Transformation of a singular boundary-value problem on a half-line to an integral equation with a discontinuous operator
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An investigation of a boundary-value problem on a half-line for a nonlinear ordinary second order differential equation whose free term has a discontinuity in a strip. A method is proposed for the transformation of the boundary-value problem into an integral equation with a discontinuous operator. Some results have recently been obtained concerning the existence, the comparison, and integral representations of solutions of this integral equation.
KeywordsDifferential Equation Integral Equation Integral Representation Order Differential Equation Free Term
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