The small parameter and differential equations with piecewise constant argument

Date

2011-01-01

Author

Akhmet, Marat

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

41
views

0
downloads

URI

https://hdl.handle.net/11511/99344

Journal

NONLINEAR HYBRID CONTINUOUS/DISCRETE-TIME MODELS

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

The prolongations structures of nonlinear evolution equations Yurduşen, İsmet; Karasu, Ayşe; Department of Physics (1999)
The discrete harmonic oscillator, Harper's equation, and the discrete fractional Fourier transform BARKER, L; Candan, Çağatay; HAKIOGLU, T; KUTAY, MA; OZAKTAS, HM (IOP Publishing, 2000-03-24) Certain solutions to Harper's equation are discrete analogues of (and approximations to) the Hermite-Gaussian functions. They are the energy eigenfunctions of a-discrete algebraic analogue of the harmonic oscillator, and they lead to a definition of a discrete fractional Fourier transform (FT). The discrete fractional FT is essentially the time-evolution operator of the discrete harmonic oscillator.
The differential equations on time scales through impulsive differential equations Akhmet, Marat (2006-12-01) In this paper we investigate differential equations on certain time scales with transition conditions (DETC) on the basis of reduction to the impulsive differential equations (IDE). DETC are in some sense more general than dynamic equations on time scales [M. Bohner, A. Peterson, Dynamic equations on time scales, in: An Introduction With Applications, Birkhauser Boston, Inc., Boston, MA, 2001, p. x+358; V. Laksmikantham, S. Sivasundaram, B. Kaymakcalan, Dynamical Systems on Measure Chains, in: Math. and its...
THE GENERALIZED H-LATTICE FILTER AND ESTIMATION OF THE ARMA MODELS YARMANVURAL, F; WAWRZYNSKI, D; CETIN, AE (1989-01-01) A class of lattice filters, the generalized H-lattice filters is introduced. The generalized H-lattice filters can represent the autoregressive moving-average (ARMA) models and they can be used for the modeling and analysis of the ARMA stochastic process.
The path integral quantization and the construction of the S-matrix operator in the Abelian and non-Abelian Chern-Simons theories Fainberg, VY; Pak, Namık Kemal; Shikakhwa, MS (IOP Publishing, 1997-06-07) The covariant path integral quantization of the theory of the scalar and spinor fields interacting through the Abelian and non-Abelian Chern-Simons gauge fields in 2 + 1 dimensions is carried out using the De Witt-Fadeev-Popov method. The mathematical ill-definiteness of the path integral of theories with pure Chern-Simons' fields is remedied by the introduction of the Maxwell or Maxwell-type (in the non-Abelian case) terms, which make the resulting theories super-renormalizable and guarantees their gauge-i...

Citation Formats

M. Akhmet, “The small parameter and differential equations with piecewise constant argument,” NONLINEAR HYBRID CONTINUOUS/DISCRETE-TIME MODELS, vol. 8, pp. 49–69, 2011, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/99344.