Results 31 to 40 of about 341 (180)
On a New Class of Singular Integro-differential Equations
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Solutions of a number of integral single-core Volterra equations [PDF]
In this paper we study some different method for solving volterra integral equation with singular kernel of the first kind and expanded by using a method for finding the solution using Gamma function when f(x) is an algebraic function and α known.
Mohammed Hasso, Khairuddin Mustafa
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Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets [PDF]
In this paper we reduce a free boundary problem from heat transfer to a weakly Singular Volterra integral equation of the first kind. Since the first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on ...
Bahman Babayar-Razlighi
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Exponential stabilization of volterra integral equations with singular kernels
Stabilization problems for certain problems of partial-differential integral equations with possible singular kernels as encountered in the theory of linear viscoelasticity are discussed. Applications of the theory to some mechanical stabilization problems are also illustrated.
Desch, Wolfgang, Miller, Richard K.
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Extrapolation Method for Non-Linear Weakly Singular Volterra Integral Equation with Time Delay
This paper proposes an extrapolation method to solve a class of non-linear weakly singular kernel Volterra integral equations with vanishing delay. After the existence and uniqueness of the solution to the original equation are proved, we combine an ...
Li Zhang, Jin Huang, Hu Li, Yifei Wang
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We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
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Solving one pseudo-Volterra integral equation
In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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Convolution Calculus for a Class of Singular Volterra Integral Equations
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Iwasaki, Katsunori, Kamimura, Yutaka
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Optimal Portfolio Choice With Cross‐Impact Propagators
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
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Numerical treatments for solving nonlinear mixed integral equation
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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