Results 81 to 90 of about 485,398 (210)

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 13361-13381, August 2026.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

Abstract and Applied Analysis, 2012
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj   +1 more source

Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
doaj   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Solvability of some integral equations in Hilbert spaces

Electronic Journal of Differential Equations, 2004
We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
doaj  

A Hybrid Solid‐State Battery with a Panoramic‐Scale Stack of Bulk Electrodes and a Thin‐Film Electrolyte

Small, Volume 22, Issue 44, 7 August 2026.
A hybrid all‐solid‐state battery (ASSB) is implemented by integrating a thin‐film electrolyte on a bulk anode, and a thick cathode sheet. A densified anode substrate with suppressed porosity is prepared by cold pressing. Thin‐film electrolyte is fabricated onto the bulk substrate via co‐sputtering and infrared‐based rapid annealing.
Hyeseong Jeong, Young Jung Kim, Min Kwan Seo, Dongwook Shin, Jae Jin Kim, Jong‐Ho Lee, Sung Soo Shin, Hyoungchul Kim   +7 more
wiley   +1 more source

Fredholm classes in operator algebras [PDF]

, 1995
Thesis (PhD)--University of Pretoria, 1995.In the first part of the thesis the divisors of zero in the "Calkin" algebra of a von Neumann algebra relative to an arbitrary closed ideal are used to define classes of Fredholm-type operators. The geometrical,

core  

Fredholm differential operators with unbounded coefficients

, 2005
We prove that a first-order linear differential operator G with unbounded operator coefficients is Fredholm on spaces of functions on R with values in a reflexive Banach space if and only if the corresponding strongly continuous evolution family has ...
Yuri Tomilov, Yuri Latushkin
core   +1 more source

Joint Identification of Groundwater Contamination Source and Heterogeneous Hydrogeological Parameters in LNAPL‐Contaminated Sites Based on Deep Convolutional Encoder‐Decoder Neural Networks

Water Resources Research, Volume 62, Issue 8, August 2026.
Abstract Accurate identification of nonaqueous phase liquid (NAPL) contamination sources is critical in pollution management. However, the joint inversion of source characteristics and heterogeneous hydrogeological parameters faces two major challenges.
Jiannan Luo, Aimin Cai, Xi Ma, Yong Liu, Yefei Ji, Bishan Meng, Wenxi Lu   +6 more
wiley   +1 more source

Factorization of abstract operators into two second degree operators and its applications to integro-differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched.
I.N. Parasidis, E. Providas
doaj   +1 more source