Iterated defect correction methods for semi-explicit differential-algebraic equations

Download
1990
Somalı(Uzuner), Şennur

Suggestions

Stochastic delay differential equations
Aladağlı, E. Ezgi; Yolcu Okur, Yeliz; Vardar Acar, Ceren; Department of Financial Mathematics (2017)
In many areas of science like physics, ecology, biology, economics, engineering, financial mathematics etc. phenomenas do not show their effect immediately at the moment of their occurrence. Generally, they influence the future states. In order to understand the structure and quantitative behavior of such systems, stochastic delay differential equations (SDDEs) are constructed while inserting the information that are obtained from the past phenomena into the stochastic differential equations (SDEs). SDDEs b...
Nonautonomous transcritical and pitchfork bifurcations in impulsive/hybrid systems
Kashkynbayev, Ardak; Akhmet, Marat; Department of Mathematics (2016)
The main purpose of this thesis is to study nonautonomous transcritical and pitchfork bifurcations in continuous and discontinuous dynamical systems. Two classes of discontinuity, impulsive differential equations and differential equations with an alternating piecewise constant argument of generalized type, are addressed. Moreover, the Bernoulli equation in impulsive as well as hybrid systems is introduced. For the former one, the corresponding jump equation is chosen so that after Bernoulli transformation ...
Oscillation of second order matrix equations on time scales
Selçuk, Aysun; Ağacık, Zafer; Department of Mathematics (2004)
The theory of time scales is introduced by Stefan Hilger in his PhD thesis in 1998 in order to unify continuous and discrete analysis. In our thesis, by making use of the time scale calculus we study the oscillation of nonlinear matrix differential equations of second order. the first chapter is introductory in nature and contains some basic definitions and tools of the time scales calculus, while certain well-known results have been presented with regard to oscillation of the solutions of second order matr...
Oscillation of second order dynamic equations on time scales
Kütahyalıoğlu, Ayşen; Ağacık, Zafer; Department of Mathematics (2004)
During the last decade, the use of time scales as a means of unifying and extending results about various types of dynamic equations has proven to be both prolific and fruitful. Many classical results from the theories of differential and difference equations have time scale analogues. In this thesis we derive new oscillation criteria for second order dynamic equations on time scales.
Discontinuous dynamics with grazing points
Kıvılcım, Ayşegül; Akhmet, Marat; Department of Mathematics (2016)
The scope of this thesis is to investigate the periodic solutions of impulsive systems with grazing and modeling through differential equations with impulses. By means of differential equations with impacts, the system which is modeled through two distinct differential equations is taken into account and such models are named as models with impact deformations. The surfaces as well as the coefficient of restitution are determined to be dependent on the impact velocity. The simulations are obtained for the r...
Citation Formats
Ş. Somalı(Uzuner), “Iterated defect correction methods for semi-explicit differential-algebraic equations,” Ph.D. - Doctoral Program, Middle East Technical University, 1990.