«systems of integral equations»
۲۱٬۳۳۴ نتیجهAn efficient technique for solving systems of integral equations
In this paper, the wavelet method based on the Chebyshev polynomials of the second kind is introduced and used to solve systems of integral equations. Operational matrices of integration, product, and derivative are obtained for the second kind Chebyshev wavelets which will be us
On a new integral type contraction and coupled fixed point theorems in metric spaces with applications to system of integral equations
This paper introduces a new type of integral contraction in metric spaces and establish coupled fixed point theorems under this new contraction condition. The presented results generalize and extend several existing theorems in the literature, particularly those involving integra
Approximate Solution of Magnetic Boundary Value Problems in Geometrically Complex Domains Using the Method of Integral Equation Systems
This paper provides a rigorous theoretical justification for the collocation method applied to a system of integral equations arising in magnetic boundary value problems governed by the vector Helmholtz equation. At appropriately selected collocation points, the system of integra
existence of solutions of infinite systems of integral equations in the frechet spaces
in this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the fr´echet spaces. our aim is to provide a few generalization of tychonoff fixed point theorem and prove the existence of solutions for infinite systems
Existence of solutions of infinite systems of integral equations in the Frechet spaces
In this paper we apply the technique of measures of noncompactness to the theory of infinite system of integral equations in the Fr´echet spaces. Our aim is to provide a few generalization of Tychonoff fixed point theorem and prove the existence of solutions for infinite systems
Existence of Solutions for a System of Integral Equations via Measure of Noncompactness
Using the techniques of measures of noncompactness and Darbo fixed point theorem, we present some existence results for solutions of systems of nonlinear equations in Banach spaces. Also, as an application, we discuss the existence of solutions for a general system of nonlinear f
Expansion Problems Associated with a System of Integral Equations* By
may be reduced to a single linear integral equation whose kernel is defined on a^x^a+n(b — a), a^s^a+n(b — a). Greggi§ considered a system of the form (1) and by use of the transformation introduced by Fredholm showed the form of the resolvent matrix for the system; for the symme
Comparison Projection Method with Adomian’s Decomposition Method for Solving System of Integral Equations
Abstract: System of integral equations has been solved in many papers, especially, system of integral equations with degenerate kernels has been solved with Adomian’s decomposition method by some authors. In present paper, we try to solve system of integral equations by using col
Symmetry of Solutions to Some Systems of Integral Equations
In this paper, we study some systems of integral equations, including those related to Hardy-Littlewood-Sobolev (HLS) inequalities. We prove that, under some integrability conditions, the positive regular solutions to the systems are radially symmetric and monotone about some poi
A generalization of Darbo's theorem with application to the solvability of systems of integral equations
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