On Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients
А. Л. Скубачевский, Н. О. Иванов
Abstract
We consider the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval (0,d). We investigate the existence of a generalized solution and obtain conditions on the right-hand side of the equation which ensure the smoothness of generalized solutions on the entire interval (0,d).
Topics & Concepts
MathematicsVariable (mathematics)Boundary value problemSmoothnessMathematical analysisInterval (graph theory)Differential equationValue (mathematics)Applied mathematicsStatisticsCombinatoricsDifferential Equations and Boundary ProblemsDifferential Equations and Numerical Methodsadvanced mathematical theories