Mathematical Sciences Dissertations
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includes dissertations from the Belfer Graduate School of Science.
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Gravitational and electrostatic potential fields and dynamics of nonspherical systems
(202007)This thesis is devoted to several aspects of the nbody problem in the context of two models of interest: the gravitational nbody problem and the electrostatic nbody problem. In the case of gravitational nbody problem, ... 
Qualitative Properties for Positive Solutions of Nonlocal Equations
(, 20200528)This thesis is devoted to the study of properties for nonnegative solutions to nonlocal problems and integral equations. The main tools we use are the method of moving planes and the method of moving spheres.__________ ... 
Classical mechanics over fields of characteristic p greater than 0
(ProQuest Dissertations & Theses, 1986)A formulation of the algebraic structures of a classical mechanics over fields of characteristic p {dollar}>{dollar} 0 is presented. It is shown how a definition of an abstract mechanics, which is a composition class of ... 
THE SCATTERING THEORY OF THE KLEINGORDON EQUATION IN TWO HILBERT SPACES WITH GENERAL AND OSCILLATING POTENTIALS
(ProQuest Dissertations & Theses, 1984)This dissertation considers three problems associated with the KleinGordon Equation: (a) The conditions for the operator to be selfadjoint; (b) The existence of the wave operator; and (c) The completeness of the wave ... 
THE SPECTRA OF THE SCHROEDINGER OPERATOR
(ProQuest Dissertations & Theses, 1984)We look at the Schrodinger operator H=(DELTA)+q(x) where (DELTA) is the Laplacian and q(x)(epsilon)R('n). We give sufficient conditions for the spectrum of H to contain the interval of the form {lcub}a,(INFIN)) and ... 
EXISTENCE AND COMPLETENESS OF WAVE OPERATORS IN TWO HILBERT SPACES
(ProQuest Dissertations & Theses, 1984)In this thesis we consider an unperturbed selfadjoint operator H(,0) on a Hilbert space H(,0), the operators A, B mapping H(,0) to the Hilbert space K, and J a bounded linear operator mapping the Hilbert space H(,0) to ... 
DIFFERENCE EQUATION METHODS FOR SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
(ProQuest Dissertations & Theses, 1982)Difference equation techniques are applied to determine sufficient conditions on polynomials P(x,y) for which the Fischer space related differential equation.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;has (a) ... 
THE INVARIANCE PRINCIPLE AND ASYMPTOTIC COMPLETENESS FOR A QUANTUM MECHANICAL SYSTEM
(ProQuest Dissertations & Theses, 1982)We study operators H and H(,0) acting on the Hilbert Space L('2)(R). The free or unperturbed operator H(,0) is the multiplication (also known as the position) operator x. We consider H = H(,0) + A, where the perturbation ... 
TWO PARALLEL QUEUES CREATED BY ARRIVALS WITH TWO DEMANDS
(ProQuest Dissertations & Theses, 1982)In this thesis we consider the system of two unbounded single server queues in which a customer upon arrival joins both queues. The arrivals are assumed to form a Poisson process with mean interarrival time 1 and the servers ... 
ERGODIC PROPERTIES OF A PARTICLE IN CONTACT WITH A HEAT BATH
(ProQuest Dissertations & Theses, 1980)We study the ergodic properties of a system of point particles on the semiinfinite line. The particles evolve under a dynamics where the only interaction is between the first particle and each of the other particles through ... 
WISHART EXPECTATION OPERATORS AND INVARIANT DIFFERENTIAL OPERATORS
(ProQuest Dissertations & Theses, 1980)Let E(,n) denote the expectation operator of the Wishart distribution W(k,n,(SUMM)) and let E(,n)('t) denote the "conditional" expectation operator defined by.;(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI).;where ... 
A COVARIANT FRAMEWORK FOR MASS MONOPOLE IN GENERAL RELATIVITY
(ProQuest Dissertations & Theses, 1979) 
THE FOURIER ANALYSIS THEORY OF UNSOLVABILITY IN PARTIAL DIFFERENTIAL EQUATIONS
(ProQuest Dissertations & Theses, 1979) 
COMPUTER SIMULATION STUDIES OF BINARY ALLOYS
(ProQuest Dissertations & Theses, 1978) 
DIELECTRIC AND PYROELECTRIC PROPERTIES OF FERROELECTRICS
(ProQuest Dissertations & Theses, 1978) 
PINCHED RELATIVISTIC ELECTRON BEAMS AND COLLECTIVE ACCELERATION OF IONS
(ProQuest Dissertations & Theses, 1979) 
STABILITY IN A RANDOM ENVIRONMENT
(ProQuest Dissertations & Theses, 1979) 
THE REPRESENTATION RING OF SOME FINITE SIMPLE GROUPS
(ProQuest Dissertations & Theses, 1979) 
PHASE TRANSITIONS IN THREECOMPONENT FLUID SYSTEMS
(ProQuest Dissertations & Theses, 1978) 
INTERPRETATION OF MOLECULAR ABSORPTION IN THE ATMOSPHERE OF JUPITER
(ProQuest Dissertations & Theses, 1978)