Results 51 to 60 of about 1,020 (214)

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, Luis Silva, Boris Vertman, Monika Winklmeier   +3 more
wiley   +1 more source

Strictly Positive Solutions of Neumann Boundary Value Problems and Applications to Duffing Type Models

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
wiley   +1 more source

The generalised q-Wronskian solutions of the q-deformed constrained modified KP hierarchy

, 2021
In this paper, we give the form of the q-cmKP hierarchy generated by the gauge transformation operator $T_{n+k}$. We show a necessary and sufficient condition to reduce the generalised q-Wronskian solutions from the q-mKP hierarchy to generalised the q ...
Wang, Wei, Tian, Kelei, Xu, Ying, Yi, Ge
core   +1 more source

On Gegenbauer polynomials and Wronskian determinants of trigonometric functions [PDF]

M. E. Larsen evaluated the Wronskian determinant of functions $\{\sin(mx)\}_{1\le m \le n}$. We generalize this result and compute the Wronskian of $\{\sin(mx)\}_{1\le m \le n-1}\cup \{\sin((k+n)x\} $.
Yuan, Minjian
core   +2 more sources

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
wiley   +1 more source

On Factorization and Calculation of Determinant of Block Matrices with Triangular Submatrices

Journal of New Theory
In this paper, we consider some block matrices of dimension $nm\times{nm}$ whose components are triangular matrices of dimension $n\times{n}$. We prove that the determinant of such block matrices is determined only by the diagonal elements of their ...
Fatma Altun, Ufuk Kaya
doaj   +1 more source

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
wiley   +1 more source

On the Wronskian combinants of binary forms

, 2005
16 pages, LaTeXFor generic binary forms $A_1,...,A_r$ of order $d$ we construct a class of combinants $C = \{\C_q: 0 \le q \le r, q \neq 1\}$, to be called the Wronskian combinants of the $A_i$.
Chipalkatti, Jaydeep, Abdesselam, Abdelmalek   +1 more
core   +3 more sources

M-Lump Solution, Semirational Solution, and Self-Consistent Source Extension of a Novel 2+1-Dimensional KdV Equation

Advances in Mathematical Physics, 2022
In this paper, we derive the M-lump solution in terms of Matsuno determinant for the combined KP3 and KP4 (cKP3-4) equation by applying the double-sum identities for determinant and investigate the dynamical behaviors of 1- and 2-lump solutions.
Rihan Hai, Hasi Gegen
doaj   +1 more source

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
wiley   +1 more source