Some triple integral equations

Some Integral Equations with Nonsymmetric Separable Kernels*

Absbact. It is shown that the eigeovalues and eigenfunctions for the class of "separable" or "semidegenerate" kernels can be determined from the solution of a linear differential equation, which is usually more amenable to machine solution. The theory is extended to solve a simultaneous diagonalization problem for two separable kernels. Finally, some new connections are obtained between Riccati...

Some Problems in Nonlinear Volterra Integral Equations

Upper and lower bounds for the norm of solutions of systems of first order differential equations as well as theorems on global existence and boundedness and other useful results have recently been obtained by comparing solutions of the given system with those of a related (single) first order differential equation. This technique, which is essentially due to Conti [5] and Wintner [9], has been...

On Monotonic Solutions of Some Integral Equations

Integral equations arise naturally in applications of real world problems [5, 6, 7, 8]. The theory of integral equations has been well developed with the help of various tools from functional analysis, topology and fixed-point theory. The classical theory of integral equations can be generalized if one uses the Stieltjes integral with kernels dependent on one or two variables. The aim of this p...

Solutions of Some Dual Integral Equations

For certain dual integral equations involving trigonometric functions and the Bessel function of zeroth order as their kernels solution methods are described. These methods exploit the fact that, under certain circumstances of practical importance, one of the integrals of each set of the dual integral equations under consideration possesses a asquare-rooto singularity at the aturning pointo, i....

The Study of Triple Integral Equations with Generalized Legendre Functions