In this paper, we present a new approach to resolve linear and nonlinear weakly-singular Volterra integro-differential equations of firstor second-order by first removing the singularity usingâ€¦ (More)

A new approach is presented to resolve Cauchy integral equations of the first kind in the general case by first considering a regularized integral equation and then transforming it into a canonicalâ€¦ (More)

We propose a direct method for solving the general Riccati equation y' = f(x) + g(x)y + h(x)y(2). We first reduce it into an equivalent equation, and then we formulate the relations between theâ€¦ (More)

In this note, we consider a boundary value problem for a second-order nonlinear equation: d2 y dx2 = Î»(x)eÎ¼(x)y , y(0) = y(1) = 0, where Î¼(x) > 0 and Î»(x) are two functions satisfying certainâ€¦ (More)