Results 251 to 260 of about 16,231 (283)

On a Nonlinear Volterra Integro‐differential Equation with a Weakly Singular Kernel

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996
The paper deals with the following heat equation with nonlinear and nonlocal boundary conditions \[ u_t(x,t)=u_{xx}(x,t), \quad x\in(0,1),\;t\in(0,\infty)\quad u(x,0)=1,\;x\in(0,1);\;u_x(0,t) =0,\;t\in(0,\infty) \] \[ u_x(1,t)={Em\over 1+L}\biggl[L\gamma(t)-(1-\gamma(t))u(1,t)\biggr],\;t\in (0,\infty)\quad m\gamma(t)+\int^1_0 u(x,t)dx=1,\;t\in(0,\infty)
Jumarhon, B., Pidcock, M.
openaire   +1 more source

Solution of a class of Volterra integral equations with singular and weakly singular kernels

Applied Mathematics and Computation, 2008
The purpose of the paper is to derive the solution to a Volterra integral equation \[ y(t)=g(t)+\int^t_0\frac{s^{\mu-\nu}}{t^\mu}y(s)\,ds\quad ...
Tang, B.-Q., Li, X.-F.
openaire   +1 more source

Legendre Spectral Projection Methods for Hammerstein Integral Equations with Weakly Singular Kernel

International Journal of Applied and Computational Mathematics, 2018
This paper is devoted to the Fredholm-Hammerstein integral equation of the second kind \[ u(s)-\int\limits_{-1}^{1}k(s,t)\psi(t,u(t))dt=f(s), \; -1\leq s\leq 1, \tag{1} \] with respect to the unknown function \(u(s)\) defined in a Banach space \(\mathbb{X}=C[-1,1]\subset L^2[-1,1]\).
openaire   +1 more source

Analysis of a nonlocal diffusion model with a weakly singular kernel

Applied Mathematics Letters
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Jia, Jinhong, Yang, Zhiwei, Wang, Hong
openaire   +1 more source

Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis

Mathematical Methods in the Applied Sciences, 2021
Pratibhamoy Das, Subrata Rana
exaly  

Multiscale Solution of Integral Equations with Weakly Singular Kernels

2020
M M Panja, B N Mandal
openaire   +1 more source

On Integro-Differential Equations with Weakly Singular Kernels

2017
Kazufumi Ito, Franz Kappel
openaire   +1 more source

Damped vibrations of hereditary -elastic systems with weakly singular kernels

Journal of Applied Mechanics and Technical Physics, 1972
V. M. Zelenev, S. I. Meshkov, Yu. A. Rossikhin   +2 more
openaire   +1 more source

VIDEs with weakly singular kernels

2004
openaire   +1 more source

Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations

Engineering Analysis With Boundary Elements, 1991
Yijun Liu
exaly