Results 61 to 70 of about 516,450 (251)

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, EarlyView.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

Szeg\"o kernel asymptotics and Morse inequalities on CR manifolds

, 2012
We consider an abstract compact orientable Cauchy-Riemann manifold endowed with a Cauchy-Riemann complex line bundle. We assume that the manifold satisfies condition Y(q) everywhere. In this paper we obtain a scaling upper-bound for the Szeg\"o kernel on
A. Andreotti, A. Andreotti, A. Andreotti, B. Berndtsson, C.-Y. Hsiao, Chin-Yu Hsiao, E. Epstein, E. Getzler, G. Marinescu, G. Marinescu, George Marinescu, J.-M. Bismut, J.-M. Bismut, J.-M. Bismut, J.-P. Demailly, J.J. Kohn, L. Boutet de Monvel, L. Boutet de Monvel, M.-C. Shaw, P. Dingoyan, P. Dingoyan, R. Berman, R. Berman, S. Fu, S. Wu, S.S.-T. Yau   +25 more
core   +1 more source

Application of Chebyshev and trigonometric polynomials to the approximation of a solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane [PDF]

Opuscula Mathematica, 2008
In this article Chebyshev and trigonometric polynomials are used to construct an approximate solution of a singular integral equation with a multiplicative Cauchy kernel in the half-plane.
Paweł Karczmarek
doaj  

Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel

, 2017
In this article, we present approximate solution of the two-dimensional singular nonlinear mixed Volterra-Fredholm integral equations (V-FIE), which is deduced by using new strategy (combined Laplace homotopy perturbation method (LHPM)). Here we consider
F. A. Hendi, M. M. Al-Qarni
semanticscholar   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip, Adams R A, Andreu-Vaillo F, Constantin A, Duruk N, Eringen A C, H A Erbay, Kunin I A, Ladas G E, Levine H A, Ogden R W, Rogula D, Runst T, S Erbay, Taylor M E   +14 more
core   +1 more source

A new technical for solving a weakly singular integro-differential equations

Journal of Taibah University for Science, 2017
In this work, we transform a weakly singular integro-differential equations with logarithmic kernel to singular integral equations of Cauchy type and we prove by regularization the existence and uniqueness of the solution of this equations.
Mostefa Nadir
doaj   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos, Antonios Charalambopoulos   +1 more
wiley   +1 more source

Spherical polyharmonics and Poisson kernels for polyharmonic functions

, 2018
We introduce and develop the notion of spherical polyharmonics, which are a natural generalisation of spherical harmonics. In particular we study the theory of zonal polyharmonics, which allows us, analogously to zonal harmonics, to construct Poisson ...
Grzebuła, Hubert, Michalik, Sławomir
core   +1 more source