Recursos de colección

Project Euclid (Hosted at Cornell University Library) (203.209 recursos)

Abstract and Applied Analysis

1. Optimal Rational Approximations by the Modified Fourier Basis

Poghosyan, Arnak V.; Bakaryan, Tigran K.
We consider convergence acceleration of the modified Fourier expansions by rational trigonometric corrections which lead to modified-trigonometric-rational approximations. The rational corrections contain some unknown parameters and determination of their optimal values for improved pointwise convergence is the main goal of this paper. The goal was accomplished by deriving the exact constants of the asymptotic errors of the approximations with further elimination of the corresponding main terms by appropriate selection of those parameters. Numerical experiments outline the convergence improvement of the optimal rational approximations compared to the expansions by the modified Fourier basis.

2. On Solvability Theorems of Second-Order Ordinary Differential Equations with Delay

Yeh, Nai-Sher

17. Corrigendum to “A Three-Point Boundary Value Problem with an Integral Condition for a Third-Order Partial Differential Equation”

Latrous, C.; Memou, A.

18. Corrigendum to “A Three-Point Boundary Value Problem with an Integral Condition for a Third-Order Partial Differential Equation”

Latrous, C.; Memou, A.

19. On the Output Controllability of Positive Discrete Linear Delay Systems

Naim, Mouhcine; Lahmidi, Fouad; Namir, Abdelwahed; Rachik, Mostafa
Necessary and sufficient conditions for output reachability and null output controllability of positive linear discrete systems with delays in state, input, and output are established. It is also shown that output reachability and null output controllability together imply output controllability.

20. On the Output Controllability of Positive Discrete Linear Delay Systems

Naim, Mouhcine; Lahmidi, Fouad; Namir, Abdelwahed; Rachik, Mostafa
Necessary and sufficient conditions for output reachability and null output controllability of positive linear discrete systems with delays in state, input, and output are established. It is also shown that output reachability and null output controllability together imply output controllability.

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