Search for dissertations about: "Renewal equation"
Showing result 1 - 5 of 7 swedish dissertations containing the words Renewal equation.
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1. Perturbed Renewal Equations with Non-Polynomial Perturbations
Abstract : This thesis deals with a model of nonlinearly perturbed continuous-time renewal equation with nonpolynomial perturbations. The characteristics, namely the defect and moments, of the distribution function generating the renewal equation are assumed to have expansions with respect to a non-polynomial asymptotic scale: $\{\varphi_{\nn} (\varepsilon) =\varepsilon^{\nn \cdot \w}, \nn \in \mathbf{N}_0^k\}$ as $\varepsilon \to 0$, where $\mathbf{N}_0$ is the set of non-negative integers, $\mathbf{N}_0^k \equiv \mathbf{N}_0 \times \cdots \times \mathbf{N}_0, 1\leq k . READ MORE
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2. Nonlinearly Perturbed Renewal Equations : asymptotic Results and Applications
Abstract : In this thesis we investigate a model of nonlinearly perturbed continuous-time renewal equation. Some characteristics of the renewal equation are assumed to have non-polynomial perturbations, more specifically they can be expanded with respect to a non-polynomial asymptotic scale. READ MORE
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3. Asymptotic Expansions for Perturbed Discrete Time Renewal Equations
Abstract : In this thesis we study the asymptotic behaviour of the solution of a discrete time renewal equation depending on a small perturbation parameter. In particular, we construct asymptotic expansions for the solution of the renewal equation and related quantities. READ MORE
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4. Perturbed discrete time stochastic models
Abstract : In this thesis, nonlinearly perturbed stochastic models in discrete time are considered. We give algorithms for construction of asymptotic expansions with respect to the perturbation parameter for various quantities of interest. READ MORE
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5. Analysis of cardiac cell turnover in humans by radiocarbon dating and mathematical modeling
Abstract : Cardiovascular disease is the largest cause of morbidity and mortality in the Western World. Disease progression often involves a loss of contracting cells, cardiomyocytes, which leads to cardiac failure and the need for heart transplantation with time. READ MORE