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Living with urban fear: vervet monkey response to an evolutionarily new predator

Robira B, Bande N, Mercier S, Manser A, Vanderlocht C, Forss S.   +5 more
europepmc   +1 more source

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Analysis of a nonlocal diffusion model with a weakly singular kernel

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinhong Jia, Zhiwei Yang, Hong Wang
exaly   +2 more sources

Regularity of the solution of Hammerstein equations with weakly singular kernel

Integral Equations and Operator Theory, 1990
The authors study a class of Fredholm integral equations of the second kind such as \((1)\quad \phi (s)-\int^{b}_{a}g_{\alpha}(| s- t|)k(s,t)\phi (t)dt=f(s),\quad a\leq s\leq b\) where \(g_{\alpha}(s)=s^{\alpha -1}\text{ for ...
Hideaki Kaneko, Yuesheng Xu, Xu Yuesheng   +2 more
exaly   +3 more sources

A Solvability of a Problem for a Fredholm Integro-Differential Equation with Weakly Singular Kernel

Lobachevskii Journal of Mathematics, 2022
The authors consider a two-point boundary value problem for the following Fredholm integro-differential equation with singular kernel: \[ \frac{dx}{dt}=A(t)x(t)+\int_0^TK(t,s)x(s)ds+f(t), \] \[ Bx(0) + Cx(T)=d,\quad d \in \mathbb{R}^n, \quad t\in[0,T], \] where \(x(t)\) is an unknown \(n\)-vector-function, \(A(t)\) is an \(n\times n\) continuous matrix-
A T Assanova, Assanova A T
exaly   +3 more sources

The exact solution of a class of Volterra integral equation with weakly singular kernel

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Chen 0008, Wei Jiang 0012
exaly   +2 more sources

The exact solution of a linear integral equation with weakly singular kernel

Journal of Mathematical Analysis and Applications, 2008
A space W21[a,b], which is proved to be a reproducing kernel space with simple reproducing kernel, is defined. The expression of its reproducing kernel function is given.
Yingzhen Lin
exaly   +2 more sources

Identification of Weakly Singular Memory Kernels in Viscoelasticity

ZAMM, 1998
The authors deal with the problem of identifying an unknown memory kernel \(m:[0,T]\to {\mathbb{R}}\) in the integrodifferential equation \[ \rho D_t^2u(x,t) - \lambda \text{ div} (\beta \nabla u(x,t)) - (m*\text{ div} (\beta \nabla))(x,t) = \gamma(x,t)\qquad (x,t)\in Q=D\times (0,T) \tag{1} \] where \(\lambda \in \{0,1\}\), \(f*g(t)=\int_0^t f(t-s)g(s)
Janno, J., von Wolfersdorf, L.
openaire   +2 more sources

On the mixed nonlinear integro-differential equations with weakly singular kernel

Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanane Belhireche, Hamza Guebbai
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On the Solution of a Volterra Integral Equation with a Weakly Singular Kernel

SIAM Journal on Mathematical Analysis, 1973
The solution $x(t)$ of the Volterra integral equation of the second kind $x(t) = f_1 (t) + \sqrt t f_2 (t) + \int _0^t g(t,s,x(s))(t - s)^{ - {1 / 2}} ds$ is examined. It is shown that $x(t) = u(t) + \sqrt t v(t)$, where $u(t)$ and $v(t)$ are smooth under appropriate smoothness conditions on $f_1 (t)$, $f_2 (t)$ and $g(t,s,x)$ and satisfy a system of ...
de Hoog, Frank, Weiss, Richard
openaire   +3 more sources

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 ...
Bao-Qing Tang, Xian-Fang Li
openaire   +1 more source