Vygotskian Sociocultural Theory of Learning

2018-01-01

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LYAPUNOV-RAZUMIKHIN METHOD FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
Akhmet, Marat (2009-10-01)
At the first time, Razumikhin technique is applied for differential equations with piecewise constant argument of generalized type [1, 2]. Sufficient conditions are established for stability, uniform stability and uniform asymptotic stability of the trivial solution of such equations. We also provide appropriate examples to illustrate our results.
LYAPUNOV-TYPE INEQUALITIES FOR PLANAR LINEAR DYNAMIC HAMILTONIAN SYSTEMS
Bohner, Martin; Zafer, Ağacık (National Library of Serbia, 2013-04-01)
We give new Lyapunov-type inequalities for linear Hamiltonian systems on arbitrary time scales, which improve recently published results and hence all the related ones in the literature. As an application, we obtain new diconjugacy criteria for linear Hamiltonian systems.
Lyapunov based nonlinear impact angle guidance law for stationary targets
Ateş, Hakkı Ulaş; Kutay, Ali Türker; Erer, Koray Savaş; Department of Aerospace Engineering (2015)
In modern guidance law designs, not only capturing but also considering a terminal impact angle while intercepting a target has become an increasingly important neccessity in modern guided systems. For several applications such as missiles systems, space explorations or aircraft docking, approaching the target with a specific impact angle is vital requirement for efficiency of the system. To achieve this requirement, a novel Lyapunov based nonlinear impact angle control guidance law for stationary targets i...
Lyapunov-type inequalities for nonlinear impulsive systems with applications
Kayar, Zeynep; Zafer, Agacik (University of Szeged, 2016)
We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions and the boundedness of weakly oscillatory solutions.
Lyapunov type inequalities and their applications for linear and nonlinear systems under impulse effect
Kayar, Zeynep; Ağacık, Zafer; Department of Mathematics (2014)
In this thesis, Lyapunov type inequalities and their applications for impulsive systems of linear/nonlinear differential equations are studied. Since systems under impulse effect are one of the fundamental problems in most branches of applied mathematics, science and technology, investigation of their theory has developed rapidly in the last three decades. In addition, Lyapunov type inequalities have become a popular research area in recent years due to the fact that they provide not only better understandi...
Citation Formats
S. Balbay, Vygotskian Sociocultural Theory of Learning. 2018, p. 72.