Results 261 to 270 of about 1,588 (293)
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Identification of Weakly Singular Memory Kernels in Heat Conduction
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1997AbstractInverse problems of identification of memory kernels in linear heat conduction are dealt with in case of weakly singular kernels in the space Lp and of continuous kernels with power singularity. The problems are reduced to nonlinear Volterra integral equations of convolution type for which by the method of contraction with weighted norms global
Janno, J., von Wolfersdorf, Lothar
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Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel
Applied Mathematics and Computation, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuhuang Xiang, Qingyang Zhang
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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, 1996The 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.
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PERIODICITY AND SYMMETRY IN A CLASS OF INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS
Far East Journal of Dynamical Systems, 2023Summary: We introduce the periodic and symmetric properties of the states in a class of weakly singular integral equations. The motivation of this study is due to the main results reported in a previous paper according to which bounded forces produce bounded states in the infinite field. We observe that within finite time, steady states develop.
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A new degenerate kernel method for a weakly singular integral equation
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamza Guebbai, Laurence Grammont
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Preconditioners for Solving Stochastic Boundary Integral Equations with Weakly Singular Kernels
Computing, 1999The paper deals with the singular integral equation \[ \sigma(x)= \int_{G'} a(x,y) k(x-y) \sigma(y) dy+ w(x),\tag{1} \] where \(a\in C^m(G'\times G')\), \(k\in C^{m- 1}(G'\setminus\{0\})\), \(m\geq 1\), \(G'\subseteq \mathbb{R}^d\) and \(w\) is a given process defined on a probability space.
D. Rostami Varnos Fadrani +1 more
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Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels
SIAM Journal on Numerical Analysis, 1983zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A discretization of Volterra integral equations of the third kind with weakly singular kernels
Journal of Inverse and Ill-Posed Problems, 1997Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Prößdorf, Siegfried +1 more
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Computer Methods in Applied Mechanics and Engineering, 2003
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Adolfsson, Klas +2 more
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Adolfsson, Klas +2 more
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Resolvents for weakly singular kernels and fractional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2012The resolvent matrix equation \[ R(t,s) = B(t,s) + \int\limits_s^t B(t,u) R(u,s) du, \] where \(B(t,s)\) denotes a given weakly singular matrix is studied. The solution \(R(t,s)\) is obtained by means of fixed point mappings. The result is a series that begins with some singular terms after which the remainder of the terms defines a continuous function.
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