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Now showing items 1-10 of 119

#### Infinitely Many Perfect and Unitary Perfect Polynomials Over Some GF(q)

(University of Texas at Arlington, 1977-05)

The existence is shown of infinitely many non-splitting perfect polynomials over GF(2d), GF(3d), GF(5d) for each odd integer d > 1, and over GF(2d)
for each (even) integer d 1 0 (mod 3). Stronger results show that each ...

#### A New Approach to the Method of Nonlinear Variation of Parameters

(University of Texas at Arlington, 1975-01)

As is well-known [3] the method of variation of parameters is a very useful tool in studying the properties of solutions of perturbed differential equations. Extending the classical variation of constants formula for linear ...

#### On the Existence of Zeros of Lyapunov-Monotone Operators

(University of Texas at Arlington, 1975-02)

Consider a nonlinear operator T from a Banach space into itself.
The study of the existence of zeros of T plays an important role in yielding fixed points of nonlinear operators. The operator T has a zero if and only if ...

#### Sobolev Type Differential Equations

(University of Texas at Arlington, 1977-06)

An imbedding method for solving linear Fredholm integral equations was introduced by Sobolev [3] which involves the solution of the following differential equation with initial value for the resolvent kernel [see pdf for ...

#### Fixed Point Theorems on Closed Sets Through Abstract Cones

(University of Texas at Arlington, 1976-03)

Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map
T : D -> X has a fixed point in D and (ii) the construction of an iterative sequence whose limit is a fixed point in D. ...

#### On the Construction of a Norm Associated with the Measure of Noncompactness

(University of Texas at Arlington, 1976-02)

It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of noncompactness corresponds to the norm in B(E). The results ...

#### On a Boundary Value Problem for a Class of Differential Equations with a Deviating Argument

(University of Texas at Arlington, 1973-10)

Recently, J. Chandra [1] obtained comparison estimates for differential equations with deviating argument
(1) [see pdf for notation]
on the interval I: to [see pdf for notation] , where [see pdf for notation] is a given ...

#### Generalized Hopf Bifurcation and h-Asymptotic stability

(University of Texas at Arlington, 1979-11)

The prevalent approach to the Hopf bifurcation problem is to prove directly the existence of the bifurcating periodic orbits by using such standard
procedures as the implicit function theorem, the LiapunovSchmidt method ...

#### Existence of Solutions in a Closed Set for Delay Differential Equations in Banach Spaces

(University of Texas at Arlington, 1977-01)

The study of the Cauchy problem for ordinary differential equations
in a Banach space has been extensive [1,3-7,9-12]. The two main directions that are followed in such a study are (i) finding monotonicity type conditions ...

#### A Technic in Perturbation Theory

(University of Texas at Arlington, 1974-07)

A study of the effect of perturbations of differential equations depends on the method employed and on the nature of perturbations. One of the most used technics is that of Lyapunov method and the other is the nonlinear ...