Boundary Value Problem for Third Order Partial Integro-Differential Equation with a Degenerate Kernel
T. K. Yuldashev, Yu. P. Apakov, A. Kh. Zhuraev
Abstract
In this paper, we consider the questions of the unique solvability of a boundary value problem for a third-order partial integro-differential equation with a degenerate kernel and multiple characteristics. An explicit solution of the boundary value problem is constructed. In this case, a combination of three methods was used: the method for constructing Green’s function, the method of Fourier series and the Fredholm method for the degenerate kernel.
Topics & Concepts
MathematicsKernel (algebra)Degenerate energy levelsFredholm integral equationBoundary value problemMathematical analysisPartial differential equationFourier seriesOrder (exchange)Applied mathematicsOrdinary differential equationDifferential equationIntegral equationPure mathematicsEconomicsQuantum mechanicsFinancePhysicsDifferential Equations and Boundary ProblemsDifferential Equations and Numerical MethodsAlgebraic and Geometric Analysis