WorldCat Identities

Nohel, John A.

Overview
Works: 57 works in 286 publications in 1 language and 3,411 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Author, Contributor
Classifications: QA372, 517.382
Publication Timeline
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Most widely held works by John A Nohel
The qualitative theory of ordinary differential equations; an introduction by Fred Brauer( Book )

32 editions published between 1967 and 2012 in English and held by 672 WorldCat member libraries worldwide

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Major focus on stability theory and its applications to oscillation phenomena, self-excited oscillations and regulator problem of Lurie
Linear mathematics; an introduction to linear algebra and linear differential equations by Fred Brauer( Book )

12 editions published in 1970 in English and Undetermined and held by 395 WorldCat member libraries worldwide

Advances in differential and integral equations; a collection of papers by John A Nohel( Book )

21 editions published in 1969 in English and held by 248 WorldCat member libraries worldwide

Elementary differential equations: principles, problems, and solutions by Fred Brauer( Book )

7 editions published in 1968 in English and held by 230 WorldCat member libraries worldwide

Mathematical problems in viscoelasticity by Michael Renardy( Book )

10 editions published in 1987 in English and held by 219 WorldCat member libraries worldwide

Viscoelasticity and rheology by Arthur S Lodge( Book )

10 editions published between 1985 and 2014 in English and held by 213 WorldCat member libraries worldwide

Introduction to differential equations with applications by Fred Brauer( Book )

8 editions published in 1986 in English and held by 152 WorldCat member libraries worldwide

Selected papers of Norman Levinson by Norman Levinson( Book )

8 editions published in 1998 in English and held by 107 WorldCat member libraries worldwide

Selected papers of Norman Levinson by Norman Levinson( Book )

7 editions published between 1998 and 2000 in English and Undetermined and held by 10 WorldCat member libraries worldwide

Asymptotic properties of solutions of nonlinear abstract volterra equations by Philippe Clément( Book )

6 editions published between 1980 and 1981 in English and held by 8 WorldCat member libraries worldwide

The purpose of this paper is to develop a general theory which gives sufficient conditions in terms of the kernel b, the operator A, and the forcing term f for the solution u of (V) to be bounded on t greater than or = 0 but less than infinity and which further assures that the solution u tends to a limit u sub infinity as t approaches infinity; under certain conditions u sub infinity = 0, under others u sub infinity is the unique solution of an appropriate 'limit equation' associated with (V). As one special case of this theory we give a complete analysis of the boundedness and asymptotic properties of the solution of the above heat flow problem, under physically reasonable assumptions concerning the relaxation functions, the nonlinear operator, the initial temperature distribution, and the external heat supply
Selected papers of Norman Levinson by Norman Levinson( Book )

6 editions published between 1998 and 2000 in English and Undetermined and held by 7 WorldCat member libraries worldwide

Nonlinear volterra equations for heat flow in materials with memory by John A Nohel( Book )

5 editions published between 1980 and 1981 in English and held by 7 WorldCat member libraries worldwide

Consider the nonlinear Volterra equation u(t) + (b*Au) not an element of f(t). This paper discusses existing and recent results for the following problems concerning this equation the global existence and uniqueness of solutions and their continuous dependence on the data; the boundedness and asymptotic behavior as t approaches infinity in th special cases when X = H is a real Hilbert space and A is either a maximal monotone operator on H or A is a subdifferential of a proper, convex, lower semicontinuous function; and the existence, boundedness, and asymptotic behavior of positive solutions in the general settting. The theory is used to study one possible model problem for heat flow in a material with 'memory' which can be transformed to the equivalent from of the equation under physically reasonable assumptions; the latter provide a motivation for the natural setting of much of the theory developed here
A nonlinear hyperbolic volterra equation in viscoelasticity by C. M Dafermos( Book )

4 editions published in 1980 in English and held by 6 WorldCat member libraries worldwide

A general model for the nonlinear motion of a one dimensional, finite, homogeneous, viscoelastic body is developed and analysed by an energy method. It is shown that under physically reasonable conditions the nonlinear boundary, initial value problem has a unique, smooth solution (global in time), provided the given data are sufficiently 'small' and smooth, moreover, the solution and its derivatives of first and second order decay to zero as t yields infinity. Various modifications and generalizations, including two and three dimensional problems, are also discussed
Energy methods for nonlinear hyperbolic Volterra integrodifferential equations by C. M Dafermos( Book )

4 editions published in 1978 in English and held by 5 WorldCat member libraries worldwide

We use energy methods to study global existence, boundedness, and asymptotic behavior as t approaches infinity, of solutions of the two Cauchy problems (and related initial-boundary value problems)
A nonlinear hyperbolic Volterra equation arising in heat flow by John A Nohel( Book )

5 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide

A mathematical model for nonlinear heat flow in a rigid body of material with memory leads to the integrodifferential equation problem which is analyzed by an energy method developed jointly with C.M. Dafermos. Global existence, uniqueness, boundedness and the decay of smooth solutions as t approaches infinity are established for sufficiently smooth and small data, under physically reasonable assumptions
Asymptotic behaviour of positive solutions of nonlinear volterra equations for heat flow by Philippe Clément( Book )

5 editions published in 1980 in English and held by 5 WorldCat member libraries worldwide

This report considers nonlinear heat flow in a homogeneous bar of unit length of a material with memory with the ends of the rod maintained at zero temperature and with the history of temperature prescribed for time t less than or = 0. For such materials the internal energy and heat flux are functionals (rather than functions) of the temperature and of the gradient of temperature respectively. Application of the law of balance of heat leads to a nonlinear Volterra integrodifferential equation, together with appropriate boundary and initial conditions, which model the physical problem. This initial boundary value problem, which cannot be solved explicitly and which is difficult to analyse, can be transformed by standard methods to the general equation (V) given in the Abstract. The resulting kernel b can be expressed in terms of the internal energy and heat flux relaxation functions. These are presumed to be known for the physical problem. The operator A in (V) is a nonlinear differential operator together with boundary conditions, and the forcing term f in (V) depends on the given initial temperature distribution, the given external heat supply, and the given history of temperature
The qualitative theory of ordinary differential equations : an introduction by Fred Brauer( )

1 edition published in 1969 in English and held by 4 WorldCat member libraries worldwide

An Abstract Functional Differential Equation and a Related Nonlinear Volterra Equation by Michael G Crandall( Book )

4 editions published in 1977 in English and held by 4 WorldCat member libraries worldwide

An m-accretive operator is an abstration which covers many nonlinear differential operators arising in applications. This paper shows how certain problems involving evolution equations with m-accretive operators and delay effects in the time dependence can be discussed within the existing abstract theory. Indeed, a (theoretically) simple iterative procedure is shown to converge to the desired solution. (Author)
A nonlinear integral equation occurring in a singular free boundary problem by Klaus Höllig( Book )

4 editions published between 1983 and 1984 in English and held by 3 WorldCat member libraries worldwide

One motivation for the study of the Cauchy problem is its similarity with the well-known one phase Stefan problem (in one space dimension). The principal motivation for the study of this problem is that it serves as a prototype of nonlinear parabolic problems which arise as monotone convexifications of nonlinear diffusion equations with nonmonotone constitutive functions phi
Analysis and continuum mechanics : a collection of papers dedicated to J. Serrin on his sixtieth birthday by S. S Antman( )

1 edition published in 1989 in English and held by 0 WorldCat member libraries worldwide

The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics. All the papers are dedicated to J. Serrin and were originally published in the "Archive of Rational Mechanics and Analysis."
 
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The qualitative theory of ordinary differential equations; an introduction
Alternative Names
Nohel, J. A.

Nohel, J. A. 1924-

Nohel, J. A. (John A.)

Nohel, John

Nohel, John 1924-

Nohel, John A.

Nohel, John Adolph 1924-

Languages
English (157)

Covers
Selected papers of Norman LevinsonSelected papers of Norman LevinsonSelected papers of Norman Levinson