Search for dissertations about: "thesis on differential equation"

Showing result 16 - 20 of 232 swedish dissertations containing the words thesis on differential equation.

2. 16. Titchmarsh-Weyl M-function asymptotics and some results in the inverse spectral theory for vector-valued Sturm-Liouville equations and a certain higher order ordinary differential equation

   Author : Erik Andersson; Matematik (naturvetenskapliga fakulteten); []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Functions; differential equations; Funktioner; differentialekvationer; Paley-Wiener.; The generalized Fourier transform; A certain higher order ordinary differential equation; Borg-Marchenko theorems; Vector-valued Sturm-Liouville equations; Inverse spectral theory; Titchmarsh-Weyl M-function asymptotics; Asymptotics of solutions; Spectral measure;

   Abstract : This discourse is constituted by two separate reprots, where the first one offers an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to a vector-valued Sturm-Liouville equation of the form -(PU')'+QU=zu, xin[0,b), with P^{-1},W,Q being hermitean with locally integrable entries; and under some additional conditions on P^{-1} and W. In the special case of P=W=I, we give some further asymptotic results for the same M-function. READ MORE

4. 17. Some Results On Optimal Control for Nonlinear Descriptor Systems

   Author : Johan Sjöberg; Torkel Glad; Xiaoming Hu; Linköpings universitet; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Optimal Control; Descriptor Systems; Differential-Algebraic Systems; Controllability Function; Observability Function; Automatic control; Reglerteknik;

   Abstract : I denna avhandling studeras optimal återkopplad styrning av olinjära deskriptorsystem. Ett deskriptorsystem är en matematisk beskrivning som kan innehålla både differentialekvationer och algebraiska ekvationer. READ MORE

5. 18. On pressure-driven Hele-Shaw flow

   Author : Salvador Manjate; Peter Wall; John Fabricius; Johan Byström; Niklas Lundström; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Applied Mathematics; Tillämpad matematik;

   Abstract : The present licentiate thesis is devoted to the rigorous derivation of the equations governing thin-film flow of incompressible Newtonian and non-Newtonian fluids. More precisely, we consider flow in a generalized Hele-Shaw cell, which is a thin three-dimensional domain confined between two surfaces connected by cylindrical obstacles of various shapes. READ MORE

6. 19. PDEModelica – A High-Level Language for Modeling with Partial Differential Equations

   Author : Levon Saldamli; Peter Fritzson; Bernhard Bachmann; Francesco di Casella; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; mathematical modeling; PDEModelica; Modelica; object-oriented modeling; equation-based modeling; declarative modeling; high-level modeling languages; mathematical modeling languages; Computer science; Datavetenskap;

   Abstract : This thesis describes work on a new high-level mathematical modeling language and framework called PDEModelica for modeling with partial differential equations. It is an extension to the current Modelica modeling language for object-oriented, equation-based modeling based on differential and algebraic equations. READ MORE

7. 20. Homogenization of some problems in hydrodynamic lubrication involving rough boundaries

   Author : John Fabricius; Guy Bayada; Luleå tekniska universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; partial differential equations; calculus of variations; homogenization theory; tribology; hydrodynamic lubrication; thin film flows; Reynolds equation; surface roughness; Weyl decomposition; Matematik; Mathematics; Matematik;

   Abstract : This thesis is devoted to the study of some homogenization problems with applications in lubrication theory. It consists of an introduction, five research papers (I–V) and a complementary appendix.Homogenization is a mathematical theory for studying differential equations with rapidly oscillating coefficients. READ MORE