Results 101 to 110 of about 66,959 (230)

Exponential decay of two-body eigenfunctions: A review

Electronic Journal of Differential Equations, 2000
We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
doaj  

Numerical solution of the multi-order fractional differential equation using Legendre wavelets and eigenfunction approach

Partial Differential Equations in Applied Mathematics
An eigenfunction approach is implemented in this article to solve the multi-order fractional differential equations (FDEs) with boundary conditions. The approximate unknown solution is expressed as a linear combination of eigenfunctions in the present ...
Shivani Ranta, Sandipan Gupta, Dileep Kumar Sharma   +2 more
doaj   +1 more source

Abiotic drivers of co‐occurrence and diversity patterns of Calopterygidae species in Amazonian protected freshwaters

Ecological Entomology, Volume 51, Issue 2, Page 235-249, April 2026.
Species co‐occurrences rely on their ability to explore similar or distinct available resources, and possible niche overlap can prevent their presence and establishment in a given site Damselflies of the Calopterygidae family demonstrated negative co‐occurrences in streams inside and outside PAs, highlighting that their ecological similarity is ...
Joás Silva Brito, Everton Cruz Silva, Gabriel Martins Cruz, Victor Rennan Santos Ferreira, Rafael Costa Bastos, Josinete Sampaio Monteles, Cristian Camilo Mendoza‐Penagos, Fernando Geraldo Carvalho, José Max Barbosa Oliveira‐Junior, Karina Dias‐Silva, Thaisa Sala Michelan, Luciano Fogaça de Assis Montag, Lilian Casatti, Leandro Juen   +13 more
wiley   +1 more source

A Relativistic Conical Function and its Whittaker Limits

Symmetry, Integrability and Geometry: Methods and Applications, 2011
In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
doaj   +1 more source

Bifurcation Analysis of a Resource–Consumer System With Explicit Spatiotemporal Memory

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT In ecological systems, animal movement is often influenced by memory and spatial cognition, especially in advanced species. This paper investigates the dynamics of a diffusive resource–consumer model incorporating explicit spatiotemporal distributed memory, where memory effects are modeled as distributed delays in both time and space.
Luhong Ye, Hao Wang
wiley   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Existence and Spectral Stability Analysis of Viscous‐Dispersive Shock Profiles for Isentropic Compressible Fluids of Korteweg Type

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT The system describing the dynamics of a compressible isentropic fluid exhibiting viscosity and internal capillarity in one space dimension and in Lagrangian coordinates, is considered. It is assumed that the viscosity and the capillarity coefficients are nonlinear smooth, positive functions of the specific volume, making the system the most ...
Raffaele Folino, Corrado Lattanzio, Ramón G. Plaza   +2 more
wiley   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Multiple front and pulse solutions in spatially periodic systems

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley   +1 more source

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
wiley   +1 more source