Results 11 to 20 of about 972 (185)

Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem

open access: yesMathematical Modelling and Analysis, 2002
A quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind and corresponding eigenvalue problem is constructed.
R. Pallav, A. Pedas
doaj   +1 more source

Numerical Treatment of Abel’s Integral Equations Via Chelyshkov Wavelets Collocation Technique [PDF]

open access: yesComputational Algorithms and Numerical Dimensions
This study presents a method to solve weakly singular Volterra integral equations using an approximation approach. The method relies on Chelyshkov wavelet polynomials. The characteristics of the Chelyshkov wavelet are presented.
Youssef Esmaiel   +2 more
doaj   +1 more source

Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications

open access: yesAdvances in Difference Equations, 2019
This paper investigates some new retarded weakly singular integral inequalities with discontinuous functions for two independent variables. The inequalities given here can be used in the qualitative analysis of various problems for integral equations and
Yaoyao Luo, Run Xu
doaj   +1 more source

On the convergence rate of collocation methods for Volterra integral equations with weakly singular oscillatory trigonometric kernels

open access: yesResults in Applied Mathematics, 2023
This paper presents efficient collocation methods for linear Volterra integral equations with weakly singular highly oscillatory kernels. The numerical steepest descent method and generalized Gauss–Laguerre rule are utilized to calculate the weakly ...
Qinghua Wu, Mengjun Sun
doaj   +1 more source

Two‐grid iteration method for weakly singular integral equations

open access: yesMathematical Modelling and Analysis, 2000
For the solution of weakly singular integral equations by the piecewise polynomial collocation method it is necessary to solve large linear systems.
K. Hakk
doaj   +1 more source

Singularly perturbed Volterra integral equations with weakly singular kernels

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
doaj   +1 more source

Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]

open access: yesArchives of Control Sciences
This work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
doaj   +1 more source

Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations

open access: yesMathematical Modelling and Analysis, 1997
„Polynomial spline collocation method for nonlinear two‐dimensional weakly singular integral equations" Mathematical Modelling Analysis, 2(1), p.
Arvet Pedas
doaj   +1 more source

Peroxidasin enables melanoma immune escape by inhibiting natural killer cell cytotoxicity

open access: yesMolecular Oncology, EarlyView.
Peroxidasin (PXDN) is secreted by melanoma cells and binds the NK cell receptor NKG2D, thereby suppressing NK cell activation and cytotoxicity. PXDN depletion restores NKG2D signaling and enables effective NK cell–mediated melanoma killing. These findings identify PXDN as a previously unrecognized immune evasion factor and a potential target to improve
Hsu‐Min Sung   +17 more
wiley   +1 more source

Colorectal cancer‐derived FGF19 is a metabolically active serum biomarker that exerts enteroendocrine effects on mouse liver

open access: yesMolecular Oncology, EarlyView.
Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley   +5 more
wiley   +1 more source

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