Robert F. Gordon, Edward A. MacNair, et al.
WSC 1985
In this paper we study discretizations of the general pantograph equation y’(t) = ay(t) + by(θ(t)) + cy’(∅(t)) , t≥0, y(0)=y0where a , b , c , and y0are complex numbers and where θ and ∅ a re strictly increasing functions on the nonnegative reals with θ(0) = ∅(0) = 0 and θ(t) < t, ∅(t)< t for positive t. Our purpose is an analysis of the stability of the numerical solution with trapezoidal rule discretizations, and we will identify conditions on a , b , c and the stepsize which imply that the solution sequence ynn=0∞’s DOunded or that it tends to zero algebraically, as a negative power of n. © 1993 American Mathematical Society.
Robert F. Gordon, Edward A. MacNair, et al.
WSC 1985
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SPIE Photomask Technology + EUV Lithography 2011
Igor Devetak, Andreas Winter
ISIT 2003
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Linear Algebra and Its Applications