A note on Bessel function dual integral equation with weight function.
A note on dual integral equations involving associated Legendre function.
A note on dual integral equations involving inverse associated Weber-Orr transforms.
Application of matrix polynomials to investigation of singular equations.
Comparison projection method with Adomian's decomposition method for solving system of integral equations.
Contact problem for bonded nonhomogeneous materials under shear loading.
Convergence analysis of piecewise continuous collocation methods for higher index integral algebraic equations of the Hessenberg type
In this paper, we deal with a system of integral algebraic equations of the Hessenberg type. Using a new index definition, the existence and uniqueness of a solution to this system are studied. The well-known piecewise continuous collocation methods are used to solve this system numerically, and the convergence properties of the perturbed piecewise continuous collocation methods are investigated to obtain the order of convergence for the given numerical methods. Finally, some numerical experiments...
Dual integral equations involving Weber-Orr transforms.
Dual integral equations -- revisited.
Dual integral equations with Fox's H-function kernel.
Effective solutions of some dual integral equations and their applications
Integral equations of the form (2) below, dual to (1) are studied from the point of view of finding their effective solutions, the results being given in Section 1. The results are applied in Section 2 for solving nonlocal problems for the polyharmonic functions in the half plane.
Eigenschaften der Lösungsmenge eines Systems von Volterra-Integralgleichungen.
Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations
We consider systems of integral-algebraic and integro-differential equations with weakly singular kernels. Although these problem classes are not in the focus of the main stream literature, they are interesting, not only in their own right, but also because they may arise from the analysis of certain classes of differential-algebraic systems of partial differential equations. In the first part of the paper, we deal with two-dimensional integral-algebraic equations. Next, we analyze Volterra integral...
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary.
Fieldless methods for the simulation of stationary and nonstationary induction heating
First boundary value problem of electroelasticity for a transversally isotropic plane with curvilinear cuts.
Fonctionnelle quadratique et équations intégrales pour les problèmes d'onde harmonique en domaine extérieur
Fourier-like kernels as solutions of ODE's.
Fredholm-Volterra integral equation with potential kernel.