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On a Certain Volterra-Fredholm Type Integral Equation
Volterra-Fredholm type integral equation Banach fixed point theorem integral inequality Bielecki type norm existence and uniqueness continuous dependence
2010/1/22
The aim of this paper is to study the existence, uniqueness and other properties of solutions of a certain Volterra-Fredholm type integral equation. The main tools employed in the analysis are based o...
Positive and Nontrivial Solutions for the Urysohn Integral Equation
Urysohn integral equation positive solutions eigenvalues
2007/12/12
We establish new criteria for the existence of either positive or nonzero solutions of the Urysohn integral equation. We also discuss the existence of an interval of positive eigenvalues and sufficien...
Mixed Type of Integral Equation with Potential Kernel
Fredholm integral equations Potential kernel Legendre and Jacobi polynomials Weber-Sonien integral
2010/2/25
This paper presents the solution of an integral equation of a mixed type in three-dimensions in the space L2 (W) \times C[0,T], where T < \infty, and W is the domain of integration with respect to pos...