On the solution of an eigenvalue equation of the Wiener-Hopf type in finite and infinite ranges
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The purpose of the paper is to present a formulation of the eigenvalue matrix equation of the Wiener-Hopf integral equation defined in finite and infinite ranges. The method provides a simple means for obtaining the eigenvalue equation and indicates a way for obtaining the eigenfunctions and the eigenvalue. The important contribution of the paper is the direct rather than the transform method of solution. Such a formulation is also helpful in the solution of inhomogeneous Wiener-Hopf equations in finite and infinite ranges.
KeywordsEigenvalue Problem Eigenvalue Equation Transcendental Equation Determinantal Equation Function Range
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