Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 51 for “"asymptotic behaviour"”.
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Asymptotic Behaviour and Derivation of Mean Field Models
… thesis studies various problems related to the asymptotic behaviour and derivation of mean field models from systems of many particles. Chapter 1 introduces mean field models and their derivation, and then summarises the following chapters of this thesis. Chapters 2, 3 and 4 directly study …
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On Compound Variables and the Asymptotic Behaviour of Their Tails
… a compound variable. We study both the average behaviour as well as the tail behaviour of compound variables. Before delving into the results concerning the tails of compound variables, we aim to present an overview about the general theory and treat the average behaviour of compound variables …
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The Asymptotic Behaviour of the Riemann Mapping Function at Analytic Cusps
… geometric function theory is to investigate the behaviour of the mapping functions at the boundary of such domains. In this work, we always assume that a piecewise analytic boundary is given. Hereby, we have to distinguish regular and singular boundary points. While the asymptotic behaviour for …
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On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations
… systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations. The type of stability that has been established for this class of equations is important in a variety of real-world problems which involve feedback from the past, and are subject to …
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Mathematical Studies on the Asymptotic Behaviour of Gravitational Radiation in General Relativity
… the long-standing question of how to model the asymptotic behaviour of gravitational radiation in astrophysical processes within the theory of general relativity. It is argued that the correct mathematical setup to address this question is the *scattering problem* (as opposed to the Cauchy …
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On models of Kirchhoff Equations with damping terms: existence results and asymptotic behaviour of solutions
The abstract will be viewed from the PDF to distortion Mathematical Formulas.
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Hamiltonian Flow Equations and the Electron-Phonon-Problem
… from zero to infinity. We give a proof that the asymptotic behaviour of the flow of the one-particle energies for large l is given by a constnat over squareroot of l behaviour. The constant may contain terms logarithmic in l and depends on electronic momentum k. This result is used to show that …
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ΑΣΥΜΠΤΩΤΙΚΗ ΜΕΤΑΒΛΗΤΟΤΗΤΑ ΣΕ ΜΗ ΟΜΟΓΕΝΗ ΜΑΡΚΟΒΙΑΝΑ ΣΥΣΤΗΜΑΤΑ- ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ ΠΙΝΑΚΩΝ ΜΕ ΑΘΡΟΙΣΜΑ ΣΤΟΙΧΕΙΩΝ ΚΑΘΕ ΓΡΑΜΜΗΣ 1
WE EXAMINED THE ASYMPTOTIC BEHAVIOUR OF THE RECTOR M(T) OF MEANS, VARIANCES ANDCOVARIANCES IN NON-HOMOGENEOUS MARKOV SYSTEMS (NHMS) IN THE MOST GENERAL CASE - WHEN THE AUGMENTED MATRIX OF THE SYSTEM IS PERIODIC - AND AS A SPECIAL CASE THE ASYMPTOTIC BEHAVIOUR IN THE HOMOGENEOUS MARKOV SYSTEMS …
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Singular behaviour and long time behaviour of mean curvature flow
In this thesis, we investigate two asymptotic behaviours of the mean curvature flow. The first one is the asymptotic behaviour of singularities of the mean curvature flow, and the asymptotic limit is modelled by the tangent flows. The second one is the asymptotic behaviour of the mean curvature …
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The asymptotic and oscillatory behaviour of difference and differential equations
This thesis deals with the asymptotic and oscillatory behaviour of the solutions of certain differential and difference equations. It mainly consists of three parts. The first part is to study the asymptotic behaviour of certain differential equations. The second part is to look for oscillatory …
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Island nucleation and growth during submonolayer deposition
… mathematical techniques to obtain results on the asymptotic behaviour of the point island size distribution. A fragmentation theory approach is also used in a one-dimensional model to obtain information on the asymptotic behaviour of the distribution of gaps between islands, the latter being …
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Properties and Behaviours of Fuzzy Cellular Automata
… cellular automata and show that homogeneous asymptotic states are equivalent to mean field approximations of Boolean cellular automata. We then turn our attention the asymptotic behaviour of fuzzy cellular automata. In the second half of the thesis we investigate the observed behaviours of …
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The discrete coagulation-fragmentation system
… such as positivity, mass conservation and asymptotic behaviour. A main aim of this thesis is to relax the assumptions that have previously been required, when using a semigroupapproach, to obtain the existence and uniqueness of physically relevant solutions.Moreover, we consider the case …
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Dissipative Quantum Systems and Flow Equations
… Furthermore, observations on universal asymptotic behaviour are discussed. The remaining chapter investigates quantum Brownian motion in a periodic potential with broken reflection symmetry - employing the previous procedures. In this context we also include results for the …
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Piecewise smooth systems and monotonicity.
… how monotonicity can be used to determine the asymptotic behaviour of positive LTI systems. We also discuss issues which arise in the study of piecewise smooth and switched linear systems and review solution concepts for such systems. In Chapter 5, we extend the Kamke conditions for smooth …
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ΕΛΕΓΧΟΣ ΤΗΣ ΑΣΥΜΠΤΩΤΙΚΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΜΗ ΟΜΟΓΕΝΩΝ ΜΑΡΚΟΒΙΑΝΩΝ ΣΥΣΤΗΜΑΤΩΝ
IN THIS THESIS WE ARE CONCERN IN THE ASYMPTOTIC BEHAVIOUR OF NON HOMOGENEOUS MARKOV SYSTEMS. VARIOUS TYPES OF MODELS ARE DEVELOPED . THESE MODELS ARE USED IN ORDER TO EXPLORE THE BEHAVIOUR OF MANPOWER SYSTEMS WHOSE POPULATION IS STRATIFIED INTO CLASSES. SUITABLE MANIPULATION OF THESE MODELS MAKES …
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On the pathwise large deviations of stochatic differential and functional differential equations with applications to finance
The thesis deals with the asymptotic behaviour of highly nonlinear stochastic differential equations, as well as linear and nonlinear functional differential equations. Both ordinary functional and neutral equations are analysed. In the first chapter, a class of nonlinear stochastic differential …
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Counting and Averaging Problems in Graph Theory
… in the chosen conjugacy class, and describe the asymptotic behaviour of this number as the size of the ball goes to infinity. In this thesis, we use a well-known analogy between the hyperbolic plane and the regular tree to solve the above problems, and some related ones, on a tree. We deal mainly …
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Explosions and unbounded growth in nonlinear delay differential equations: Numerical and asymptotic analysis
This thesis investigates the asymptotic behaviour of a scalar, nonlinear dierential equation with a fixed delay, and examines whether the properties of this equation can be replicated by an appropriate discretisation. We begin by considering equations for which the solution explodes in finite time. …
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