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15.160  Articles
1 of 1.516 pages  |  10  records  |  more records»
Materials with memory, namely those materials whose mechanical and/or thermodynamical behavior depends on time not only via the present time, but also through its past history, are considered. Specifically, a three dimensional viscoelastic body is studied... see more

In the current paper, we present an efficient direct scheme for weakly singularVolterra integro-differential equations arising in theory of anomalous diffusion. The behav-ior of the system demonstrating the anomalous diffusion is significant for small tim... see more

 In this paper, a matrix approach to the direct computation method for solving Fredholm integro-differential equations (FIDEs) of the second kind with degenerate kernels is presented. Our approach consists of reducing the problem to a set of linear a... see more

The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find.  The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this typ... see more

In this paper, an efficient approximate solution for solving the Cauchy type singular integral equation of the first kind is presented. Bounded solution of the Cauchy type singular Integral equation is discussed. Two type of kernel, separable an... see more

This paper deals with extended solutions of a system of nonlinear integro-differential equations. This system is obtained in the process of applying the Galerkin method for some initial-boundary value problems.

In this paper, a system of singularly perturbed second order semilinear differential equations with prescribed boundary conditions is considered. To solve this problem, a parameter-uniform numerical method is constructed which consists of a classical fini... see more

In this paper, we investigate the stability of the zero solution of an integro-differential equation of the second order with variable delay. By means of the fixed point theory and an exponential weighted metric, we find sufficient conditions under which ... see more

In this paper, we consider a nonlinear integro-vector differential equation of the second order. We establish sufficient conditions that guarantee the global existence and boundedness of solutions of the equation considered. The method of proof involves c... see more

1 of 1.516 pages  |  10  records  |  more records»