KANSAS UNIV LAWRENCE DEPT OF MATHEMATICSOverview
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Most widely held works by
KANSAS UNIV LAWRENCE DEPT OF MATHEMATICS
Differential operators on riemannian manifolds
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Book
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1 edition published in 1952 in English and held by 2 libraries worldwide
Stochastic Filtering and Control
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Book
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2 editions published between 1977 and 1979 in English and held by 1 library worldwide The topology of the space of minimal transfer functions has been studied with particular emphasis on symmetric transfer functions and a number of important new results have been obtained. Understanding the topology of the space of transfer functions is important in the development of identification algorithms and symmetric transfer functions arise in the description of many physical systems. The problem of state space realization of transfer functions for systems with delays has also been studied and useful results have been obtained. The problems of deterministic control, stochastic filtering and stochastic control have been studied for linear pure delay time systems. A geometric approach has been used which has simplified previous results and has obtained new results. In addition, preliminary investigations of some other related research areas has commenced. (Author).
Some results of existence and uniqueness for nonlinear partial differential equations and remarks on the approximation of some nonlinear elliptic equations
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Book
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1 edition published in 1968 in English and held by 1 library worldwide
Theory of bessel potentials. part iii. potentials on regular manifolds
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Book
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1 edition published in 1968 in English and held by 1 library worldwide The present part of the 'Theory of Bessel Potentials' contains Chapter 4 dealing with potentials on regular Riemannian manifolds. (Author).
Rate of convergence in singular perturbations
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Book
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1 edition published in 1967 in English and held by 1 library worldwide The paper obtains rate of convergence estimates for solutions of singular perturbations of linear elliptic boundary value problems. The problem can be described as follows. Let D be a domain in R superscript n and let epsilon be a positive real parameter. Consider two boundary value problems on D, (epsilon U + B) w subscript epsilon = f, Bu = f, where U and B are elliptic differential operators with the order of U greater than the order of B. The problem is to determine in what sense w subscript epsilon converges to u on D as epsilon drops to 0 and to estimate the rate of convergence. This problem is investigated in the present work with the L superscript 2 theory of elliptic partial differential problems.
ALGEBRAIC SPECTRAL PROBLEMS
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Book
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1 edition published in 1967 in English and held by 1 library worldwide Contents: Preliminary definitions; Finite dimensional indecomposable systems. Chains; Spectral subsystems. Correcting transformations; Indecomposable systems of finite dimension; Quasi-spectral subsystems; Bases for finite dimensional spectral indecomposable subsystems; Divisible systems; Certain isomorphism types of divisible systems; Eigenvalue systems. Structure of divisible systems. Reduction.
On non-linear ordinary and evolution equations
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Book
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1 edition published in 1966 in English and held by 1 library worldwide  Related IdentitiesAssociated Subjects
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