ) ( H ) of H equals the number of zeros of ...
Gesztesy, F., Simon, B., Teschl, G.
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Zeros of multiple orthogonal polynomials: location and interlacing
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We prove a criterion for the possible locations of zeros of type I and type II multiple orthogonal polynomials in terms of normality of degree 1 Christoffel transforms. We provide another criterion in terms of degree 2 Christoffel transforms for establishing zero interlacing of the neighboring multiple orthogonal polynomials of type I and type
Rostyslav Kozhan, Marcus Vaktnäs
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